If a body moving in a circular path maintains constant speed of 10 ms-1, then which of the following correctly describes relation between acceleration and radius ?

  • Option 1)

  • Option 2)

  • Option 3)

  • Option 4)

 

Answers (1)

As we learnt in

Centripetal acceleration -

When a body is moving in a uniform circular motion, a force is responsible to change direction of its velocity.This force acts towards the centre of circle and is called centripetal force.Acceleration produced by this force is centripetal acceleration.

a= \frac{v^{2}}{r}

- wherein

Figure Shows Centripetal acceleration

 

 a=\frac{v^2}{r}   \because \left | \vec{v} \right |= constant

a\propto \frac{1}{r} or ar = constant


Option 1)

Incorrect

Option 2)

Incorrect

Option 3)

Correct

Option 4)

Incorrect

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