The centripetal acceleration of an object moving uniformly in a circle varies inversely with the radius of the circle. If the object feels acceleration of 20 m/s2 when the radius is 4 m, find the acceleration when the radius is 5 m.

Step-by-step explanation:

the centripetal acceleration is defined by the following formula:

where v is the tangential velocity, and r is the radius.

if we have an acceleration of and a radius of 4m the equation becomes:

and from here we can find the tangential velocity of the object:

we can use this quantity to find the centripetal acceleration when the radius is 5m.

Again using the centripetal acceleration formula:

we substitute and :

the centripetal acceleration is 16

2 x t divided by n

step-by-step explanation: