Work done by motor with pulley wheel on spindle.

AI Thread Summary
To calculate the work done by an electric motor with a pulley wheel but no load, it's essential to understand that the motor performs no useful work unless it is overcoming friction or other resistances. When the motor is in steady state at constant speed, it does not do work on an external load. However, during startup, the motor does work to accelerate its internal components, including the rotor and pulley. The acceleration can be determined based on the motor's specifications and the moment of inertia of the components. Clarifying whether the motor is running in steady state or starting up is crucial for accurate calculations.
cayongrayoo
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I need to calculate the work done by an electric motor when it has a pulley wheel on the end but nothing on the pulley wheel. I know work done = force x distance. And of course force = mass x acceleration. But I cannot for the life of me think of how I am going to work out the acceleration? or the distance. Normally the distance is the distance of the object being pulled by the motor..but my motor isn't pulling anything over a distance.

How do i get the acceleration for F and how do i get the distance?
Thanks
 
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If there is a pulley on the motor, but no belt on the pulley, the motor is doing no useful work at all. The only work being done by the motor is overcoming internal friction in its own bearings, windage on the rotor, the pulley, etc.

Now all of those statements in the previous paragraph assume that the motor is running in steady state, that is, at constant speed. If the motor is starting up, this is not true. The motor is doing work to accelerate the rotor (internal mass) and the pulley (external mass) and the shaft (partly internal, partly external mass). During start up, there is a definite acceleration involved, but this goes to zero after the steady state is reached.

So, the question is, what case do you have?
 
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