Respuesta :
Answer:
The maximum safe depth in salt water is 3758.2 m.
Explanation:
Given that,
Diameter = 20 cm
Radius = 10 cm
Thickness = 9.0 cm
Force [tex]F = 1.2\times10^{6}\ N[/tex]
Inside pressure = 1.0 atm
We need to calculate the area
Using formula of area
[tex]A=\pi\times r^2[/tex]
Put the value into the formula
[tex]A=\pi\times(10\times10^{-2})^2[/tex]
[tex]A=0.0314\ m^2[/tex]
We need to calculate the pressure
Using formula of pressure
[tex]P=\dfrac{F}{A}[/tex]
Put the value into the formula
[tex]P=\dfrac{1.2\times10^{6}}{0.0314}[/tex]
[tex]P=38216560.50\ Pa[/tex]
[tex]P=3.8\times10^{7}\ Pa[/tex]
We need to calculate the maximum depth
Using equation of pressure
[tex]P=P_{atm}+\rho gh[/tex]
[tex]h=\dfrac{P-P_{atm}}{\rho g}[/tex]
Put the value into the formula
[tex]h=\dfrac{3.8\times10^{7}-101325}{1029\times9.8}[/tex]
[tex]h=3758.2\ m[/tex]
Hence, The maximum safe depth in salt water is 3758.2 m.
