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tresset_1 [31]
3 years ago
14

Determine the absolute pressure on the bottom of a swimming pool 30.0 m by 9.0 m whose uniform depth is 1.9 m . express your ans

wer using two significant figures.
Physics
1 answer:
RUDIKE [14]3 years ago
4 0
The relative pressure at the bottom of a column of fluid is given by
p_r = \rho g h
where
\rho is the fluid density
g is the gravitational acceleration 
h is the height of the column of fluid

At the bottom of the swimming pool, h=1.9 m, and the water density is 
\rho = 1000 kg/m^3, therefore the relative pressure is
p_r = (1000 kg/m^3)(9.81 m/s^2)(1.9 m)=1.86 \cdot 10^4 Pa

To find the absolute pressure, we must add to this the atmospheric pressure, p_a:
p= p_r + p_a= 1.86 \cdot 10^4 Pa + 1.01 \cdot 10^5 Pa =1.2 \cdot 10^5 Pa
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