An underwater viewing window is rectangular with width 40 feet. The window extends from the surface of the water to a depth of 20 feet. Find the hydrostatic force on the window.
A) 24,960 lb
B) 998,400 lb
C) 49,920 lb
D) 499,200 lb

Question

Quizplus · Accepted Answer

The hydrostatic force is given by the formula F = ρghA, where ρ is the density of water, g is the gravitational acceleration, h is the depth of the window, and A is the area of the window.

Density of water = 62.4 lb/ft^3
Gravitational acceleration = 32.2 ft/s^2
Depth of the window = 20 ft
Area of the window = width × depth = 40 ft × 20 ft = 800 ft^2

Plugging the values into the formula, we get:

F = (62.4 lb/ft^3) × (32.2 ft/s^2) × (20 ft) × (800 ft^2) = 499,200 lb

Therefore, the hydrostatic force on the window is 499,200 lb. The correct answer is (D).

An Underwater Viewing Window Is Rectangular with Width 40 Feet