A) You are asked to make a cylinder using 1.0 m3 of concrete that weighs 5.0 x 1

Question

A) You are asked to make a cylinder using 1.0 m3 of concrete that weighs 5.0 x 104 N. If concrete can withstand a maximum pressure of 1.7 !107 Pa , what is the largest possible height for the concrete cylinder so it does not collapse under its own weight?

B) Now you wish to replace the aluminum cube from problem 1 with anotheraluminum cube. But this time you attach the aluminum cube to the bottom of thewood cube. You find that both cubes are completely submerged with the top ofthe wood block at the surface. What is the length of one side of the aluminumcube? What is the buoyant force on each block?

Explanation / Answer

A)

V = volume = 1 m3

p = density

weight = mg = 50000 N

pressure is given as

P = p gh

1.7 x 107 = pg h

1.7 x 107 = mg h/V

1.7 x 107 = mg h/V

1.7 x 107 = (50000) h/1

h = 340 m

b)

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