Chapter 8, Problem 39P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a friction less, vertical axle. A constant tangential force of 250. N applied to its edge causes the wheel to have an angular acceleration of 0.940 rad/s2.(a) What is the moment of inertia of the wheel? (b) What is the mass of the wheel? (c) If the wheel starts from rest, what is its angular velocity after 5.00 s have elapsed, assuming the force is acting during that time?

(a)

To determine
The moment of inertia of the wheel.

Explanation

Given info: The radius of the wheel is 0.330â€‰m , the constant tangential force is 250â€‰N , and the angular acceleration of the wheel is 0.940â€‰rad/s2 .

Explanation: The torque of the large grinding wheel is Ï„=rFsinÎ¸=IÎ± and as the angle of the force is tangential to the wheel, sinÎ¸â†’sin90Â°=1 .

The formula for the moment of inertia of the wheel is,

I=rFÎ±

• r is radius of the wheel.
• F is tangential force.
• Î± is angular acceleration of the wheel.

Substitute 0.330â€‰m for r , 250â€‰N for F , and 0

(b)

To determine
The mass of the wheel.

(c)

To determine
The angular velocity of the wheel.

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