Question

deduce the equation for uniform circular motion of the object with radius r. show that it has unformly accelerated motion​

Answer 1

Answer:

Uniform circular motion means that the magnitude of the velocity will always be constant. But the direction of the velocity will change at a constant rate from every point. It means that the path of the object will form a circle.

Explanation:

Answer 2

Answer:

uniform circular motion is an accelerative motion because in circular motion the velocity of the particle changes at every instance and change in velocity will respect of time is called acceleration hence circular motion is are accelerated motion

Now, Derivation of centripetal acceleration

Force of a moving object can be written

F=m×a....(1)

From diagram given above

PQ + QS = PS− V 1 + V 2

△V= V 2 − V 2

The triangle PQS and AOB are similar hence

AB

△V = rV

AB=arc,AB=V△t

V△t△V = rV

△t△V = rV 2

∴a= rV 2

centripetal acceleration

△t△V = rV 2

⇒a= rV 2