Question

if a particle moves with uniform speed along a circular path, then which of the following is true for that particle. a)-It has normal acceleration only b)-It has tangential acceleration only. c)-It has both tangential and normal acceleration. d)-It has no acceleration.

Answer 1

a)-It has normal acceleration only

Step-by-step explanation:

When a particle moves in a curved path with uniform velocity:

-The magnitude of the speed remains constant

-The speed direction varies.

Tangential acceleration :Is defined as the change in magnitude of the tangential velocity with respect to time.

For this case, as the magnitude of the velocity is constant then the tangential acceleration does not exist.

Normal or centripetal acceleration: occurs due to the change of direction of the tangential velocity , For this case, as the direction of the velocity is varying then the normal acceleration exist, and is calculated as follows:

`a_(n) =(v^(2) )/(r)`

`a_(n) : normal acceleration`

`v=tangential velocity`

r= radius of the circular path