The motors that drive airplane propellers are, in some cases, tuned by using sound beats. The whirring motor produces a sound wave of the same frequency as the propeller. Consider a plane with 2 engines driving 2 propellers. You want to tune them to turn at identical frequencies.

Required:
a. If one single-bladed propellor is turning at 575 rpm and your hear 2.0 Hz beats when you run the second propeller, what are the two possible frequencies of the second propeller in Hz and rpm?
b. How do you know the answer in part (B) to be correct?

Answers

Answer 1

Complete Question

The motors that drive airplane propellers are, in some cases, tuned by using sound beats. The whirring motor produces a sound wave of the same frequency as the propeller. Consider a plane with 2 engines driving 2 propellers. You want to tune them to turn at identical frequencies.

Required:

a. If one single-bladed propellor is turning at 575 rpm and your hear 2.0 Hz beats when you run the second propeller, what are the two possible frequencies of the second propeller in Hz and rpm?

b

Suppose you increase the speed of the second propeller slightly and find that the beat frequency changes to 2.10 Hz . In part (A), which of the two answers was the correct one for the frequency of the second single-bladed propeller ?

c. How do you know the answer in part (B) to be correct?

Answer:

a

The two possible frequencies of the second propeller in Hz

    [tex]f_1 =  11.58\  Hz [/tex]

    [tex]f_2 =  7.58 \  Hz [/tex]

The two possible frequencies of the second propeller in rpm

      [tex]f_1 =  695 \  rpm [/tex]

      [tex]f_2 =  455 \  rpm [/tex]  

b

The  correct answer for the frequency of the second single-bladed propeller is  

        [tex]f_1 =  695 \  rpm [/tex]

c

The above answer is correct because when the beat frequency of the second propeller  increases(i.e from 2.0 Hz  to  2.10 Hz) the  frequency of the second propeller becomes much greater than that of the first propeller so looking at the two possible value of frequency of the second propeller (i.e  695 rpm and  455 rpm ) we see that it is  695 rpm that is showing that increase of the second propeller compared to the first propeller

Explanation:

From the question we are told that

    The number of engines is  n  =  2

    The  number of propellers is m =  2

    The  angular frequency  of the single-bladed propellor [tex]w =   575 rpm[/tex]

     The frequency of the beat heard at this velocity is  [tex]f =  2.0 \  Hz[/tex]

     

Converting the beat frequency  to rpm

            [tex]f =  2 * 60  = 120 \ rpm[/tex]

Generally the the two possible frequencies of the second propeller in  rpm is

     [tex]f_1 =  w + f[/tex]

=>   [tex]f_1 =  575  + 120[/tex]

=>   [tex]f_1 =  695 \  rpm [/tex]

And

      [tex]f_2 =  w - f[/tex]

=>   [tex]f_2 =  575  - 120[/tex]

=>   [tex]f_2 =  455 \  rpm [/tex]  

Converting the angular frequency  of the single-bladed propellor to rpm

     [tex]w =   \frac{575}{60} [/tex]

       [tex]w =  9.58 \  Hz [/tex]

Generally the the two possible frequencies of the second propeller in  

Hz is

          [tex]f_1 =  w + f[/tex]

=>   [tex]f_1 =  9.58  + 2[/tex]

=>   [tex]f_1 =  11.58\  Hz [/tex]

And

      [tex]f_2 =  w - f[/tex]

=>   [tex]f_2 =  9.58  -  2[/tex]

=>   [tex]f_2 =  7.58 \  Hz [/tex]    


Related Questions

The rectangular boat shown below has base dimensions 10.0 cm × 8.0 cm. Each cube has a mass of 40 g, and the liquid in the tank has a density of 1.0 g/mL. How far has the boat sunk into the water?
A. 3.2 cm
B. 4.0 cm
C. 4.8 cm
D. 8.0 cm

Answers

Answer:

A that the answer I think I'm not tryna do u bad thi

Explanation:

but try it

Which method of measurement is most likely to be precise but lacks

accuracy?

