SOLUTION:
A pulley with a radius of 10 inches uses a belt to drive a pulley with a radius of 6 inches. Find the angle through which the smaller pulley turns as the 10 inch pulley makes 1 r
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Question 501463:
A pulley with a radius of 10 inches uses a belt to drive a pulley with a radius of 6 inches. Find the angle through which the smaller pulley turns as the 10 inch pulley makes 1 revolution.State your answer in both radians and also in degrees.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A pulley with a radius of 10 inches uses a belt to drive a pulley with a radius of 6 inches. Find the angle through which the smaller pulley turns as the 10 inch pulley makes 1 revolution.State your answer in both radians and also in degrees.
**
circumference of 10 in pulley=2πr=2π10=20π in
circumference of 6 in pulley=2πr=2π6=12π in
When the 10 in pulley makes one revolution the belt travels 20π inches
For each 12π inches the belt travels, the 6 in pulley makes one revolution
Therefore, for a belt travel of 20π in, the 6 in pulley makes
20π/6π or 3-1/3 rev=1200º=6-2/3π radians
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