Question

What is the angular velocity of the flywheel after it completes 4.00 revolutions, considering the motor's constant torque of 2000 N⋅m, given that the flywheel has a mass of 300 kg and a moment of inertia of 580 kg⋅m²?

A) 180 rad/s
B) 240 rad/s
C) 300 rad/s
D) 360 rad/s

Answer 1

The angular velocity of the flywheel after completing 4 revolutions is approximately 3.45 rad/s.

Step-by-step explanation:

The angular velocity of the flywheel can be determined using the equation:

angular velocity = torque / moment of inertia

In this case, the torque is given as 2000 N⋅m, and the moment of inertia is given as 580 kg⋅m². Substituting these values into the equation:

angular velocity = 2000 N⋅m / 580 kg⋅m² = 3.45 rad/s

Therefore, the angular velocity of the flywheel after it completes 4.00 revolutions is approximately 3.45 rad/s.