Answer to Question #335933 in Calculus for alli

Question

A flat rectangular plate is submerged horizontally in water

a. Find the force (in lb) and the pressure (in lb/ft²) on the top surface of the plate if its area is 100 ft² and the surface is at a depth of 5 ft.

b. Find the force (in N) and the pressure (in Pa) on the top surface of the plate if its area is 25 m² and the surface is at a depth of 10 m.

Answer 1

a. P=wh

w- weight dencity of water 62.4 lb/ft²

h-depth 5 ft

P=62.4x5=312 lb/ft²

F=PA

A- area of the surface, 100 ft²

F=312x100=31200 lb

b.P=wh

w- weight dencity of water 9800 N/m³

h-depth 10m

P=9800x10=98000 Pa(N/m²)

F=PA

A- area, 25 m²

F=98000x25=2450000 N