To find the equal rate, we need to convert the units on both sides of the equation to a common unit system, and then equate the numerical values.
Given information:
- 54 lbs./1 ft.^2 = x oz./1 in.^2
Step 1: Convert pounds per square foot to ounces per square inch.
1 lb = 16 oz
1 ft = 12 in
1 ft^2 = (12 in)^2 = 144 in^2
54 lbs./1 ft.^2 = (54 lbs × 16 oz/lb) / (1 ft^2 × 144 in^2/ft^2)
= 864 oz/144 in^2
= 6 oz/in^2
Step 2: Equate the numerical values on both sides of the equation.
6 oz/in^2 = x oz/1 in^2
Therefore, the equal rate is:
x = 6 oz./1 in.^2