A. Measuring the distance across a pond by counting how many

strokes you make as you swim across

B. Measuring time by counting the number of breaths you take as

you do an activity

O C. Measuring your weight with a scale that measures to the nearest

tenth of a kg but adds 2 kg to each measurement

D. Measuring the length of a bus using a tape measure that

measures to the nearest millimeter

Answers

Answer:

C

Explanation:

Measuring your weight with a scale that measures to the nearest

tenth of a kg but adds 2 kg to each measurement

What is the answwr I need help

Answers

D. Velocity / Motion

a car with a mass of 2000kg is traveling at a velocity of 50 m/s. the engine supplies a force of 1000N forward.the force of friction is 1000 N backwards. What is the velocity after 5 seconds

Answers

Answer:

no

Explanation:

ok

It is the final seconds of an ice hockey game between the Flyers and the Bruins. The Bruins are down by 1 point. With 20 s left in the game, the Bruins pull the goalie and have him play as a forward in an attempt to tie the game.
The Flyers successfully defend their goal for 9 s. With only 1.25 s remaining on the game clock, a Flyer shoots the puck on the ice past the skates and sticks of the other players and toward the Bruins' goal. The puck is 37 m from the goal when it leaves the stick with an initial horizontal velocity of 30 m/s. The shot is perfectly directed toward the empty goal, but the ice slows the puck down at a constant rate of 0.50 m/s2 as it slides toward the goal. None of the Bruins can stop the puck before it reaches the goal.
a. Where is the puck when the game clock reaches zero and the horn sounds to end the game?
b. Do the Flyers win the game by 1 or 2 points?

Answers

Answer:

a

[tex]P =0.1094 \ m[/tex] past the goal post

Yes the Flyers won the match

Explanation:

Generally the distance covered by the pluck during the last 1.25 seconds is mathematically represented as

     [tex]D = ut + \frac{1}{2} * a * t^2[/tex]

=>  [tex]D =30  * 1.25 + \frac{1}{2} * (-0.5) * (1.25)^2[/tex]

=>   [tex]D =37.1094 \ m  [/tex]

Generally the position of the puck when the game clock reaches zero is mathematically represented as

     [tex]P = 37.1094 -37[/tex]

       [tex]P =0.1094 \ m[/tex] past the goal post

Given that the Bruins where one point down and Flyers scored another goal  it means that the flyer are now two point up hence they won the match

Please help me! I will give you a thanks!

Answers

Answer:

The answer is D

Explanation:

Because it is big and can fit the truck.

A 10.0-cm-diameter and a 20.0-cm-diameter charged ring are arranged concentrically (so they share the same axis). Assume both are centered at the origin. The 10 cm ring is charged to 30.0nC, while the 20 cm ring is charged to 60.0nC. Using the library electric field formula for Ering, compute the total electric field strength numerically at:

a, The origin
b. 40.0 cm along the axis of the 10 cm ring.

Answers

Answer:

a)     Eₓ = 0  ,   b)    c)    Ex_total = 3.96 10⁻⁶ N

Explanation:

For this problem we will look for the expression for the electric field of a ring of charge, at a point on its central axis.

From the symmetry of the ring, the resulting field is in the direction of the axis, we suppose that it corresponds to the x and y axis and the perpendicular direction but since the two sides of the annulus are offset.

       dE = k dq / r²

The component of this field in the direction to x is

       d Eₓ = dE cos θ

the distance of ring to the point

        r² = x² + a²

where a is the radius of each ring

the cosine is the adjacent leg between the hypotenuse

       Cos θ = x /r

we substitute

   d Ex = k / (x² + a²)  dq      x /√ (x² + a²)

we integrate

      Ex = ∫  k / (x² + a²)^{3/2}  x dq

      Ex = k x/ (x² + a²)^{1.5}   Q

the total field is the sum of the fields created by each ring, since they are on the same line (x-axis), you can perform an algebraic sum

     Eₓ_total = Eₓ₁ + Eₓ₂

a) at the origin x = 0

           in field is zero, since the numerator e makes zero

              Eₓ = 0

b) for point x = 40.0cm = 0.400 m

we substitute the values ​​in our equation

       Ex_total = k x [Q (x² + 0.1²)^{1.5} + 2Q / (x² + 0.2²2) ^3/2]

