Power of a Motor: Unleash Your Potential with Science

How can we calculate the power of a motor using force and speed?

Calculate the power of a motor if a load of 20 newton is required to move with speed of 100 rpm, while the arm length is 1 m.

A. 2000 [watt]

B. 2000 [hp]

C. 209 [hp]

D. 0.28 [hp]

Answer:

The power of the motor is approximately 209 Watts. The correct answer is none above all options.

To calculate the power of a motor, we can use the formula: power = force * velocity. In this case, the force required to move the load is 20 Newton. The speed is given as 100 rpm, which we can convert to m/s.

First, we need to convert 100 rpm to m/s by multiplying it by 2π and dividing by 60. This gives us approximately 10.47 m/s. Now we can calculate the power by multiplying the force (20 N) by the velocity (10.47 m/s).

The power of the motor is approximately 209 Watts.