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26 February, 22:02

two pulleys one with adius 2 inches and the other with radius 8 inches are connected by a belt. If the 2 inch pulley is caused to rotate at 3 revolutions per minuite detirmine te revolutions per minute of the 8 inch pulley

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  1. 26 February, 22:32
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    we know that,

    linear speed = circumference * revolution per minute

    linear speed of belt = 2πr * revolution per minute

    now we will compute the linear speed of a belt for 2 inch pulley that is,

    linear speed for 2 inch pulley = (2π*2) * (3 revolutions per minute) ∵ r = 2

    = 4π * 3 revolution per minute (1)

    again we will compute the linear speed of a belt for 8 inch pulley,

    linear speed of 8 inch pulley = (2π*8) * (x revolution per minute) ∵ r = 8

    = 16π*x revolutions per minute (2)

    As the linear speed is same for both pulleys. by comparing equations (1) and (2).

    4π*3 = 16π*x

    x = 3/4

    Thus, the revolutions per minute for the 8 inch pulley is 3/4.
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