Question

A body in uniform circular motion with half of time period equal to T has a speed? (R is radius of circle)

Answer 1

A body moves in uniform circular motion.

time period of body = T

we know, time period is the time taken to complete one revolution.

so, distance covered during time period = circumference of circular path

= 2πR

so, in half of time period, distance covered by body = 2πR/2 = πR

now, speed of body = distance/time taken

= πR/(T/2) = 2πR/T.

hence, speed of body doesn't change in uniform circular motion