SOLUTION: Solve the Variation Problem THe force of the wind blowing on a vertical surface varies jointly as the area of the surface and the square of the velocity. If a wind blowing at

Question 180824: Solve the Variation Problem
THe force of the wind blowing on a vertical surface varies
jointly as the area of the surface and the square of the velocity.
If a wind blowing at 50 mph exerts a force of 75 pounds on a
surface of 500 ft^2, how much force will a wind of 75 mph place
on a surface of 10 ft^2?
Answer by EMStelley(208) (Show Source): You can put this solution on YOUR website!
Joint variation is represented by y=kxz (y varies jointly as x and z). So if the force varies jointly as the area and the square of the velocity, we have that

So, if f=75, a=500 and v=50, we have that

So, if v=75 and a=10, then

So the force is 3.375 lbs.
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