   Chapter 13, Problem 22P

Chapter
Section
Textbook Problem

An object moves uniformly around a circular path of radius 20.0 cm, making one complete revolution every 2.00 s. What are (a) the translational speed of the object, (b) the frequency of motion in hertz, and (c) the angular speed of the object?

a)

To determine
The translational speed of the object.

Explanation

Given info: The radius of the circular path is 20cm . The period of the motion is 2.00s .

Explanation:

Translational velocity is the distance travelled in unit time.

v=st

Here,

s is the distance travelled

t time taken to travel distance s

The translational velocity of an object in uniform circular motion is defined by:

v=2πrT

Here,

v is the translational velocity

r is the radius of the circular path

T is the time period of the circular motion

Substituting 20cm for r , 2

b)

To determine
The frequency of the motion.

c)

To determine
The angular speed of the object.

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