Question

define circular motion?also derive expression for it

Answer 1

HERE IS YOURS ANSWER;

◆ Circular Motion is the movement of an object or a body along the circumference of a circular Path.

◆ It always have Constant Speed & Velocity.

● Derivation ●

Now, Consider the distance traveled by the body over a small time increment Δt :

We can calculate the arc length s as both the distance traveled (distance = rate * time = v Δt) and using the definition of a radian (arc = radius * angle in radians = r Δθ:)

S = V∆t

S = r∆θ

r∆θ = v∆t

∆θ/∆t =v/r

dθ/dt = v/r


So, now The angular velocity of the object is thus v / r (in radians per unit of time.)


HOPE IT HELPS

Answer 2

object in uniform circular motion have a constant speed but a changing velocity because velocity have a direction and the direction of an object in circular motion is always changing