gears/speed: 7-in gear and 10-in gear are on the same shaft

dannah

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Aug 5, 2006
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A 7-inch gear and a 10-inch gear are on the same shaft. The speed of the 10-inch gear is 70 revolution. What is the speed of the 7-inch gear?

I feel like this is a trick question. Can someone help me?
 
Figure it out from this:

GEAR RATIOS
No not "radios," RATIOS! A "ratio" is a comparison. In the case of gears, ( if it has not been made obvious yet ) it is the comparison of TURNS OF INPUT to TURNS OF OUTPUT.
For example, a gear ratio of 5:1 ( an 8 toothed gear turning a 40 toothed gear in LEGO®) means that the input shaft must make five revolutions to produce one revolution of the output shaft. This also means that the output speed is five times slower, but the output torque is five times greater!
 
Re: gears/speed

dannah said:
a 7 inch gear & a 10 inch gear on the same shaft. the speed of the 10 inch is 70 revs. what is the speed of the 7 inch? I feel like this is a trick question - can someone help me?

the speed of the 10 inch gear is 70 revs per what unit of time? ???

nevertheless, the 70 revs per whatever unit time is an angular speed ... since the 7 inch gear is on the same shaft, it experiences the same angular speed, 70 revs per whatever the unit time.
 
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