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I have a motor whose specifications say that its torque is 190g*cm. If I have the formula for the mass of the wheel vs radius, is there any way I can find the radius to get the best linear speed?

The formula that relates mass and radius is

$m=1.14r-0.948$

where the m is mass in grams and r is radius in cm

electricviolin
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  • Minimizing your wheel diameter will maximize your linear speed. Your comment from [link](http://engineering.stackexchange.com/questions/4186/how-to-calculate-if-a-motor-is-capable-for-a-load) _italic_ **bold** `code` this page concerns me about the motor getting hot. Are you sure you're using a 12V, 400 mA power supply for the motor. Too many amps can fry the motor. It sounds like your constraint for max launch speed of the ping pong ball is a wheel large enough to launch the ball. – morristtu Nov 04 '15 at 00:50
  • You cannot determine a speed from the parameters that you have given. At the very least, you will need to know the motor speed (rpm) for various torques. – hazzey Nov 04 '15 at 02:16
  • That is why I am changing the mass of the wheel - to try to make the motor work for setup. The only data point I have is 15200 rpm at 190g*cm. See [link](http://comingsoon.radioshack.com/radioshack-super-speed-9-18vdc-hobby-motor/2730256.html#.VYsQHflViko) – electricviolin Nov 04 '15 at 03:22

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