Define linear velocity and angular velocity of a body revolving in a uniform circular motion and derive relations between them?
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The rate of change of linear displacement is known as linear velocity. It is denoted by “V”. its units are ms-1.
V = d/t
The rate of change of angular displacement is known as angular velocity. It is denoted by “ω”. its units are rads-1.
ω = θ/t
Relation between linear velocity and angular velocity:
We know that:
θ = Arc/radius = s/r
As,
ω = θ/t = s/rt
ω = v/r
v=rω
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