Question

Define uniform circular motion.
For uniform circular motion,prove that linear velocity V=rw.

Answer 1

motion of an object in a circle in uniform speed is called uniform circular motion.

You're moving in a circle of radius r, so the distance you travel in one full trip round the circle is 2.pi.r and you're doing it in one time period, T

speed, v = distance/time = 2.pi.r/T

w = angular speed, and you complete 2 pi radians in time T, so w = 2pi/T

so v=rw

I hope it will help you ☺️