How Do You Calculate the Total Force on the Hoover Dam?

  • Thread starter pete22
  • Start date
  • Tags
    Physics
In summary, to find out the force on the Hoover Dam, you will need to use Pascall's principle and the equation P = P_0 + \rho gh, where P_0 is the atmospheric pressure and \rho is the density of water. Once you find the pressure, you can use the equation P = F/A to solve for the force, taking into account the area of water in contact with the dam. You will also need to find the weight of the dam itself using the formula w=mg. By adding these values together, you can determine the total force on the dam.
  • #1
pete22
1
0
i have a problem where i have to find out how mych force the hoover dam has on it. i have to take into account the force the water is putting on the dam and the gravitational force that is being created by the actual wall taking into account the mass of the wall. help i don't know where to start.
 
Physics news on Phys.org
  • #2
have you done fluid mechanics yet?

Regards,

Nenad
 
  • #3
Use Pascall's principle and the fact that p =p_0 + g*h*j where p_0 is the atmospheric pressure and j is the mass-density of water.

regards
marlon
 
  • #4
Like marlon said, use the equation:
[tex]P=P_0 + \rho gh[/tex]
where: [tex]\rho[/tex] = density of water [tex]= 1.00x10^3 kg/m^3[/tex]
and [tex]P_0[/tex] = [tex]1.01x10^15 Pa[/tex]

When you find [tex]P[/tex], then you use the equation for [tex]P[/tex] (pressure): [tex]P = F/A[/tex] to solve for [tex]F[/tex]
([tex]A[/tex] = the area of water in contact with the dam.)

Once you have this, you have the Force that the water exerts on the dam (make sure you find both Force vectors. One side will have a large vector, where the other side, while still having a vector, will be very small)

Your next step will be finding the weight of the dam itself. Use the formula
[tex]w=mg[/tex] where [tex]w[/tex] is weight.

Add these up and "Eureka! You've found it!"
(Pardon the pun) :smile:
Paden Roder
 

FAQ: How Do You Calculate the Total Force on the Hoover Dam?

What is the purpose of the Hoover Dam?

The Hoover Dam was built primarily for flood control and water management for the surrounding areas. It also serves as a source of hydroelectric power.

How does the Hoover Dam generate electricity?

The Hoover Dam uses the force of water to turn turbines, which in turn spin generators to produce electricity. The water is released from the dam at high speeds, creating kinetic energy that is converted into electrical energy.

How was the Hoover Dam constructed?

The Hoover Dam was constructed using a combination of traditional and innovative techniques. It involved building a concrete arch-gravity dam, which required diverting the Colorado River, excavating the canyon walls, and pouring concrete into large blocks.

What is the height and length of the Hoover Dam?

The Hoover Dam stands at 726 feet tall and is 1,244 feet long. It is also 660 feet thick at its base and 45 feet thick at the top.

How has the Hoover Dam impacted the environment?

The Hoover Dam has had both positive and negative impacts on the environment. On the positive side, it provides renewable energy and controls flooding in the surrounding areas. However, it has also disrupted natural habitats and fish migration patterns, and has caused erosion and changes in water temperature and flow downstream.

Similar threads

Back
Top