   Chapter 3.1, Problem 3.3QQ

Chapter
Section
Textbook Problem

A girl on a bicycle takes 15.0 s to ride half way around a circular track of radius 10.0 m (Figure 3.4). (a) What is the girl’s average speed? (b) What is the magnitude of her average velocity?

(a)

To determine
The average speed of the girl.

Explanation

Given info: The radius of the circular track is 10.0m . The time taken to ride halfway around the circular track is 15.0s .

Explanation:

The average speed of an object is defined as the path length travelled divided by the time interval.

The formula to find the circumference of a circle is

C=2πR

Here,

R is the radius of the circle.

To cover half the circular path, the distance travelled is πR .

The formula to find the average speed is,

vav=dΔt

Here,

d is the distance covered

Δt is the time interval

The distance travelled by the girl is halfway around a circular track.

Substitute πR for d

(b)

To determine
The magnitude of the average velocity of the girl.

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