Question

Define centripetal acceleration and derive its expression???

Answer 1

Derive an expression for thecentripetal a. ... Derive an expressionfor the centripetal acceleration of a particle moving with uniform speed 'v' along a circular path of radius 'r'.

Answer 2

If a partical moves in circle of radius r with a constant speed v , its acceleration is v^2/r directed towards the centre is called centripetal acceleration. sin∆¢/2=∆v/2 ∆v=2v sin∆¢/2 ∆v/∆¢ =2v sin∆¢/2/∆¢ , ∆v/∆¢=v sin∆¢/2/∆¢/2 , dv/d¢= v sin∆¢/2/∆¢/2 v (cos∆¢/2)1/2/1/2 = v dv/dt = dv/d¢×d¢/dt =v×v/r= v^2/r