   Chapter 9, Problem 9P

Chapter
Section
Textbook Problem

(a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 27.5 m. Assume the density of the water is 1.00 × 103 kg/m3 and the air above is at a pressure of 101.3 kPa. (b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 35.0 cm?

(a)

To determine
The absolute pressure at the bottom of a fresh water lake at depth of 27.5m .

Explanation

Given info: The depth of freshwater lake is 27.5m , density of water is 1.00×103kg/m3 , acceleration due to gravity is 9.80m/s2 , and the atmospheric pressure is 101.3×103Pa .

The formula for the absolute pressure at the bottom of a fresh water lake at depth is,

P=P0+ρgh

• P0 is atmospheric pressure.
• ρ is density of freshwater.
• g is acceleration due to gravity.
• h is depth of freshwater lake.

Substitute 101.3×103Pa for P0 , 1.00×103kg/m3 for ρ , 9.80m/s2 for g , and 27

(b)

To determine
The force exerted by the water on the window of an underwater vehicle at the depth if the window is circular and has a diameter of 35.0cm .

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