Purchase Solution

Archimede's principle, buoyancy and pressure

Not what you're looking for?

Ask Custom Question

A hollow metal cube made of aluminum has an outer-length of 12cm and an inner length of 8cm (each "side" of the outside of the cube is 12cm long, each "side" of the inside of the cube is 8cm long). The density of Al is 2,700 kg per cubic meter. The density of water is 1,000 kg per cubic meter.

If this empty, sealed cube is submerged under water, what is the buoyant force on the cube?

Explain and prove with calculations why this cube sinks or why this cube floats in water.

If this cube is filled with gold and thrown overboard in the Atlantic Ocean and it sinks to a depth of 160 meters, what gauge pressure would a diver have to withstand to recover the gold? Give your answer in multiples of the atmospheric pressure.

Purchase this Solution

Solution Summary

This solution is provided in 576 words. It provides step-by-step solutions to each problem to calculate the buoyancy force and pressure.

Solution Preview

known constants: Density of water DH20 = 1000 kg/m^3
Density of aluminum Dal = 2700 kg/m^3
Density of sea water Dsea = 1025 kg/m^3
Volume of whole cube Vcube = (.12 m)^3
Volume of inner space Vspace = (.08 m)^3
g = 9.8 m/sec^2 = 9.8 nt/kg
pressure: Po = 1 atm = 101000 nt/m^2
Part 1.
Step 1. In general, ...

Purchase this Solution

Free BrainMass Quizzes
Basic Physics

This quiz will test your knowledge about basic Physics.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

The Moon

Test your knowledge of moon phases and movement.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.