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28-12-2021
Mathematics

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a large pulley with diameter 16 inches is connected by a belt to a smaller pulley with radius 5 inches. if the large pulley is rotating at 18 rpm, find the angular speed in rpm for the small pulley

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sqdancefan sqdancefan

28-12-2021

Answer:

28.8 rpm

Step-by-step explanation:

The belt connection ensures that the linear speed of the edge of the pulleys will be the same. That means the rotation rate is inversely proportional to the pulley diameter. The radius of the smaller pulley is 5 inches, so its diameter is 10 inches.

The rotation rate of the smaller pulley will be ...

(16/10)(18 rpm) = 28.8 rpm

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