How Do You Calculate the Force Exerted by Water in a Tank?

[lostinphysics44]

Homework Statement

An aquarium tank is 100 cm long, 35 cm wide, and 40 cm deep. It is filled to the top.
What is the force of the water on the bottom (100cmX35cm) of the tank?
What is the force of the water on the front window (100x40) of the tank?

Homework Equations

this where i am unsure is it just f=mg? or F=pA. how do i get p?

The Attempt at a Solution

tried the equations above and got nowhere. also tried to solve using the density of water to find the mass but got nowhere so please advise thanks.

 

[Astronuc]

how do i get p?

One needs to find the static head, P_h, which is given by

P_h = $\rho$ gh, where $\rho$ is the fluid density, g is the acceleration of gravity, and h is the height of the fluid.

http://hyperphysics.phy-astr.gsu.edu/hbase/pflu.html#fp

 

[m2003]

I would approach this problem by first identifying the relevant physical principles that apply to the situation. In this case, we are dealing with the concept of pressure, which is defined as the force per unit area. The equation for pressure is P = F/A, where P is pressure, F is force, and A is area.

To determine the force exerted by the water on the bottom of the tank, we need to calculate the pressure at the bottom and then multiply it by the area of the bottom. The pressure at the bottom of the tank is equal to the weight of the water above it divided by the area of the bottom. This can be calculated using the equation P = ρgh, where ρ is the density of water, g is the acceleration due to gravity, and h is the height of the water above the bottom of the tank.

To find the weight of the water, we need to calculate its mass first. The mass of the water can be found by multiplying its density by its volume. In this case, the volume of water is equal to the volume of the tank, which is 100 cm x 35 cm x 40 cm. Once we have the mass, we can multiply it by the acceleration due to gravity to find the weight of the water.

Once we have the weight, we can plug it into the equation for pressure to find the pressure at the bottom of the tank. Then, we can multiply the pressure by the area of the bottom (100 cm x 35 cm) to find the force exerted by the water.

To find the force exerted by the water on the front window, we can use a similar approach. We first need to calculate the pressure at the front window, which is equal to the weight of the water above it divided by the area of the window (100 cm x 40 cm). We can use the same equation for pressure, but this time, the height of the water is equal to the depth of the tank (40 cm). Once we have the pressure, we can multiply it by the area of the front window to find the force exerted by the water.

In summary, the force exerted by the water on the bottom of the tank can be calculated using the equation F = P x A, where P is the pressure at the bottom and A is the area of the bottom. Similarly, the force exerted by the water on the front window can be calculated using the