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# What is the formula of rotational motion?

If a body executes rotational motion, the equations of motions are written as

ω = ω0 + αt

θ = ω0t + (½)αt2

ω2 – ω02 = 2αt

Here,

ω = final angular velocity (rads-1)

ω0 = initial angular velocity (rads-1)

Torque in rotational motion = force x perpendicular distance from the axis of rotation

τ=Fd

τ=Fr Sin θ

Power of the torque = torque x angular velocity

P = τω

Work done by the torque = torque x angular displacement

W = τθ

Angular momentum = linear momentum x perpendicular distance from the axis of rotation

L=pd

L = rpSin θ