Question

calculate angular momentum of a fan having moment of inertia 3 kg metre square and moving with an angular speed of 10 radian per second what is the change in angular momentum of fan if torque of 20 newton

Answer 1

The final angular momentum of the fan is 50 kg m²/s.

How to find angular momentum?

To calculate the angular momentum and its change due to the torque, follow these steps:

Calculate the initial angular momentum (
`L_i`):

`L_i = I * \omega`

where:

I = moment of inertia

= 3 kg m²

ω = angular speed

= 10 rad/s

`L_i` = 3 kg m² × 10 rad/s

= 30 kg m²/s

Calculate the change in angular momentum (ΔL):

ΔL = τ × Δt

where:

τ = torque = 20 N m

Δt = time interval (assumed to be 1 second for simplicity)

ΔL = 20 N m × 1 s

= 20 kg m²/s

Calculate the final angular momentum (
`L_f`):

`L_f = L_i + \Delta L`

`L_f` = 30 kg m²/s + 20 kg m²/s

= 50 kg m²/s

Therefore, the initial angular momentum of the fan is 30 kg m²/s, and the change in angular momentum due to the torque is 20 kg m²/s. This means the final angular momentum of the fan is 50 kg m²/s.