Posted by Derek MN on January 09, 2009 at 07:27:04 from (206.8.170.1):
In Reply to: math question posted by Ralph 1111 on January 08, 2009 at 21:06:52:
I went through the same exercise trying to get my C with woods mower to move faster in 2nd gear. I used the titan tire size chart to make my diameter assumptions. Most of the 9.5x24 titan tires are about 41" inches in diameter. (Yours might be less which would help things).
Here's the math... The basic formula here is speed/circumference=Revolutions per time unit The only tricky part is keeping your units of measure the same. Since we know that your speed is 7mph and your tire is approx. 41", we can calculate your wheel RPS (Revolitions per Second), 0.96 Rev/S. Knowing this, we can rearrange the formula to speed/revolutions=circumference. We now know you want 12mph and your tractor wheels are rotating at 0.96 Rev/S in that gear and throttle speed. So, doing the math you'll need a tire with a diameter of 70.3 inches to go 12mph. This would be a tall and wide 38" tire. Way too big for your tractor. Here's some examples using the Titan Sizes 11.2x28 = 8.1 MPH 11.2x34 = 9.1 MPH 11.2x36 = 9.5 MPH 11.2x38 = 9.8 MPH 18.4x38 = 11.9 MPH
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