Q69 Which of torque given below is required to change the angular momentum flywheel from 15kgm_2/s to 150kgm_2/s during a time interval of 5 sec?
Thnx
To determine the torque required to change the angular momentum of the flywheel, we can use the formula:
Torque = (Change in Angular Momentum) / (Change in Time)
Given:
Initial angular momentum (L1) = 15 kgm^2/s
Final angular momentum (L2) = 150 kgm^2/s
Time interval (Δt) = 5 sec
First, let's calculate the change in angular momentum:
Change in Angular Momentum (ΔL) = L2 - L1 = 150 kgm^2/s - 15 kgm^2/s = 135 kgm^2/s
Now, we can calculate the torque using the formula mentioned earlier:
Torque = ΔL / Δt
Substituting the values, we get:
Torque = 135 kgm^2/s / 5 sec = 27 kgm^2/s^2
Therefore, the torque required to change the angular momentum of the flywheel from 15 kgm^2/s to 150 kgm^2/s during a time interval of 5 seconds is 27 kgm^2/s^2.
Ans 27 ha
torque*time=momentum change
torque=135/5=27