At a bicycle repair shop, a bicycle tire of mass M and radius R is suspended from a peg on the wall. The moment of inertia of the tire around the peg is 2MR2 . If the tire is displaced from equilibrium and starts swinging back and forth, what will be its frequency of oscillation

Answers

Answer 1

The frequency of oscillation given the moment of inertia of the tire around the peg will be f = 1/2π✓(g/2R).

How to calculate the frequency of oscillation?

Given I = 2MR²

Torque = Mgsin(theta)R

Here, w = 2πf.

f = 1/2π✓(MgR/I)

f = 1/2π✓(MgR/2MR²)

f = 1/2π(✓g/2R)

Therefore, the frequency of oscillation is f = 1/2π(✓g/2R).

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Related Questions

Light of frequency 2.5 x 1015 Hz illuminates a
piece of iron, and the iron emits photoelectrons
with a maximum kinetic energy of 6.3 eV. What is
the threshold frequency of the metal? Planck's
constant is 6.63 x 10-34 J·s.
.

Answers

Answer:

h f = W + KE

Input energy equals work function plus KE of emitted electron

W = 6.63E-34 * 2.5E15 - 6.3 * 1.6E-19

W = 6.63 * 2.5 * 10^-19 - 10.1 * E-19 ev     (1ev = 1.6E-19 J)

W = (16.6 - 10.1)E-19 = 6.5E-19 J

h f = 6.5E-19 J        for electrons to be emitted with zero KE

f = 6.5E-19 / 6.63E-34 = .98E-15 / sec = 9.8E-14 / sec  (threshold)

The process of going from having work done by muscle to being done by machines is: ________-

Answers

Answer:

Mechanization   perhaps

Explanation:

What are some examples of why parallel circuits are good for everyday life?

Answers

Car headlights, wiring of speaker systems in professional venues, streetlamps, house lighting, some motors, computer address and data busses, alarm systems, Christmas lights and so on.

Explanation:

Parallel circuits are used in wiring almost everything in buildings. You use them to turn on the lights in a room, Use a blow dryer, or plug anything into an outlet

Suppose the collision between the packages is perfectly elastic. To what height does the package of mass m rebound?

Answers

The height, h to which the package of mass m bounces to depends on its initial velocity, v and the acceleration due to gravity, g and is given below:

[tex]h = \frac{v^{2}}{2g}[/tex]

What are perfectly elastic collision?

Perfectly elastic collisions are collisions in which the momentum as well as the energy of the colliding bodies is conserved.

In perfectly elastic collisions, the sum of momentum before collision is equal to the momentum after collision.

Also, the sum of kinetic energy before collision is equal to the sum of kinetic energy after collision.

Since some of the Kinetic energy is converted to potential energy of the body;

[tex]\frac{mv^{2}}{2} = mgh[/tex]

[tex]h = \frac{v^{2}}{2g}[/tex]

Therefore, the height to which the package m bounces to depends on its initial velocity and the acceleration due to gravity.

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8.54 Three identical balls of mass m are placed in the con-
figuration shown in the
figure. Find the location
(0, a)
of the center of mass.
50
(0,0)
(a,0)

Answers

The center of mass is the point located in an average position concerning the objects' positions and their masses. (a/3;a/3) is the location of the COM.  

What si the center of mass?

The center of masses of a given system of particles or objects is the position under which all external forces are acting. Any uniform force acts on this point.

This position is the average position of all the components of the system concerning their masses. It can be placed in one, two or three dimensions according to the system.

Coordinate X of the center of masses is given by the following formula,

Xcom = Σ(Ximi) / Σmi

This is the adition (Σ) of each particle position on the X-axis (Xi) multiplied by their mass (mi), and the result divided by the summation of all masses -total mass-.

In the same way, coordinate Y of the center of masses is given by the following formula,

Ycom = Σ(Yimi) / Σmi

This is the adition (Σ) of each particle position on the Y-axis (Yi) multiplied by their mass (mi), and the result is divided by the summation of all masses.

The center of masses is located in the position (X, Y).

According to this framework, we can get the coordinates of the center of masses for this bidimensional system. Coordinates can be expressed in meters or centimeters (m or cm).

