A truck wheel with radius R= 500 cm has an initial angular velocity of 12 rad/s, and is slowing down at a rate of 4.0 rad/s 2. How far in meters will a point on the outer rim of the wheel travel by the time it stops (no slipping). 90 m 18 m 90 m 0.9 m 9 m

A truck wheel with radius R= 500 cm has an initial angular velocity of 12 rad/s, and is slowing down at a rate of 4.0 rad/s 2. How far in meters will a point on the outer rim of the wheel travel by the time it stops (no slipping). 90 m 18 m 90 m 0.9 m 9 m

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter8: Rotational Equilibrium And Rotational Dynamics

Section: Chapter Questions

Problem 3WUE

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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

A truck wheel with radius R= 500 cm has an initial angular velocity of 12
rad/s, and is slowing down at a rate of 4.0 rad/s 2. How far in meters will a
point on the outer rim of the wheel travel by the time it stops (no
slipping).
90 m
18 m
90 m
0.9 m
9 m

Expert Solution

Step 1

The final angular velocity is zero.

The wheel is decelerating.

$\begin{array}{rcl} L e t, R & = & 500 c m = 5.0 m \\ ω_{i} & = & 12 r a d / s \\ ω_{f} & = & 0 r a d / s \\ α & = & - 4.0 r a d / s^{2} \end{array}$

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