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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`.

Text Solution

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Change in velocity `vec(Deltav) = vecv -vecu`
The magnitude of change in velocity
`Deltav = sqrt(v^(2)+u^(2)-2uvcostheta)`
As the speed is uniform `= |vecv| = |vecu| = v`
`:. Deltav = 2vsin((theta)/(2))`.
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