Answer to Question #238117 in Physics for Boris

Question

A diver swim in the lake with depth of 10 m. Find the following information while the diver is in the water:

(a) What is the atmospheric pressure on the back of the scuba diver? 

(b) What is the pressure exerted by the water on the body of the scuba diver? 

(c) What is the total pressure on the back of the scuba diver? 

(d) What is the density of water in the lake? 

(e) What is the force on the diver’s back due to the water alone, taking the surface of the back to a rectangle 60 cm by 50 cm? 

Answer 1

(a) The atmospheric pressure is p_a = 101325 Pa.

(b) The pressure exerted by the water on the body of the scuba diver is

$$p_w=\rho gh=1000·9.8·10=98000\text{ Pa}.$$

(c) The total pressure on the back of the scuba diver is

$$p=p_a+p_w=199325\text{ Pa}.$$

(d) The density of water is 1000 kg/m³

(e) The force that corresponds to this area is

$$F=p_wA=98000·0.6·0.5=29400\text{ N}.$$