A fresh-water lake has a depth of 32.5 m. (a) If the density of the water in the

Question

A fresh-water lake has a depth of 32.5 m.

(a) If the density of the water in the lake is = 1.00 × 103 kg/m3 , what is the absolute pressure at the bottom of the lake?

(b) An underwater vehicle, with a circular window of radius 15.0 cm, explores the bottom of the lake. What force is exerted by the water on the window at a depth of 32.5 m?

2. A fresh-water lake has a depth of 32.5 m. (a) If the density of the water in the lake is = 1.00 × 103 kg/m3, what is the absolute pressure at the bottom of the lake? (b) An underwater vehicle, with a circular window of radius 15.0 cm, explores the bot- tom of the lake. What force is exerted by the water on the window at a depth of 32.5 m?

Explanation / Answer

Depth of lake = 32.5 m

a) density = 10^3 Kg/m^3    Pressure = ?

P ressure of water coloumn = 32.5 m X 10^3 Kg/m^3 X 9.8 m/sec^2 = 318.5 X 10^3 Pascals

Pressure of atmosphere above water                                                   = 101.3 X 10^3 Pasacals

Absolute Pressure                                                                                = 419.8 Kilo Pascals

b) Area of window = 3.14 X (15/100)^2 = 0.071 m^2

   Force exterted by water = 318.5 X 10^3 Pascals X 0.071 m^2 = 22.6 N

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