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A car is moving in a circular path with ...

A car is moving in a circular path with a uniform speed v. Find the magnitude of change in its velocity when the car rotates through an angle `theta`.

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Change in velocity `vec(DeltaV) =vecv - vecu`
The magnitude of change in velocity
`Deltav = sqrt(v^(2) + u^(2) -2uv cos theta)`
As the speed is uniform `=|vecv| =|vecu| =v`
`therefore Deltav =2v sin (theta/2)`
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