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Buoyancy and Terminal Velocity

Archimedes principal of buoancy states that an object submerged in a fluid is buoyed up by a force equal to the weight of the fluid the object displaces.

A rectangular box 1foot X 2 feet X 3 feet and weighing 384 lbs. is dropped into a 100 foot deep freshwater lake (density 62.4 lbs/cubic foot). The box immediately begins to sink. The drag due to the water is 1/2 the velocity.

Calculate the following:
a) the terminal velocity

b) the velocity when the box reaches the bottom

Solution Preview

The terminal velocity is reached when the total force acting on the box is zero, the acceleration becomes zero and the box ...

Solution Summary

Terminal velocity of a sinking box is calculated.

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