        Ex_total = k Q x [1 / (x² + 0.01)^1.5 + 2 / (x² + 0.04)^1.52]

         

let's calculate

       Ex_total = 9 10⁹ 30 10⁻⁹ 0.40 [1 / (0.4 2 + 0.01) 3/2 + 2 / (0.4 2 + 0.04) 3/2] 10⁻⁹

       Ex_total = 108 [14.2668 + 22.36] 10⁻⁹

       Ex_total = 3.96 10⁻⁶ N

What is the mass of a 2 kg object on the Earth and on the moon?

Answers

Answer:

Same

Explanation:

Mass is the quantity of matter in a certain object.

WHEREVER you take a 2kg object, the mass will remain 2kg. All that changes is the Weight ..Weight the force which the centre of a Planet uses to pull everything towards itself.

On earth, it is 9.81 whereas on the Moon it is 1.6

Here, we are required to determine the mass of a 2kg object on the Earth and on the moon.

The mass of the 2kg object is the same on earth and on the moon.

The mass of an object is simply defined as the quantity of matter present in the object and this quantity remains constant.

The mass of an object is simply defined as the quantity of matter present in the object and this quantity remains constant.In essence, if the mass of an object is 2kg, this mass remains constant on planet earth and the moon.

PS: The weight of an object which is a measure of the acceleration due to gravity which differs with location and position is the constant which may be different about the object on the earth and the moon respectively.

The acceleration due to gravity on earth and the moon is 9.8m/s² and 1.6m/s² respectively.

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Which change will decrease the electric force between two positively charged objects?
1.moving them closer together
2.moving them farther apart
3.adding neutrons
4.removing electrons

Answers

Answer:

2

Explanation:

Answer:

The answer is B

Explanation:

Read each scenario and then answer the questions.
Scenario A: A shopping cart is pushed a distance of 3 m by a force of 15 N.
Scenario B: A shopping cart is pushed a distance of 4 m by a force of 12 N.
Scenario C: A shopping cart is pushed a distance of 6 m by a force of 10 N.

Which scenario requires the most work?
Which scenario requires the least work?

Answers

Answer:

C requires the most work and A requires the least work

Answer:

Which scenario requires the most work?

✔ C

Which scenario requires the least work?

✔ A

A coaxial cable has a charged inner conductor (with charge +8.5 µC and radius 1.304 mm) and a surrounding oppositely charged conductor (with charge −8.5 µC and radius 9.249 mm).

Required:
What is the magnitude of the electric field halfway between the two cylindrical conductors? The Coulomb constant is 8.98755 × 10^9 N.m^2 . Assume the region between the conductors is air, and neglect end effects. Answer in units of V/m.

Answers

Complete question:

A 50 m length of coaxial cable has a charged inner conductor (with charge +8.5 µC and radius 1.304 mm) and a surrounding oppositely charged conductor (with charge −8.5 µC and radius 9.249 mm).

Required:

What is the magnitude of the electric field halfway between the two cylindrical conductors? The Coulomb constant is 8.98755 × 10^9 N.m^2 . Assume the region between the conductors is air, and neglect end effects. Answer in units of V/m.

Answer:

The magnitude of the electric field halfway between the two cylindrical conductors is 5.793 x 10⁵ V/m

Explanation:

Given;

charge of the coaxial capable, Q = 8.5 µC = 8.5  x 10⁻⁶ C

length of the conductor, L = 50 m

inner radius, r₁ = 1.304 mm

outer radius, r₂ = 9.249 mm

The magnitude of the electric field halfway between the two cylindrical conductors is given by;

[tex]E = \frac{\lambda}{2\pi \epsilon_o r} = \frac{Q}{2\pi \epsilon_o r L}[/tex]

Where;

λ is linear charge density or charge per unit length

r is the distance halfway between the two cylindrical conductors

[tex]r = r_1 + \frac{1}{2}(r_2-r_1) \\\\r = 1.304 \ mm \ + \ \frac{1}{2}(9.249 \ mm-1.304 \ mm)\\\\r = 1.304 \ mm \ + \ 3.9725 \ mm\\\\r = 5.2765 \ mm[/tex]

The magnitude of the electric field is now given as;

[tex]E = \frac{8.5*10^{-6}}{2\pi(8.85*10^{-12})(5.2765*10^{-3})(50)} \\\\E = 5.793*10^5 \ V/m[/tex]

Therefore, the magnitude of the electric field halfway between the two cylindrical conductors is 5.793 x 10⁵ V/m

What does your ecological foot print tell you?

