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Q.

What is the relation between linear velocity(v) and angular velocity(ω)?


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a

v=rω 

b

ω=vr 

c

r=vω 

d

v2=rω 

answer is A.

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Detailed Solution

The relation between linear velocity and angular velocity is v=rω.
For a particle moving along a circular path. Then its velocity is given by
v =2πrt
Its angular velocity
ω =θt
⇒ ω =2πt
⇒  θ=2π  (In Radian)
 for a circle,
Then
v = 2πtr
⇒ v = ωr 
 
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