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rpms

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Author 
ww

09-04-2007 08:35:34




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if i drive an 18" sprocket with a 3" at 1150 rpms what would be the speed of the driven shaft?




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KEB

09-05-2007 20:35:28




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 Re: rpms in reply to ww, 09-04-2007 08:35:34  
With sprockets, the most accurate method is to count teeth on the two gears, which eliminates any errors associated with depth of the teeth.

In this case, the RPM of the larger sprocket would be the number of teeth on the small sprocket divided by the number of teeth on the large sprocket times the RPM of the small socket.

In a more general sense, (number of teeth on driving sprocket) x (RPM of driving sprocket) = (number of teeth on driven sprocket) x (RPM of driven sprocket), then solve for whatever variable you need. Same relationship applies to gears as well.

Keith

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Gary Schafer

09-05-2007 17:52:57




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 Re: rpms in reply to ww, 09-04-2007 08:35:34  
The easiest way is to find the ratio of the two wheels and divide the rpm by that ratio.

18/3=6
1150/6= 191.66

Regards
Gary



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JoeK(WI)

09-05-2007 15:39:43




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 Re: rpms in reply to ww, 09-04-2007 08:35:34  
Plug in calculator link



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Bob Farrell

09-05-2007 07:16:57




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 Re: rpms in reply to ww, 09-04-2007 08:35:34  
Forgetting the depth of the pulley groves on both the driven and driver pulleys I get about 23 RPM's of the 18".

The cicumference of the 3" pulley is 14.14 inches (2 X pi r squared = 2 X 3.14 X 2.25 = 14.14). For each revolution of the 3" pulley the outer rim travels 14.14". In 1150 RPM's the rim would travel (1150 X 14.14") 16,261 inches.

The circumference of the 18" pulley is 708.68 inches (2 X pi r squared = 2 X 3.14 X 81 = 708.68).

For the 18" pulley outer rim to travel 16,261 inches it would have to rotate 22.95 RPM's. (16,261 devided by 708.68 = 22.95 rev's).

I don't know if the above calculations are the way to do it, but it makes sense to me. Hope this helps. Bob F.

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jml755

09-05-2007 08:28:36




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 Re: rpms in reply to Bob Farrell, 09-05-2007 07:16:57  
Circumference is 2 x pi(3.14...) x R(radius) or pi x D(diameter). pi x (r squared) is the AREA of a circle. Drive to driven is just a ratio of the radii or circumferences. Terry is right.



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Bob Farrell

09-05-2007 08:48:19




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 Re: rpms in reply to jml755, 09-05-2007 08:28:36  
Yep ! I stand corrected. I'm 69 and trying to remember high school math. There is a "little" difference between area and circumference. Thanks. It was a fun exercise anyway. Bob F.



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in-too-deep

09-04-2007 12:07:29




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 Re: rpms in reply to ww, 09-04-2007 08:35:34  
Copy that.



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Terry G

09-04-2007 09:25:32




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 Re: rpms in reply to ww, 09-04-2007 08:35:34  
I get 191.67 rpm.



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flying belgian

09-04-2007 19:56:15




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 Re: rpms in reply to Terry G, 09-04-2007 09:25:32  
What is the calculation used to figure that?



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Terry G

09-05-2007 09:50:08




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 Re: rpms in reply to flying belgian, 09-04-2007 19:56:15  
Drive pulley diameter x rpm divided by driven pulley diameter. 3 x 1150 / 18 = 191.67



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ww

09-04-2007 12:32:43




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 Re: rpms in reply to Terry G, 09-04-2007 09:25:32  
thanks terry if one can't figure it just say in too deep



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