Answers

Answer:

How big your foot is. (Big Brain)

Explanation:

The lower the angle of the slope, ________ the acceleration along the ramp, therefore, the speed at the bottom of a slope will be_______, and, consequently, the control will be better.
The acceleration along the ramp, therefore, the speed at the bottom of a slope will be:__________
a. lower
b. gcostheta
c. higher
d. gsintheta

Answers

Answer:

Lower

Lower

gsintheta (gsinθ)

Explanation:

The sum of forces resolved parallel to the inclined plane is given by;

F - mgsinθ = 0

ma - mgsinθ = 0

ma = mgsinθ

a = gsinθ

Acceleration is proportional to angle of inclination, thus the lower the angle of the slope, lower the acceleration along the ramp.

therefore, the speed at the bottom of a slope will be lower, (velocity is directly proportional to acceleration) and, consequently, the control will be better.

The acceleration along the ramp, is gsintheta (gsinθ)

PLS HELP
Given the following blackbody curve graph, what color will Star A be?

Blackbody radiation graph for Star A, which has a surface temperature of 5,700 degrees Celsius. At the point where the curve peaks, the wavelength is approximately 550 nanometers, in the middle of the visible light spectrum.

Blue
Red
White
Yellow

Answers

Answer:

Yellow

Explanation:

It is for sure not red

Blackbody radiation graph for Star A, which has a surface temperature of 5,700 degrees Celsius. At the point where the curve peaks, the wavelength is approximately 550 nanometers, in the middle of the visible light spectrum. The color will Star A be Yellow.

What is Wavelength?

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm).

A blackbody's spectrum is continuous (it emits some light at all wavelengths), and it peaks at a particular wavelength. For hotter objects, the peak of the blackbody curve shifts to shorter wavelengths in a spectrum. If you conceive of a blackbody in terms of visible light, the hotter it is, the bluer its peak emission wavelength will be. For instance, the temperature of the sun is about 5800 Kelvin. With this temperature, a blackbody's peak is roughly 500 nanometers away, or the wavelength of yellow.

The color will Star A be Yellow.

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How much force is needed to accelerate an object with a mass of 90 kg at a rate of 1.2 ms

Answers

Force = mass x acceleration = 90 x 1.2 = 108 Newtons

Each shot of the laser gun most favored by Rosa the Closer, the intrepid vigilante of the lawless 22nd century, is powered by the discharge of a 1.33 F capacitor charged to 77.9 kV. Rosa rightly reckons that she can enhance the effect of each laser pulse by increasing the electric potential energy of the charged capacitor. She could do this by replacing the capacitor's filling, whose dielectric constant is 427, with one possessing a dielectric constant of 983.
A. Find the electric potential energy of the original capacitor when it is charged.
B. Calculate the electric potential energy of the upgraded capacitor when it is charged.

Answers

Answer:

A) 4.035 × 10^(9) J

B) 9.29 × 10^(9) J

Explanation:

We are given;

Capacitance of the original capacitor; C = 1.33 F

Potential difference given to the original capacitor; V = 77.9 kV = 77.9 × 10³ V

A) The formula for Potential energy (U) for the original capacitor is given as:

U = ½CV²

Plugging in the relevant values, we have;

U = ½ × 1.33 × (77.9 × 10³)²

U = 4.035 × 10^(9) J

B) We are told that the capacitor with dielectric constant of 427, was replaced with one possessing a dielectric constant of 983.