Data:

     Particle ⇒ (X;Y)

Ball 1 ⇒ (0;a)Ball 2 ⇒ (0;0)Ball 3 ⇒ (a;0)  

Coordinate X  ⇒  Xcom =  Σ(Ximi) / Σmi

                             Xcom =  (0m) + (0m) +(am) / m +m +m

                             Xcom =  am / 3m

                             Xcom =  a/3

Coordinate Y  ⇒  Ycom =  Σ(Yimi) / Σmi

                             Ycom =  (am) + (0m) +(0m) / m +m +m

                             Ycom =  am / 3m

                             Ycom =  a/3

Coordinates of the center of masses, (X;Y) = (a/3 ; a/3)

(a/3 ; a/3) is the location of the center of mass in the proposed bidimensional system.

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In an experiment for measuring the speed of sound gun was shot 715 m away from the observer. It was heard 2. 13 seconds after the flash was seen. What was the speed of sound in air at that time?

Answers

The speed of the sound wave after the flash was seen, in the experiment for measuring the speed of sound gun is 110 m/s.

Speed of the sound wave

The speed of the sound wave can be determined by applying the principle of echoe as shown below;

v = 2d/t

where;

d is the distance of the sound wavet is time of motion

v = (2 x 715) / (13)

v = 110 m/s

Thus, the speed of the sound wave after the flash was seen, in the experiment for measuring the speed of sound gun is 110 m/s.

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True or False [2 pts]: As the distance d between a planet and a moon is increased, the strength of tidal forces decreases linearly (i.e., the strength of tides scales as 1/d).

Answers

It is true that as the distance d between a planet and a moon is increased, the strength of tidal forces decreases linearly (i.e., the strength of tides scales as 1.

What is Tidal force?.

Tidal force is the gravitational force that a body on a linear motion experiences which pull the body towards the center of the mass of another varying body because of the gravitational pull of that body at a distance.

Therefore, It is true that as the distance d between a planet and a moon is increased, the strength of tidal forces decreases linearly (i.e., the strength of tides scales as 1.

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Read the length of the metal bar with the correct number of significant figures. 15.000 cm 20 cm 15.0 cm 15 cm 15.00 cm

Answers

The correct number from the options to describe the length of this metal bar is 15 cm or fifteen centimeters.

What are the units used to measure length?

The most common units to measure length include:

CentimeterMeterKilometerMiles

How much does this bar measure?

The unit that should be used is centimeters, considering a rule usually contains centimeters, and this is the unit provided in the image.

Moreover, based on the rule it can be determined the length is 15 centimeters. Other numbers such as 15.0 or 15.000 are innaccurate as there is not need to add more figures in this case.

Note: This question is incomplete because the image is missing. Here is the image

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PLEASE I NEEDHELP !!!!!!!!!!


In the diagram, q1 and q2 are both
+5.00*10^-8 C. What is the electric field
at point P? Include a + or - sign to
indicate the direction.
91
P
92
0.636 m
+ 0.424 m-**
(Remember, E points away from + charges,
and toward - charges.)
(Unit = N/C)

Answers

Answer:

1389.1

For Acellus

Explanation:

The electric field equals the force exerted by the unit positive charge. The electric field at point P is 3.615×10⁶  N/C. Its unit is N/C.

What is an electric field?

When a charged particle is got influenced by another charged particle when bring near to it, a field is created by an electric charge. This field is called the electric field.

The electric field is obtained by taking the ratio between Force and unit positive charge. Force in a charge is because of attraction and repulsion. The SI unit of force is Newton (N).

The unit positive charge is the test charge used to analyze the other charges present in the field. The SI unit of charge is Coloumb (C). The charge is responsible for the creation of an electric field.

From the givens,

The charge  q₁ = q₂ = 5×10⁻⁸ C,

The distance of charges from point P, r₁ = 0.424 m; r₂ = 0.636 m.

The net electric field E = E₁ + E₂

Electric field E = F / q

 E₁ = kq₁ / r₁²          (k = 9×10⁹ Nm²/C²)

     =  9×10⁹× 5×10⁻⁸ / (0.424)²

  E₁   = 2.503×10³ N/C.

E₂ = kq₂ / r₂²

    = 9×10⁹× 5×10⁻⁸ / (0.636)²

E₂ = 1.112×10³ N/C

E = E₁ + E₂

  =2.503×10³ + 1.112×10³

  = 3.615×10³ N/C

Hence, the net electric field is 3.615×10³ N/C.

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Seeds are often found on which part of a gymnosperm?

branch
leaf
cone
stem

Answers

cone i hope this helps

A baseball is flying through the
air at 40 m/s east. This
measurement represents the
ball's
A. speed
B. velocity
C. inertia
D. force

Answers

Answer:

b

Explanation:

it indicate direction of baseball

Which reduces friction, to roll or to slide?​

Answers

to roll, sliding will create more friction

6. The star nearest to our Sun is Alpha Centauri, which is 4.3 light years away. A light
year is the distance that light travels in one year. 1 light year is about
9,500,000,000,000kilometers. Again, use the unit cancelation technique:
How many astronomical units is it to Alpha Centauri? HELP

Answers

Answer:

273,000 Astronomical Units.

