A physics student swings a pail of water in a vertical circle 1.0 m in radius at a constant speed. If the water is NOT to spill on him/her: (A) calculate the minimum speed of the pail of water (B) calculate the maximum time per revolution (period) of the swing

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Physics

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1 March, 20:45

A physics student swings a pail of water in a vertical circle 1.0 m in radius at a constant speed. If the water is NOT to spill on him/her: (A) calculate the minimum speed of the pail of water (B) calculate the maximum time per revolution (period) of the swing

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Daniella · Answer 1

(A) 3.1 m/s

(B) 2.0 s

Explanation:

At the minimum speed, the force of gravity equals the centripetal force.

mg = m v² / r

v = √ (gr)

v = √ (9.8 m/s² * 1.0 m)

v = 3.1 m/s

The time is the circumference divided by the speed.

t = (2π * 1.0 m) / (3.1 m/s)

t = 2.0 s