Question

A body of mass 10 kg is moving in a circle of radii 1m
with an angular velocity of 2 radii. The centripetal force is...​

Answer 1

Explanation:

• Mass M = 10 kg
• Radius r = 1 m
• angular velocity w = 2 rad/s
• Centripetal force F = ?
• F = m r w²
• F = 10 × 1 × 2
• F = 20 N

Answer 2

Answer:

Centripetal Force = 40 N

Explanation:

Given:

• Mass of body = 10 kg
• Radius of circle = 1 m
• Velocity = 2 radians / second

To find:

Centripetal force = ?

Formula used:

Centripetal force = Mass × (Angular velocity)² × Radius

⇒ F = mω²r

Solution:

Substitute the given values in the formula.

F = mω²r

➝ F = 10 × 2 × 2 × 1

➝ F = 40 Newtons

∴ The centripetal force of the given body is 40N

Know more:

Let us consider the example of revolving a stone tied to a rope.

The force experienced from outside is the centripetal force.

The force experienced inside would be the centrifugal force.

The stone continues rotating until:

Centripetal Force = Centrifugal force