The dominant form of drag experienced by vehicles (bikes, cars, planes, etc.) at operating speeds is called form drag. It increases quadratically with velocity (essentially because the amount of air you run into increases with v and so does the amount of force you must exert on each small volume of air). Thus ,where A is the cross-sectional area of the vehicle and Cd is called the coefficient of drag.
Consider a vehicle moving with constant velocity a)Find the power dissipated by form drag.
b) A certain car has an engine that provides a maximum power P0. Suppose that the maximum speed of the car, v0, is limited by a drag force proportional to the square of the speed (as in the previous part). The car engine is now modified, so that the new power P1 is 10 percent greater than the original power (P1=110%P0).
Assume the following:
The top speed is limited by air drag. The magnitude of the force of air drag at these speeds is proportional to the square of the speed.
By what percentage, (v1−v0)/v0, is the top speed of the car increased?
