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(II) A small rubber wheel is used to drive a large pottery wheel. The two wheels are mounted so that their circular edges touch. The small wheel has a radius of 2.0 $\mathrm{cm}$ and accelerates at the rate of 7.2 $\mathrm{rad} / \mathrm{s}^{2}$ and it is in contact with the pottery wheel (radius 21.0 $\mathrm{cm} )$ without slipping. Calculate $(a)$ the angular acceleration of the pottery wheel, and $(b)$ the time it takes the pottery wheel to reach its required speed of 65 rpm.

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(a) 0.69 $\mathrm{rad} / \mathrm{s}^{2}$(b) 9.9 $\mathrm{s}$

Physics 101 Mechanics

Chapter 10

Rotational Motion

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Cornell University

Rutgers, The State University of New Jersey

University of Washington

Lectures

02:21

In physics, rotational dynamics is the study of the kinematics and kinetics of rotational motion, the motion of rigid bodies, and the about axes of the body. It can be divided into the study of torque and the study of angular velocity.

02:34

In physics, a rigid body is an object that is not deformed by the stress of external forces. The term "rigid body" is used in the context of classical mechanics, where it refers to a body that has no degrees of freedom and is completely described by its position and the forces applied to it. A rigid body is a special case of a solid body, and is one type of spatial body. The term "rigid body" is also used in the context of continuum mechanics, where it refers to a solid body that is deformed by external forces, but does not change in volume. In continuum mechanics, a rigid body is a continuous body that has no internal degrees of freedom. The term "rigid body" is also used in the context of quantum mechanics, where it refers to a body that cannot be squeezed into a smaller volume without changing its shape.

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(II) A small rubber wheel …

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A small rubber wheel is us…

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A horizontal pottery whee…

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ANGULAR SPEED A car…

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ANGULAR SPEED A car is mov…

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A car has wheels each with…

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You are given the rate of …

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A mechanical wheel initial…

A potter's wheel of r…

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A car is moving at a spee…

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What is the angular speed …

for party because there is no slipping between the wheels. That tangential component of the linear acceleration of each wheel must be the same. So we can say that the tangential acceleration of the smaller wheel will be equal to the 10 gentle acceleration of the larger wheel. And so we convince, say that the bling angular acceleration of the small, real times the radius of the small wheel will be equal to the angular acceleration of the large real multiplied by the radius of the large real. We can then say that the angular acceleration of the larger of the large wheel will be equaling the angular acceleration of the small wheel multiplied by the radius of the small wheel, divided by the radius of the large wheel. And we can solve. This would be equaling 7.2 radiance for second squared. This would be multiplied by 2.0 centimeters, divided by 21.0 centimeters. And so we can say that, then the angular acceleration of the larger wheel is equaling 0.6 86 radiance per second squared. This would be our answer for part a foreign part B. We're going to assume that the pottery wheel starts from rest, and we're going to convert the speed to an angular speed and then use equation 10 9 10 9 A. Rather. And so we can say omega will first equal 65. We can say 65 revolutions per minute, multiplied by two pi radiance for every revolution and then multiplied by one minute for every 60 seconds. This is giving us 6.807 radiance per second. And we can then say that time would be equaling the final angular acceleration minus the initial angular acceleration. We know to be zero divided by Alfa. And so this would be equaling 6.807 radiance Her second, divided by 0.685 2nd 0.6857 will round at the very end radiance per second squared, and we find that the time is gonna be approximately 9.9 seconds. This would be our final answer for part B. That is the end of the solution. Thank you for

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