How to Calculate Output Power and Force Exerted by an Electric Motor
What are the steps to calculate the output power of an electric motor and the force exerted on an object attached to it?
To calculate the output power of an electric motor, you need to know the power supplied to the motor and its efficiency. The output power of the motor can be calculated using the formula: Output Power = Supplied Power x Efficiency For example, if a motor is supplied with a constant power of 1.5 hp and operates with an efficiency of η=0.8, the output power can be calculated by multiplying the supplied power by the efficiency: Output Power = 1.5 hp x 0.8 = 1.2 hp To convert the output power from horsepower (hp) to watts (W), you can use the conversion factor 1 hp = 746 watts: Output Power (in watts) = Output Power (in hp) x 746 Once you have calculated the output power of the motor, you can determine the force exerted by the motor on an object attached to it. The force exerted by the motor can be calculated using the formula: Force = Weight x Acceleration If the motor is lifting or moving an object vertically, the acceleration is equal to the acceleration due to gravity, which is approximately 9.8 m/s^2. By knowing the weight of the object, you can calculate the force exerted by the motor. In the example given, the output power of the motor was found to be 1.2 hp, and the force exerted by the motor on a steel block weighing 200 lbs was calculated to be 1960 N.