(adsbygoogle = window.adsbygoogle || []).push({}); Compound gear train problem (WHY IS IT SO HARD!!!!!)

1. The problem statement, all variables and given/known data

I need to calculate the angular acceleration of the fan at 2600 RPM (motor speed) depicted by figure 4.

2. Relevant equations

Sum(torques with respect to input) = (torque applied by motor)-(torque load from output shaft with respect to gear ratios)

THEN

Sum(torques with respect to input) =( sum of intertia's with respect to input and gear ratio's) x (angular acceleration of input shaft)

3. The attempt at a solution

Now my problem is that there are no moments of inertia given for the gears in the system. I'm assuming the torque load on the output shaft caused by the fan is a form of torque lost due to air resistance of the fan. Thus the faster the fan the higher the torque lost.

Basic formulation I'm using is:

Sum(torques with respect to input) = (torque applied by motor)-(torque load from output shaft with respect to gear ratios)

THEN

Sum(torques with respect to input) =( sum of intertia's with respect to input and gear ratio's) x (angular acceleration of input shaft)

Then I can use the (angular acceleration of input shaft) to find the angular acceleration of the output shaft using gear ratios.

My main problem is that I dont have all the intertia's of the gear system! So do I simply ignore the other moment of inertia's or is there a correct way of calculating them!!!

A little advice / help please!!!

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# Compound gear train problem (WHY IS IT SO HARD )

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