(b) What force is exerted by the water on the window of an underwater vehicle at

Question

(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 30.4 cm?
__________N

(a) Calculate the absolute pressure at the bottom of a freshwater lake at a point whose depth is 29.5 m. Assume the density of the water is 1.00 x 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 30.4 cm?

Explanation / Answer

Here ,

a) depth , d = 29.5 m

density of water , p = 1 *10^3 Kg/m^3

Po = 101.3 kPa = 101.3 *10^3 Pa

at the botton of the lake ,

P = Po + p * g * d

P = 1.01 *10^5 + 1000 * 9.8 * 29.5

P = 3.904 *10^5 Pa

the absolute pressure at the bottom lake is 3.904 *10^5 Pa

part b)

force on the window

FOrce on window = P * area

FOrce on window = 3.904 *10^5 * pi * (0.304/2)^2

FOrce on window = 28331 N

the force is exerted by the water on window is 28331 N

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