SOLUTION: The force of the wind on a sail varies jointly as the area of the sail and the square of the wind velocity. On a sail of area 50 sq. yd, the force of a 15 mph wind is 45 pounds. Fi

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Question 1186506: The force of the wind on a sail varies jointly as the area of the sail and the square of the wind velocity. On a sail of area 50 sq. yd, the force of a 15 mph wind is 45 pounds. Find the force on the sail if the wind increases by 30 mph.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
F, the force
a, the sail area
v, the wind velocity
k, variation constant

First sentence is

The second sentence lets you get the value for k.




The formula becomes
.
.
Answer by ikleyn(52855)   (Show Source): You can put this solution on YOUR website!
.

The speed of the wind increased from 15 mph to 15 + 30 = 45 mph.

The area of the sail did not change.


With the speed of the wind increased thrice, the new force is 3^2 = 9 times as large as 45 pounds, i.e. 


     9 * 15 = 135  pounds.    ANSWER

Solved and answered.



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