Question

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 makes 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.

Answer 1

F = 33,324,295.32N

Step-by-step 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