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Question

The relation between the linear velocity and angular velocity is

A
¯ω=¯rׯv
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B
¯v=¯rׯω
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C
¯v=¯ωׯr
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D
¯ω=¯vׯr
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Solution

The correct option is B ¯v=¯ωׯr
During a circular motion we have the δθ×r
Dividing by δt we get
δsδt=δθδt×r
in the derivative form we get this relation as
dsdt=dθdt×r
or
v=ω×r

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