   Chapter 7, Problem 7P

Chapter
Section
Textbook Problem

A bicyclist starting at rest produces a constant angular acceleration of 1.60 rad/s2 for wheels that are 38.0 cm in radius, (a) What is the bicycle’s linear acceleration? (b) What is the angular speed of the wheels when the bicyclist reaches 11.0 m/s? (c) How many radians have the wheels turned through in that time? (d) How far has the bicycle traveled?

(a)

To determine
The linear acceleration of the bicycle.

Explanation

Given info: The constant angular acceleration of the bicycle is 1.60rad/s2 and the radius of the wheel is 38.0cm .

Explanation:

The formula for the linear acceleration of the bicycle is,

at=rα

• r  is the radius of the wheel.
• α is the constant angular acceleration.

Substitute 38.0cm for r and 1.60rad/s2 for α to find at .

at=(38

(b)

To determine
The angular speed of the wheels of the bicyclist.

(c)

To determine
The number of radians that the wheel made in that time.

(d)

To determine
The distance travelled by the bicycle.

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