Question

A biker can ride at 12 m/s on a level road when there is no wind and at 7.5 m/s on a level road when there is a head wind of 5 m/s. Assume that fluid drag and resistance due to friction are the only forces acting on the biker. The friction force is given by the product of rolling resistance and bike velocity. The density of ambient air is 1.2 kg/m3 If the biker delivers 10.2500 W of power while riding the bike, determine the value of LaTeX: C_D A

Answer 1

The answer is "
`1.94 \ m^2`".

Step-by-step explanation:

Formula:

`F= (1)/(2) * C_D * density * area * velocity^2\\\\Power (P) = F * velocity \\\\P = (C_D)/(2) * density * area * velocity^3\\`

Given value:

`\ P = 10.25 \ W \\\\\ density = 1.2 \ kg/m^3 \\\\\ velocity= 2.5 \\\\`

`10.25 = (C_D A)/(2) * 1.2 * 2.5^3\\\\C_D A= (10.25 * 2 )/(1.2 * 2.5^3)\\\\C_D A = 1.94 m^2\\`