Thus;

U = ½ × 1.33 × (983/427) × (77.9 × 10³)²

U = 9.29 × 10^(9) J

Pain during sports is completely normal and should not be a concern.
Please select the best answer from the choices provided.
OT
OF

Answers

Answer:

F

Explanation: Its common sence

Answer:

It’s false

Explanation:

2020 (WORST YEAR EVER) on Edge ;-)

A gymnast on the uneven parallel bars is at rest, tipped at a 45∘ angle from the vertical. The distance from her hands to her feet is 1.8 m. If we model her body as having a uniform cross section and assume that her center of gravity is midway between her hands and her feet, what is her initial angular acceleration?

Answers

The initial angular acceleration is 5.78 rad/s^2.

Calculation of the angular acceleration;

Since

A gymnast on the uneven parallel bars is at rest, tipped at a 45∘ angle from the vertical. The distance from her hands to her feet is 1.8 m.

So,

[tex]Torque \tau = r \times F\\\\ \tau = l\alpha\\\\so, r \times F = l\alpha\\\\mg\ cos\ 45 \times r = (1/3)mR^2 \times \alpha\\\\9.8\times cos\ 45 \times 0.9 = (1/3)\times (1.8)^2 \times \alpha\\\\\alpha = 5.78\ rad/s^2[/tex]

hence, The initial angular acceleration is 5.78 rad/s^2.

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Use Percentages Given that the molecular mass of magnesium
hydroxide (MOH.) is 58.32 amu and the atomic mass of an atom of
oxygen is 15.999 amu, what percentage of this compound is oxygen?

Answers

Answer:

27%

Explanation:

15.999 divided by 58.32 = .27433128

Move the decimal place over 2 places.

27%

Make use of percentages. Given that the molecular mass of magnesium hydroxide (MOH.) is 58.32 amu and the atomic mass of an oxygen atom is 15.999 amu, oxygen accounts for 27% of this compound.

Molecular versions of many substances

Chemical substances known as molecular compounds assume the shape of distinct molecules. Examples include common compounds like carbon dioxide (CO2) and water (H2O) (Figure 3.1.1 ).

These substances differ significantly from ionic substances like sodium chloride (NaCl). When metal atoms give up one or more of their electrons to non-metal atoms, ionic compounds are created. The cations and anions that result

Therefore,

58.32 / 15.999 (27.3%) =.27433128

Add two places to the decimal place.

27%

The molar mass, which is stated in g/mol, is defined as the mass of a specific material divided by the amount of a substance. In light of this, the molar mass is average. Amu, short for atomic mass units, is the unit used to quantify molecular mass.

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Particles in a warmer block will have
the particles in the colder block.
kinetic energy and move
than
more / slower
less / slower
less / faster
more / faster

Answers

Answer:

more/ faster

Explanation:

I got it right on my test

Particles in a warmer block will have more kinetic energy and move faster than the particles in a colder block option (D) more/ faster is correct.

What is kinetic energy?

The energy which an item has as a function of motion is determined by the initial energy. It is described as the effort required to propel a material body from rest to the given velocity.

As we know,

As the temperature rises, the particles' kinetic energy rises and they begin to move more quickly. Particles have higher kinetic energy in gases than in solids.

Thus, particles in a warmer block will have more kinetic energy and move faster than the particles in a colder block option (D) more/ faster is correct.

The question is incomplete.

The complete question is:

Particles in a warmer block will have ________ kinetic energy and move ______than the particles in the colder block.

more / slowerless / slowerless / fastermore / faster

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Analysis of an accident scene indicates a car was traveling at a velocity of 70.0 mph (31.3 m/s) along the positive x-axis at the instant the brakes were applied and then traveled a distance of 115 m before hitting an obstacle at a velocity of 4.65 m/s. Determine the car's acceleration a (assumed constant) and the time t between applying the brakes and hitting the obstacle. (Assume the car is moving in the positive direction. Indicate the direction with the sign of your answer.)

