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

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Discussion Overview

The discussion revolves around calculating the total force acting on the Hoover Dam, considering both the hydrostatic pressure exerted by the water and the gravitational force due to the dam's own mass. The scope includes fluid mechanics principles and mathematical reasoning related to the forces involved.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant expresses uncertainty about how to begin the calculation of the forces on the dam, specifically mentioning the need to consider both the water's force and the dam's weight.
  • Another participant inquires whether the original poster has studied fluid mechanics, suggesting that knowledge in this area may be necessary for the problem.
  • A participant suggests using Pascal's principle and provides the hydrostatic pressure equation, indicating the relationship between pressure, atmospheric pressure, water density, and height.
  • Further elaboration on the pressure equation includes specific values for water density and atmospheric pressure, along with instructions on how to calculate the force exerted by the water on the dam using the area in contact with the dam.
  • Another participant outlines the steps to find the weight of the dam using the formula for weight, suggesting that the total force can be found by summing the forces from the water and the dam itself.

Areas of Agreement / Disagreement

Participants provide various methods and equations for calculating the forces, but there is no consensus on a single approach or solution. The discussion remains open with multiple perspectives on how to tackle the problem.

Contextual Notes

Some assumptions regarding fluid mechanics principles and the specific conditions of the dam's structure may not be fully articulated, and the discussion does not resolve the mathematical steps involved in the calculations.

pete22
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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.
 
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have you done fluid mechanics yet?

Regards,

Nenad
 
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
 
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
 

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