Question

An object is experiencing an acceleration of 9.0 m/s? while traveling in a circle at a velocity of

6.2 m/s. What is the radius of its motion?

Answer 1

4.27m

Step-by-step explanation:

Recall that for uniform rotational motion,

the formula for centripetal acceleration is given as

Centripetal acceleration = ( velocity)² / radius

in our case we are given :

Centripetal acceleration = 9.0 m/s²

velocity = 6.2 m/s

substituting these into the formula:

9.0 = 6.2² / radius

radius = 6.2² / 9.0 = 4.27m