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dmitriy555 [2]
3 years ago
15

A box-shaped metal can has dimensions 6 in by 2 in by 12 in high. All of the air inside the can is removed with a vacuum pump. A

ssuming normal atmospheric pressure outside the can.
a. Find the total force on one of the 6 in by 12 in sides.
b. Find the gauge pressure at the bottom of a swimming pool that is 17 feet deep.
Physics
1 answer:
leva [86]3 years ago
8 0

Answer:

a) The total force is 4659.8 N

b) The gauge pressure is 50764 Pa

Explanation:

Given:

Pressure inside = 0

Patm = pressure outside = 1.013x10⁵Pa

Pressure difference = ΔP = 1.013x10⁵ - 0 = 1.013x10⁵Pa

a) The area is equal:

A=12*6=72in^{2} =0.046m^{2}

The force is:

F=delta-P*A=1.013x10^{5} *0.046=4659.8N

b) The gauge pressure at the bottom is equal:

P=\rho gh

Where:

ρ = density = 1000 kg/m³

h = 17 ft = 5.18 m

Replacing:

P=1000*9.8*5.18=50764Pa

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