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Leno4ka [110]
3 years ago
15

What is the pressure at the bottom of a 32m high water tower in gage pressure and absolute pressure (answers in kPa, and bar)

Engineering
1 answer:
creativ13 [48]3 years ago
5 0

Answer:

P_{g}=313.6kPa, P_{g}=3.13bar, P_{a}=414.93kPa, P_{a}=4.15bar

Explanation:

The gauge pressure is the one made by the water over the bottom of the tank without taking into account the pressure of the atmosphere. It can be calculated by using the following equation:

P_{g}=\gamma _{H_{2}O} h

in this case:

\gamma _{H_{2}O}=9.8kN/m^{3}

and h=32m

so the equation would then solve to:

P_{g}=(9.8kN(m^{3})(32m)

Which yields

P_{g}=313.6kPa

now, in order to find the bars, we must remember that:

1bar=100kPa, so

313.6kPa*\frac{1bar}{100kPa}=3.136bar

Now, in order to find the absolute pressure we need to add the atmospheric pressur to the pressures previously found.

P_{a}=313.6kPa+101.325kPa

P_{a}=414.93kPa

and likewise we can do the conversion of kPa to bars, so we get:

414.93kPa*\frac{1bar}{100kPa}=4.15bar

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