Find the hydrostatic pressure on the bottom of the aquarium in lb/ft^2

In summary, the hydrostatic pressure on the bottom of the aquarium is 312.5 lb/ft^2. This can be calculated by using the weight density of water (62.5 lb/ft^3) and the depth of the aquarium (5ft). The unit of lb/ft^2 already includes the force of gravity, so there is no need to multiply by the acceleration due to gravity (9.8 m/s^2).
  • #1
jorgegalvan93
10
0

Homework Statement



An aquarium 5 ft long, 1 ft wide, and 5 ft deep is full of water. (Recall that the weight density of water is 62.5 lb/ft3.)

(a)Find the hydrostatic pressure on the bottom of the aquarium in lb/ft^2


Homework Equations



hydrostatic pressure = ρgd = δd
ρ = 62.5 lb/ft^3
g = 9.8 m/s^2
d = 5ft

The Attempt at a Solution



The equation is straightforward, but obtaining my answer in the unit asked, that's the problem. How does eliminate s^2?
 
Physics news on Phys.org
  • #2
It says "weight density", and it asks for the answer in units of lb/ft^2, so I would assume all references to lbs here mean "lbs weight", not lbs mass. That means you don't need to multiply by g - it's included in the units.
 

1. What is hydrostatic pressure?

Hydrostatic pressure is the force exerted by a fluid at rest due to the weight of the fluid above it.

2. How is hydrostatic pressure calculated?

Hydrostatic pressure is calculated by multiplying the density of the fluid by the acceleration due to gravity and the depth of the fluid.

3. Why is it important to find the hydrostatic pressure on the bottom of the aquarium?

Knowing the hydrostatic pressure on the bottom of the aquarium is important for determining the stability and strength of the aquarium, as well as for designing appropriate supports and materials for the tank.

4. What units are typically used to measure hydrostatic pressure?

Hydrostatic pressure is typically measured in units of pounds per square foot (lb/ft^2) or pounds per square inch (lb/in^2).

5. What factors can affect the hydrostatic pressure in an aquarium?

The main factors that can affect hydrostatic pressure in an aquarium include the depth and volume of the water, the density of the water, and the strength of the material the aquarium is made of.

Similar threads

  • Calculus and Beyond Homework Help
Replies
3
Views
9K
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Calculus and Beyond Homework Help
Replies
2
Views
24K
  • Calculus and Beyond Homework Help
Replies
1
Views
2K
  • Calculus and Beyond Homework Help
Replies
3
Views
4K
Replies
2
Views
8K
  • Calculus and Beyond Homework Help
Replies
3
Views
2K
  • Calculus and Beyond Homework Help
Replies
1
Views
3K
Replies
1
Views
16K
  • Engineering and Comp Sci Homework Help
Replies
6
Views
14K
Back
Top