Question

Object of mass 50gm moves uniformly along circular orbit with an angular speed of 7 rad/s . If linear speed of particle is 20 m/s.what is the radius of circle? Calculate the centripetal acceleration and centripetal force acting on it

Answer 1

Given :-

Mass of object = 50 g = 50/1000 Kg = 0.05 Kg

Angular Speed = w = 7 rads-¹

Linear speed = 20 ms-¹

We are asked to find :-

1. Radius of Circle.

2. Centripetal Acceleration.

3. Centripetal Force.

For radius, we know a relation.

v = wr (r = radius of Circle).

20 = 7 × r

r = 20/7 m

For Centripetal Acceleration.

a = v²/r

a = w²r²/r

a = w²r

a = 7 × 7 × 20/7

a = 140 ms-²

For Centripetal Force,

F = ma

F = 0.05 × 140

F = 7 N.

Hence,

Radius of Circle = r = 20/7 m

Centripetal Acceleration = a = 140 ms-²

Centripetal Force = F = 7 N

Answer......