Answers

Answer:

The acceleration of the car is -4.166 m/s²

The time between applying the brakes and hitting the obstacle is 6.4 s

Explanation:

Given;

initial velocity of the car when the brake was applied, u = 31.3 m/s

final velocity of the car after hitting an obstacle, v = 4.65 m/s

distance traveled before stopping, s = 115 m

The acceleration of the car is given by;

v² = u² + 2as

2as = v² - u²

a = (v² - u²) / 2s

a = (4.65² - 31.3²) / (2 x 115)

a = -4.166 m/s²

The time between applying the brakes and hitting the obstacle;

v = u + at

at = v - u

t = (v - u) / a

t = (4.65 - 31.3) / -4.166

t = 6.4 s

A bungee cord is 30.0 mm long and, when stretched a distance xx, it exerts a restoring force of magnitude kxkx. Your father-in-law (mass 97.0 kgkg) stands on a platform 45.0 mm above the ground, and one end of the cord is tied securely to his ankle and the other end to the platform. You have promised him that when he steps off the platform he will fall a maximum distance of only 41.0 mm before the cord stops him. You had several bungee cords to select from, and you tested them by stretching them out, tying one end to a tree, and pulling on the other end with a force of 420 NN.
Part A When you do this, what distance will the bungee cord that you should select have stretched?

Answers

Answer:

0.65 m

Explanation:

See attachment for calculation

3. What would happen if Earth did not rotate?

Answers

Answer:

If Earth were to stop spinning on its axis, gradually the oceans would migrate towards the poles from the equator.  The atmosphere would still be in motion with the Earth's original 1100 mile per hour rotation speed at the equator. And this means, rocks, topsoil, trees, buildings,  and so on, would be swept away into the atmosphere.

Hope that helped <3

Q1: An object with a charge of 1.2 C is located 4.5 m away from a second object that has a charge of 0.36 C. Find the electrical force that the objects exert on each other. Use 8.988100 N·m2/C2 for the value of Coulomb's constant. Give your answer to two decimal places.

Answers

Answer:

a) F= 0,19  [N]   according to problem statement

b) F = 0,19*10⁹ [N]  using the right value of K

Explanation:

The force between two electric charges is according to Coulomb´s law is:

F = K * q₁*q₂ / d²    where  q₁  and q₂ are the charges on body one and body 2 respectively, d is the distance between the two bodies and K is a constant  K = 8,988100*10⁹ N.m²/C². The problem establishes to use        K = 8,988100 N.m²/C².

NOTE: To value of is :  K = 8,988100*10⁹ N.m²/C². I am going to solve the problem using K = 8,988100 N.m²/C² if that information was an error, all we need to get the right answer is multiply the result by 10⁹

Then:

F = 8,988100 * 1,2* 0,36 / (4,5)²     [ N*m²/C² ] * [ C*C*/m²]

F = 3,882859/ 20,25  [N]

F= 0,19  [N]

The force is of repulsion since the two charges are positive and in the direction of the straight line which passes through the centers of the bodies

A 0.10 g honeybee acquires a charge of +23 pC while flying, due to friction of the wings against the air. We will try and understand why this is advantageous. A. The electric field near the surface of the earth is typically 100 N/C, directed downward. What is the ratio of the magnitude of the electric force on the bee to the magnitude of the bee's weight?

Answers

Answer:

The ratio of the magnitude of the electric force on the bee to the magnitude of the bee's weight is 2.35 x 10⁻

Explanation:

Given;

mass of the honeybee, m = 0.1 g

charge acquired by the honeybee, Q = 23pC = 23 x 10⁻¹² C

the electric field near the earth's surface, E = 100 N/C

The magnitude of the electric force on the bee is given by;

F = QE

F = (23 x 10⁻¹²)(100) = 23 x 10⁻¹⁰ N

The weight of the bee is given by;

W = mg

W = 0.1 x 10⁻³ x 9.8

W = 9.8 x 10⁻⁴ N

The the ratio of the magnitude of the electric force on the bee to the magnitude of the bee's weight is given by;

[tex]\frac{F}{W} = \frac{23*10^{-10}}{9.8*10^{-4}} = 2.35 *10^{-6}[/tex]

Therefore, the ratio of the magnitude of the electric force on the bee to the magnitude of the bee's weight is 2.35 x 10⁻

