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how to write relation between linear velocity and angular velocity
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how to write relation between linear velocity and angular velocity Rel...
Consider a particle is moving point A to point B on the circumference of circle in a time (t) describing an angular displacement angle ∆AOB =theta
linear velocity = Arc length AB ÷Time
V= AB÷t(1) equation
Ac length S=r× theta
AB=r × theata (2) equation

substitute equation (2) in (1) . we get
V=r× theata ÷t =r (theata/t)
V= r( theata/t) [where theata/t=w]
then the above equation becomes
V = rw

angular acelaration( r)
rate of Change of angular velocity is called angular acelaration

alpa = dw÷dt
= W÷ t
= rad / s


linear acelaration . a= v÷ t
a= rw÷ t

a= r(w/t). [where alpa = w÷ t ]
a= r× alpa
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how to write relation between linear velocity and angular velocity Related: Rotational Motion?
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