A rectangular plate with a width of 19 m and a height of 12 m is located 4 m below a water surface. The plate is tilted and make
s a 35° angle with the horizontal. The resultant hydrostatic force acting on the top surface of this plate is _____. Solve this problem using appropriate software.
1 answer:
Answer:
F = 33,324,295.32N
Explanation:
We will first of all find the height at which the plate is inclined. We use sine rule in this case
SinΘ = Opp/hyp
Opp=h, hyp=19m, Θ=35°
h = 19xSin35 = 10.899m
Therefore height h=10.899+4 = 14.899m
We then Calculate Area of the plate
Area = 12x19 = 228m²
Finally, we use an online software to calculate the Hydrostatic pressure
The result from the online computation is attached.
The pressure is p = 146159.19Pa
But pressure p is
Pressure=Force/Area
Making Force the subject
Hydrostatic Force = Pressure x Area
F= 146159.19 x 228 = 33,324,295.32N
F = 33,324,295.32N
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Answer: the absolute static pressure in the gas cylinder is 82.23596 kPa
Explanation:
Given that;
patm = 79 kPa, h = 13 in of H₂O,
A sketch of the problem is uploaded along this answer.
Now
pA = patm + 13 in of H₂O ( h × density × g )
pA= 79 + (13 × 0.0254 × 9.8 × 1000/1000)
pA = 82.23596 kPa
the absolute static pressure in the gas cylinder is 82.23596 kPa
