A belt 24.75 meters long passes around a 1.5cm diameter pulley. As the belt makes two complete revolutions in a minute how many radians does the wheel turn in one second?
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Step-by-step explanation:
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Pulley (wheel) turns
58.3333c in 5 seconds
Explanation:
Belt makes 3 revolutions in a minute.
i.e. 1225cm⋅3
=3675cm
Diameter of Pulley
d=3.5cm
Circumference of pulley
c=2π⋅r
=2⋅(227)⋅
(3.52)
=11cm
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 360degress
=2πc.
9.2803 revolutions of pulley will cover
=9.2803⋅2πc
=58.3333c
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