Question

An object is in uniform circular motion with a centripetal acceleration a=4.3 m/s2 . If the period of the circular motion is T=1.8 s, what is the radius of the circle?

0.56 m

0.71 m

0.14 m

0.35 m

0.46 m

Answer 1

The angular velocity , is related to the time period T as
= 2 / T
= 2 x 3.14 / 1.8 s
= 3.489 rad/s
The centripetal acceleration
a = v2 /r
a = (r )2 / r = r 2
r = a / 2
r = 4.3 m/s2 / (3.489 rad/s)2
r = 0.35 m