Question

An object revolves uniformly in a circle of diameter `0.80` m and completes 100 rev `"min"^(-1)`. Find its time period and angular velocity.

Answer 1

Diameter = 0. 80 m
Radius r= 0.4 m
Given that frequency
v= 100 revolutions per minute.
`= 100/60` revolutions per second.
Therefore,
Time period ` T = 1/v = 60/100 s`
T = 0.6 s
` ( 2pi)/(omega) `
` omega= ( 2 pi)/T = (2xx3.14)/(0.6) ` rad/s
10.466 rad/s