A large cylinder (shaped like a tuna can) has top and bottom area A and height...
A large cylinder (shaped like a tuna can) has top and bottom area A and height h, and is made of a uniform material of density ρc. It is floating on a liquid of density ρf . Assume that √ A > h so the cylinder doesn’t tip while the top is facing upwards, and assume that ρc < ρf . (a) What pressure on the bottom of the cylinder would be required to provide enough force to keep the cylinder in equilibrium? (b) How far below the surface of the liquid is that the pressure? (c) What is the distance from the top of the cylinder to the top of the liquid?
Homework Answers
Summary of Answer:-Part(a) is based on the fact that if a body floats in the liquid then its apparent weight is zero or upthrust force acting on it is equal to its weight.
Part(b) uses the Archimedes principle that upthrust force on a body is equal to weight of the liquid displaced by it.
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