SOLUTION: the speed,v, of a gear varies inversely as the number of teeth,t. if a gear that has 36 teeth makes 30 revolutions per minute, how many revolutions per minute will a gear that has

Question 65442: the speed,v, of a gear varies inversely as the number of teeth,t. if a gear that has 36 teeth makes 30 revolutions per minute, how many revolutions per minute will a gear that has 54 teeth make?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the speed,v, of a gear varies inversely as the number of teeth,t. if a gear that has 36 teeth makes 30 revolutions per minute, how many revolutions per minute will a gear that has 54 teeth make?
=========
v=k/t
Need to find "k".
If teeth=36, v=30 revolutions per minute,
30=k/36
k=15/18
EQUATION:
v=15/(18t)
If a gear has 54 teeth,
v=15(18*54)
v=0.01543... revolutions/minute
Cheers,
Stan H.
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