rational exponents and radicals

[Guest]

The force on a blade of wind generator varies jointly with the product of the blade’s area and the square of the wind velocity. The force of the wind is 20 pounds when the area is 3 square feet and the velocity is 30 feet per second. Find the force when the area is increased to 5 square feet and the velocity is reduced to 25 feet per second. Round answer to the nearest hundredth.

 

[wjm11]

The force on a blade of wind generator varies jointly with the product of the blade’s area and the square of the wind velocity. The force of the wind is 20 pounds when the area is 3 square feet and the velocity is 30 feet per second. Find the force when the area is increased to 5 square feet and the velocity is reduced to 25 feet per second. Round answer to the nearest hundredth.

The force on a blade of wind generator varies jointly with the product of the blade’s area and the square of the wind velocity. This implies the following:

F = k*A*v^2

You are given information on a single function value:

F = 20
A = 3
v = 30

Plug these values in to solve for k. Once you have k, you can solve for a different set of inputs with A = 5 and v = 25.