The number of revolutions of two pulleys is inversely proportional to their diameters. If a 24-inch diameter pulley making 400 r
evolutions per minute is belted to an 8-inch diameter pulley, find the number of revolutions per minute of the smaller pulley.
133 1/3
800
1,200 ...?
2 answers:
The correct answer is 1200.
<h3><u>Answer;</u></h3>
1200
<h3><u>Explanation;</u></h3>
- Since diameter (d) is inversely proportional to the revolutions (n) are
<em>Then; dn=k </em>
We can use the relationship to find the unknown, k:
<em>k = dn </em>
<em>k = (24)(400) = 9600 </em>
Then use k to find the unknown n:
<em>
k= dn </em>
<em>9600 = 8n </em>
<em>n = 1200 </em>
<u>
= 200 rpm</u>
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