# Doubt in uniform circular motion

why are we considering speed is constant to find velocity a particle in uniform circular motion, is it possible for a particle in a circular motion to have constant velocity?

ZapperZ
Staff Emeritus
why are we considering speed is constant to find velocity a particle in uniform circular motion, is it possible for a particle in a circular motion to have constant velocity?

That doesn't make much sense, doesn't it?

BY DEFINITION, velocity is a vector, and circular motion involves something moving in a circle, i.e. CHANGING its direction all the time.

Zz.

arildno
Homework Helper
Gold Member
Dearly Missed
The velocity in circular motion is necessarily everchanging, the speed need not be, and might well remain constant.

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STOP SHOUTING !,! Makes my eyes ache. :)
Motion in a helical path might interest you, this could be a combination of circular motion....where you have constant speed but changing velocity because of the changing direction. You could also have the circle moving at constant velocity to trace out the helix. This sort of 'circular' motion is common with electron beams.

by use of natural coordinates, it is very easy to prove that with constant speed and a fixed non-zero acceleration, the particle's motion must be circle. Moreover, if the particle's acceleration is zero, its trajectory is a straight line. I am a college teacher, believe in me.