A pulley of radius 0.9 m is used to lift a bucket from the well. If it took 3.6
rotations for the pulley to take water out of the well, how deep is water in the
well?
Please! I want authentic answer. In numerical form, basically it is numerical of physics. Give explanation too but numerically.
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Given: A pulley of radius 0.9 m is used to lift a bucket from the well. If it took 3.6 rotations for the pulley to take water out of the well.
To find: Depth of the well
Solution: Let the radius be r and number of rotations be n.
r= 0.9 m
Circumference of the pulley is equal to the distance covered in 1 rotation of the pulley.
Circumference of the pulley is given by the formula
= 2 π r
= 2 × 3.14 × 0.9
= 5.65 m
Distance covered in 3.6 rotations of the pulley
= Depth of the well
= 3.6 × Circumference of pulley
= 3.6 × 5.65
= 20.34 m
Therefore, the depth of the well is 20.34 m.
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