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1) A submarine dives to a depth of 500 feet. The interior of submarine is mainta

ID: 1420081 • Letter: 1

Question

1) A submarine dives to a depth of 500 feet. The interior of submarine is maintained at atmospheric pressure. What is the gauge pressure and total force applied to a hatch 2 feet by 2 feet? (assume the density of seawater is 65 lbs/ft3)

Gauge Pressure = Number psi

Applied Force = Number pounds

***prior answer given by chegg that is wrong:

1) Gauge pressure = density*g*h = 62.43*32.2*500=1005123lbf/ft3 = 6980.02psi

2)force = gauge pressure * area = 6980.02*24*24=4020491.5pounds

2) What must be the diameter of a hose if it is to deliver 5 liters of oil in 1.3 minutes with an exit velocity of 3 m/s? Pipe Diameter = milimeters

Explanation / Answer

Gauge Pressure P = rho gh

P = Dh = (65 * 500)

P = 32500 lb/ft^2
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F = PA = 32500 *2 *2

F = 130000 lb

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Volume flow rate dV/dt = AV

Q = 5/1.3 * 10^-3/60

Q =6.41 *10^-5 m^3/s

Q = AV

A = Q/V

A = 6.41*106-5/6 = 1.06 * 10^-5

A = pi*d^2/4 = 1.06* 10^-5

d = 3.67 mm