I have a steal gear with a radius of 3 inches that ways 3lbs. I am going to apply 1.5 foot pounds (2.04Joules) of torque to the gear for .5 seconds. What formula can I use to figure the RPMs of the gear? Thanks for the help.

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- December 23rd 2005, 05:38 AMGreg ERPM of gear
I have a steal gear with a radius of 3 inches that ways 3lbs. I am going to apply 1.5 foot pounds (2.04Joules) of torque to the gear for .5 seconds. What formula can I use to figure the RPMs of the gear? Thanks for the help.

- December 23rd 2005, 02:06 PMCaptainBlackQuote:

Originally Posted by**Greg E**

,

where we are working with a set of consistent units. Since it is about 40 years since I used Imperial/Customary units I will convert all units to SI. The mass of your grear is , and the radius of the gear is . We will treat the gear as a disk and assume that the moment of inertia we require is that about its axis so:

So assume a constant torque of is applied for then this results in an angular velocity of:

RonL