Aphysics 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

(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

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