   Chapter 8, Problem 11WUE

Chapter
Section
Textbook Problem

# A bicycle tire has a mass of 2.70 kg and a radius of 0.350 m. (a) Treating the tire as a hoop, what is its moment of inertia about an axis passing through the hub at its center? (b) What torque is required to produce an angular acceleration of 0.750 rad/s2? (c) What friction force applied tangentially to the edge of the tire will create a torque of that magnitude? (See Section 8.5.)

a)

To determine
The moment of inertia of the tire about an axis passing through its centre.

Explanation

Given Info: The mass of the tire is 2.70kg . The radius of the tire is 0.350m .

The moment of inertia about the centre of a hoop is defined as,

I=Mr2

• I is the moment of inertia
• M is the mass of the hoop
• r is the radius

Substitute 2.70kg for M , 0

b)

To determine
The torque required to produce an angular acceleration of 0.750rads-2 .

c)

To determine
The frictional force which is applied at the edge of the tire and works tangentially in order to produce torque of 0.248Nm .

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