A submarine has a window of area 30 times 30 | vedclass

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Question

(A) The pressure difference across the window is due to the hydrostatic pressure of the water column above it.Given:Area $A = 30 	imes 30 \,cm^2 = 90

Vedclass · Accepted Answer

$0.93 	imes 10^5$

Vedclass · Answer

(A) The pressure difference across the window is due to the hydrostatic pressure of the water column above it.Given:Area $A = 30 	imes 30 \,cm^2 = 900 	imes 10^{-4} \,m^2 = 0.09 \,m^2$.Depth $h = 100 \,m$.Density $ho = 1.03 	imes 10^3 \,kg/m^3$.Acceleration due to gravity $g = 10 \,m/s^2$.The pressure difference $\Delta P$ is given by $ho gh$.The force $F$ acting on the window is $F = \Delta P 	imes A = ho ghA$.Substituting the values:$F = (1.03 	imes 10^3) 	imes 10 	imes 100 	imes 0.09$$F = 1.03 	imes 10^3 	imes 10^3 	imes 0.09$$F = 1.03 	imes 10^6 	imes 0.09 = 0.0927 	imes 10^6 = 9.27 	imes 10^4 \,N$.Rounding to two significant figures,$F \approx 9.3 	imes 10^4 \,N = 0.93 	imes 10^5 \,N$.

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