Question

The formula

f=52×0.00256 can be used to calculate the amount of force f (pounds per square foot) exerted by wind at a given speed s in miles per hour. To the nearest tenth, calculate the force exerted by 40 mph winds.

a) 0.3 pounds per square foot
b) 0.5 pounds per square foot
c) 0.8 pounds per square foot
d) 1.0 pounds per square foot

Answer 1

Using the formula f=52×0.00256, the force exerted by 40 mph winds is calculated by multiplying 0.00256 by 40, and then that result by 52, yielding a final force of 5.3 pounds per square foot to the nearest tenth.

Step-by-step explanation:

To calculate the force exerted by 40 mph winds using the formula f=52×0.00256, we first need to plug in the wind speed, s, into the formula. Since the wind speed given in the question is 40 mph, the formula becomes:

f=52×0.00256×40

We'll then perform the calculation step by step:

1. Multiply 0.00256 by 40 to get 0.1024.
2. Multiply this result by 52 to get the final force.
3. So, the calculation is 52×0.1024, which equals 5.3248 pounds per square foot.

To the nearest tenth, the force is 5.3 pounds per square foot.