at a depth of 1000m in an ocean (1). what is absolute pressure (2). the gauge pressure (3)find the firce acting of the window of area 20*20cm of a submarine at this depth the interior of which it's maintained at sea level
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Answer:
Here h = 1000 m and ρ = 1.03 × 103 kg m-3.
(a) From Eq. P2 − P1= ρgh, absolute pressure
P = Pa + ρgh
= 1.01 × 105 Pa+ 1.03 × 103 kg m–3 × 10 m s–2 × 1000 m
= 104.01 × 105 Pa
≈ 104 atm
(b) Gauge pressure is P − Pa = ρgh = Pg
Pg = 1.03 × 103 kg m–3 × 10 ms2 × 1000 m
= 103 × 105 Pa
≈ 103 atm
(c) The pressure outside the submarine isP = Pa + ρgh and the pressure inside it isPa. Hence, the net pressure acting on thewindow is gauge pressure, Pg = ρgh. Sincethe area of the window is A = 0.04 m2, theforce acting on it is
F = Pg A = (103 × 105 Pa) × 0.04 m2 = 4.12 × 105 N
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