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Question
A circular wheel 28 inches in diameter rotates the same number of inches per second as a circular wheel 35 inches in diameter. If the smaller wheel makes x revolutions per second, how many revolutions per minutes does the larger wheel make in terms of x?
12x
24x
36x
48x
ANSWER : 4
Descrption
<p>For smaller wheel,</p> <p>Circumference = 2×π×28/2 = 28π</p> <p>Revolve in 1 second = x times</p> <p>Revolve in 60 seconds = 60x times</p> <p>So, distance = 28π×60x</p> <p>For larger wheel,</p> <p>Circumference = 2×π×35/2 = 35π</p> <p>Let,</p> <p>Revolve per minute = n</p> <p>So, distance = 35πn</p> <p>Now,</p> <p>28π×60x = 35πn</p> <p>Or, n = (28π × 60x)/35π</p> <p>Or, n = 48x</p>
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