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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(Delta v) = vec(v) - vec(u)`
The magnitude of change in velocity
`Delta v = sqrt(v^(2) + u^(2) - 2uv cos theta)`
`therefore Delta v = 2v sin ((theta)/(2))`.
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