Explanation:

4.3 light years = 40,850,000,000,000 kilometeres, 4.3 x 9,500,000,000,000.

Convert kilometers to astronomical unit:

149,597,870 kilometers = 1 AU, convert unit.

40,850,000,000,000 divided by 149,597,870 = 273,065.385222 or approx. 273,000 AU.

Is cereal consider soup?

Answers

Answer:

Explanation:

I guess so because it has ingredients such as froot loops, frosted flakes, and such plus its liquid.

What’s the difference between jumping with ur leg straight and ur leg bend

Answers

You don’t go as high

A car is traveling at a speed of 9.88 m/s. It travels for 9.71 seconds. what distance did the car travel

Answers

Answer:

it should be 21,3 kilometer

what must be the acceleration of a box that is pushed with 86N of force and experiences 29N of friction? The mass of the box is 5kg

Answers

F_net:-

86N-29N57N

Now

Apply Newton's second law

F=ma57=5aa=57/5a=11.4m/s²

How do you know where the centre of curvature(c) and the focal point(f) is on the principle axis

Answers

Answer:

C is radius of sphere

Explanation:

F is C/2


The mass of a body is 25 kg and the value of acceleration due to gravity is 9.8 m/s2. Calculate the weight of body

Answers

Explanation:

[tex]w = mg \\ w = 25kg \times 9.8 \frac{m}{s} ^{2} \\ w = 245\\ [/tex]

A driver needs to make a delivery to an office that is 30 km away. The driver has traveled for 45 minutes west down a straight road at 50 km/h. a. Has the driver traveled far enough to reach the office? Support your response.

Answers

Answer:

Yes, the driver has traveled far enough to reach the office.

Explanation:

Starting at 50 km/h you can break the 50 into 4 sections (50/4 or 1/4 of 50) and that will get you 12.5

45 minutes are 3/4 of an hour which is 50 km/h.

12.5*3=37.5 km (37.5>30)

The first spacecraft to make detailed maps of the galilean satellites of jupiter was/were.

Answers

Answer:

Voyager 1 and 2

Explanation:

how do you find spring constant from a weight (n) vs displacement (m) graph?

Answers

Answer:

Explanation:

The slope of the graph is the spring constant     n/m

Can anyone help me?



Answers

Answer:

option d is your answer

Explanation:

you can find the complete solution in the given attachment

I hope it helped you

What is meant by a zero error in an ammeter?

Answers

Answer:

When the circuit is not connected, the pointer of the ammeter or voltmeter is exactly at zero, thus said to be the instrument has zero error. If the pointer is above the zero mark, the zero error is negative.

What is the amount of work needed to lift a book weighing 20.0n a distance of 2.0m

Answers

Answer:

w = 40 Joules

Explanation:

Formula to get work:

W = F × S

where:

w = work/Joules

F = force/newtons

s = displacement/meters

substitute:

w = 20 × 2

w = 40J

Answer: 40J (Joules)
Explanation below:
Work = Force x Distance
Answer = 20N x 2m
20x2=40
Answer: 40 Joules

How is thermal energy transferred during conduction? check all that apply.

Answers

Answer:

Conduction is the process by which heat energy is transmitted through collisions between neighboring atoms or molecules

Explanation:

A wave has a frequency of 20.0 Hz and a velocity of 5.0 m/s. What is its wavelength?​

Answers

 

Answer:

0.25 m

Explanation:

 λ = v/f

I hope it helped you

This man is jumping through the air what are forces use​

Answers

Answer:

Thrust / Lift / Gravity

Explanation:

He must create enough force of thrust to jump for a short time and gravity pulls him back down almost immediately.

Answer:

gravity and resistance, the man is moving so the force is unbalanced

Explanation:

How does your Liver work with your Bladder in your body?

Answers

Answer:

The liver filters the blood of toxins before it continues through the body. It also removes excess sugar from the arteries. Your kidney then further filters the blood for water-soluble waste and toxins to be excreted and finally, your bladder gets read of that water-soluble waste.

how many levels does the philippine physical activity pyramid have?

Answers

Four levels of activaties , lifestyle, Aerobics , recreactional activaty and muscular development , i hope this helps ;)
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