Calculating water pressure in a horizontal pipe

In summary, the conversation is about calculating water pressure in a horizontal pipe using the Bernoulli principle. The equations and substitutions are given, and the correctness of the solution is confirmed.
  • #1
Pushoam
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Homework Statement


upload_2017-12-23_1-0-50.png


Homework Equations

The Attempt at a Solution


Calculating water pressure using in a horizontal pipe

Applying Bernoulli principle,

## p_a + \frac 1 2 \rho gh_a + \frac 1 2 \rho v_a^2 = p_b + \frac 1 2 \rho gh_b + \frac 1 2 \rho v_b^2 ##

## h_a = h_b, v_b = \frac { A_a v_a}{A_b} ##

Substituting the values gives, ## p_a = 3 * 10^5 ~ N\m^2 ## .

Is this correct?
 

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  • #2
Pushoam said:
## p_a + \frac 1 2 \rho gh_a + \frac 1 2 \rho v_a^2 = p_b + \frac 1 2 \rho gh_b + \frac 1 2 \rho v_b^2 ##
Your ##\rho g h## terms aren't written correctly. But this didn't affect your answer, which looks correct to m.
 
  • #3
TSny said:
Your ##\rho g h## terms aren't written correctly. But this didn't affect your answer, which looks correct to m.
##\rho g h## terms correspond to potential energies, the factor ½ should not be there. Right?
 
  • #4
Pushoam said:
##\rho g h## terms correspond to potential energies, the factor ½ should not be there. Right?
Right.
 
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  • #5
Thanks.
 

Related to Calculating water pressure in a horizontal pipe

What is the formula for calculating water pressure in a horizontal pipe?

The formula for calculating water pressure in a horizontal pipe is P = (ρgh) + (ρv2/2), where P is the pressure, ρ is the density of water, g is the acceleration due to gravity, h is the height of the water column, and v is the velocity of the water flow.

How do you determine the density of water for the calculation?

The density of water can be determined by dividing the mass of water by its volume. The density of water at room temperature is typically around 1000 kg/m3.

Is the acceleration due to gravity always the same for calculating water pressure?

No, the acceleration due to gravity may vary depending on the location. It is typically considered to be 9.8 m/s2 for most calculations, but may vary slightly based on altitude and latitude.

How does the height of the water column affect the water pressure?

The height of the water column has a direct effect on the water pressure. The higher the water column, the greater the pressure due to the weight of the water above. This is known as hydrostatic pressure.

Can the water pressure in a horizontal pipe ever be negative?

No, the water pressure in a horizontal pipe can never be negative. It may be zero if there is no water flow, but it can never be negative. Negative pressure would indicate that the water is being pulled in the opposite direction, which is not possible in a horizontal pipe.

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