An electric motor supplies 200 n·m of torque to a load. what is the mechanical power supplied to the load if the shaft speed is 1000 rpm? express the result in watts and horsepower.

power = 20943.95 watts

power = 28.086 horsepower

Explanation:

given data

torque = 200 N

speed = 1000 rpm

to find out

What is the mechanical power in watts and horse power

solution

we know that mechanical power formula that is

power = torque × speed   ...................1

here we have given both torque and speed

we know speed = 1000 rpm = = 104.66 rad/s

so put here value in equation 1

power = 200 × 104.719

power = 20943.95 watts

and

power =

power = 28.086 horsepower

Part 1) Power required for motor = 20944 watts.

Part 2) Power required for motor in Horsepower equals = 28.075H.P

Explanation:

Power is defined as the rate of consumption of energy. For rotational motion power is calculated as

where,

is the angular speed of the motor.

Since the rotational speed of the motor is given as 1000 rpm, the angular speed is calculated as

where,

'N' is the speed in rpm

Applying the given values we get

hence the power equals

Now since we know that 1 Horse power equals 746 Watts hence 20944 Watts equals

answer: 500 wph.

explanation:

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