Question
Derive the relation ω = ω0 + at for uniform angular accelerated motion.
Solution
Let a particle revolve in a circular orbit with constant angular velocity
.
Let the particle start from ω0 and start accelerating with angular acceleration
.
Let
be the angular velocity at any instant.
We know,
Hence, the result.

Let the particle start from ω0 and start accelerating with angular acceleration

Let

We know,

Hence, the result.