A belt 12.25 meters long passes around a 3.5 cm diameter pulley while belt makes three complete revolutions in a minute. How many radian does the wheel turn in 5 seconds?

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Answer 1 · 2018-02-02T08:42:04

Pulley (wheel) turns #58.3333^c# in 5 seconds

Belt makes 3 revolutions in a minute.

i.e. #1225 cm * 3 = 3675 cm#

Diameter of Pulley #d = 3.5 cm#

Circumference of pulley #c = 2*pi * r = 2 * (22/7) * (3.5 /2) = 11 cm#

No. of revolutions made by the pulley in 3 min = 3675 / 11

No. of revolutions made by pulley in 5 sec #= (3675/11) * (5/180) ~~ 9.2803#

One revolution of pulley will cover #360^0 = 2 pi ^c#

9.2803 revolutions of pulley will cover #= 9.2803 * 2pi^c = 58.3333^c#