- #1

- 5

- 0

1. A solid cylinder (radius = 0.150 m, height = 0.120 m) has a mass of 7.00 kg. This cylinder is floating in water. Then oil (rho = 725 kg/m^3) is poured on top of the water. How much of the height of the cylinder is in the oil?

I believe this problem involves Archimedes' Principle, which states that the magnitude of the buoyant force (F_b_) equals the weight of displaced fluid(W _fluid_).

F_b_ = P2*A - P1*A = rho*g*h*A

A = (pi*r^2)*h = 0.00848 m^3

rho for water = 1000 kg/m^3

Thats about as far as I can go... I don't know how to determine the height of the cylinder that is in the oil.

F_b_ = P2*A - P1*A = rho*g*h*A

A = (pi*r^2)*h = 0.00848 m^3

rho for water = 1000 kg/m^3

Thats about as far as I can go... I don't know how to determine the height of the cylinder that is in the oil.

2. A pump and its horizontal intake pipe are located 12 m beneath the surface of a reservoir. The speed of the water in the intake pipe causes the pressure there to decrease, in accord with Bernoulli's principle. Assuming nonviscous flow, what is the maximum speed with which water can flow through the intake pipe?

Bernoulli's equation is....

P1 + 1/2*rho*v1^2 + rho*g*y1 = P2 + 1/2*rho*v2^2 + rho*g*y2

I think y1 = 0 m and y2 = 12 m. Then I am trying to solve for v1. I know that rho = 1000 kg/m^3, and g = 9.8 m/s^2. I'm not exactly sure what a reservoir is... but I think the water does not move, so you can assume v2= 0 m? But then I don't know P2 or P1....so how am I suppose to solve for this?

P1 + 1/2*rho*v1^2 + rho*g*y1 = P2 + 1/2*rho*v2^2 + rho*g*y2

I think y1 = 0 m and y2 = 12 m. Then I am trying to solve for v1. I know that rho = 1000 kg/m^3, and g = 9.8 m/s^2. I'm not exactly sure what a reservoir is... but I think the water does not move, so you can assume v2= 0 m? But then I don't know P2 or P1....so how am I suppose to solve for this?