Question

A mass of 0.8kg at the end of a rope 0.5m long is whirled round in a horizontal circle at an angular speed 10rad/s. Calculate the angular momentum about the centre of the whirled

Answer 1

Given:

Mass, m = 0.8 kg

Length of rope, r = 0.5 m

Angular speed of rope, ω = 10 rad/s

To Find:

The angular momentum about the centre.

Calculation:

- Linear Velocity is calculated as:

v = r × ω

⇒ v = 0.5 × 10 = 5

- Angular momentum is given by the formula:

L = m × v × r

⇒ L = 0.8 × 5 × 0.5

⇒ L = 2 kg m² / s

- So, the angular momentum about the centre of the whirled round is 2 kg m² / s.