A constant torque of 260 N∙m acts on a flywheel.If the flywheel makes 25 complete revolutions in 2 minutes, what is the power exerted by the torque? A)54 W B)200 W C)340 W D)3.3 x 10³ W E)2.0 x 10⁴ W

Question

Quizplus · Accepted Answer

We can use the formula for power:

power = (torque x angular velocity)

The angular velocity is given by the number of complete revolutions per unit time, so we need to convert this to radians per second:

angular velocity = (2π x number of revolutions) ÷ (time in seconds)
angular velocity = (2π x 25) ÷ (2 x 60)
angular velocity = 1.308 rad/s

Now we can calculate the power:

power = (torque x angular velocity)
power = (260 N∙m x 1.308 rad/s)
power = 340 W

Therefore, the answer is C.

A Constant Torque of 260 N∙m Acts on a Flywheel