Which of the following subatomic particles determine the identify of an atom?
A. Protons
B. Neutrons
C. Electrons
D. Nucleus

LOL SOMEONE PLS HELP THIS IS PAST DUE SINCE A WEEK AGO IM STRESSING SO BAD LAMISJSKAKAO

Answers

A. Protons. It derterminate its atomic number.

If the point B was initially at the same level as the center of the pulley C, what is the direction of the velocity of point B after the pulley at A has undergone 2 revolutions? Give this in degrees from the horizontal (positive in the counterclockwise direction, negative in the clockwise direction)

Answers

Answer:

θ = 720º

Explanation:

Let's use the rotational kinematics relations for this exercise, remember that all angles must be given in radians.

Let's reduce the magnitudes to the SI system

         θ = 2 rev (2π rad / 1 rev) = 4π rad

we assume that the pulley has a radius r

linear and angular coordinates are related

         y = θ r

let's calculate

         y = 4π r

to convert the distance in angles to radians

        θ = y / r

        θ = 4π

let's change this angle to degrees

        π rad = 180º

         θ = 4π rad (180º /π rad)

         θ = 720º

A man throws a football straight into the air Which type of energy is the
football gaining as it rises

Answers

Answer:

It is gaining potential energy

Answer: it could also be gravitational potential energy

This is because as it rises in the air it will gain more energy to fall back down

Chief Boolie,

the jungle dweller, is out hunting for dinner when a coconut falls from a

tree and lands on his toe. If the nut fell for 1.4s, how fast was it traveling

when it hit Chief Boolie's toe? *

Answers

Answer:

13.72 m/s

Explanation:

Here, we are to determine the final velocity of the coconut. Applying first equation of free fall;

v = u + gt

where: v is the final velocity of the object, u is the initial velocity, g is the force of gravity and t is the time.

Since the coconut falls in the direction of gravity, then g = 9.8 m/[tex]s^{2}[/tex].

t = 1.4 s, u = 0 m/s

So that;

v = 0 + 9.8(1.4)

  = 13.72

The coconut hits Chief Boolie's toe with a velocity of 13.72 m/s

You observe two cars traveling in the same direction on a long, straight section of Highway 5. The red car is moving at a constant vR equal to 34 m/s and the blue car is moving at constant vB equal to 28 m/s. At the moment you fist see them, the blue car is 29.0 m ahead of the red car.

Required:
a. How long after you first see the cars does the red car catch up to the blue car?
b. How far did the red car travel between when you fist saw it and when it caught up to the blue car?
c. Suppose the red car started to accelerate at a rate of a equal to 5/3 m/s^2 just at the moment you saw the cars.
d. How long after that would the red car catch up to the blue car?

Answers

Answer:

a) 3.66 s

b) 124.4 m

c) 3.12s

Explanation:

Given that

Speed of the Red Car, v₁ = 34 m/s

Speed of the Blue Car, v₂ = 28 m/s

Distance between the two cars, d = 22 m

The difference between the speed of the cars is: 34 - 28 = 6 m/s

From this, we can deduce that the red car will be catching up to the blue car at a speed of 6 m/s.

1)

If we divide the distance by the difference in speed. This becomes

d/v = 22/6 = 3.66 s. Which means, It takes 3.66 seconds for the red car to meet up with the blue car.

2

From the previous part, we were able to confirm that it took 3.66 seconds for the red car to meet up the blue car. Also, the speed with which it were traveling was travelling at, was constant, so we only need to multiply it by the time from (1) to get the distance.

v = d * t = 34 * 3.66 = 124.4

Therefore the red car travels at 124.4 m before catching up to the blue car.

3

If the red car starts to accelerate the moment we see it, the time it will take, to get to the blue car will be less than what we had gotten. We can find this using one of the equations of motion.

S = ut + ½gt², where

S = 22

u = 6

t = ?

g = 2/3

22 = 6t + 1/3t²

By using the quadratic formula, we find out the two answers listed below

t1 = 3.12 s

t2 = - 21.12 s

We all know that negative time is not possible, so the answer is t1. At 3.12 seconds

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