Question

An object of mass 50 g moves uniformly along a circular orbit with an
angular speed 5rad/s. If the linear speed of the object is 25m/s. Calculate
the centripetal force action on it.​

Answer 1

Answer:

An object of mass 50 g moves uniformly along a circular orbit with an angular speed of 5 rad/s.

If the linear speed of the particle is 25 m/s, what is the radius of the circle?

Calculate the centripetal force acting on the particle.

Answer 2

Answer:

6.25 N

Explanation:

Given :

Mass of object = 50 g = 0.05 kg

Angular velocity ω = 5 rad / sec

Linear speed v = 25 m / sec

We know :

v = r ω

r = v / ω

r = 25 / 5 m

r = 5 m

Now :

Centripetal Force F = m v² / r

F = 0.05 × 25² / 5

F = 0.05 × 25 × 5 N

F = 6.25 N .

Therefore , centripetal force is 6.25 N