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On a piece of machinery, the centers of two pulleys are 3 feet apart, and the radius of each pulley is 6 inches. Determine the size of belt (in feet) is required to wrap around both pulleys?
a. (6 + .5π) ft
b. (6 + .25π) ft
c. (6 + 12π) ft
d. (6 + π) ft
d. To answer for the length of the belt, begin with the distance from the center of each pulley, 3 ft, and multiply by 2; (3)(2) or 6 ft. Secondly, you require to know that the distance of two semicircles with the equal radius is equivalent to the circumference of one circle. Thus C = πd or (12π) inches. Since the units are in feet, and not inches, convert (12π) inches to feet or (1π)ft. Now include these two values together, (6 + 1π)ft, to evalute the length of the belt around the pulleys. If you select a or b, you used an incorrect formula for circumference of a circle. Recall: Circumference = πd. If you select c, you forgot to convert the unit from inches to feet.
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