Calculate Instantaneous Rotational Power
Calculating Instantaneous Rotational Power of a Torque
In this scenario, a torque of 100 N-m is acting on a rotating object. At a specific instant, the object is rotating with an angular velocity of 120 rpm. We need to determine the instantaneous rotational power of the torque at that moment.
Options:
a. 400 watt
b. 12000/π watt
c. 120/π watt
d. 40 watt
What is the correct instantaneous rotational power of the torque?Final answer:
The instantaneous rotational power of a torque can be calculated using the formula P = Tw, where P is the power, T is the torque, and w is the angular velocity. Plugging in the given values, we can calculate that the instantaneous rotational power is 400π watt. Therefore, the correct answer is: (a).
Explanation:
The instantaneous rotational power of a torque at a given instant can be calculated using the formula P = Tw, where P is the power, T is the torque, and w is the angular velocity.
In this case, the torque is given as 100 N-m and the angular velocity is 120 rpm. To convert the angular velocity from rpm to rad/s, we can use the formula w = (2π/60) * angular velocity. Plugging in the values, we get w = (2π/60) * 120 = 4π rad/s.
Now, we can calculate the power using the formula P = Tw = (100 N-m) * (4π rad/s) = 400π watt. So, the correct answer is option a. 400 watt.