Question

Describe uniform circular motion prove that v=re a=v/r

Answer 1

I don't understand this

Answer 2

Answer:

Uniform Circular Motion (UCM) :-

Motion of particle along the circumference of circle with constant speed is called as uniform cirular motion.

Relation between Linear Velocity and Angular Velocity :-

Length (arc) = Ф  radius

ds = dФ × r  (in vector form)

ds/dt= dФ/dt × r

∴v= ω×r

It is vector relation between linear and angular velocity

∫v∫=∫ω×r∫

v = ωr sinФ

∴v=rω   {Ф≈90°}

It is scalar realtion between linear and angular velocity

                                          OR

In case of uniform circular motion, the acceleration is:

ar = v2r = ω2r

If the mass of the particle is m, we can say from second law of motion that:

F = ma

mv2r= mω2r