Question

Metabolic power is the rate at which your body "burns" fuel to power your activities. For many activities, your body is roughly 25% efficient at converting the chemical energy of food into mechanical energy. What is the cyclist's metabolic power while cycling at 7.3 m/s? Express your answer to two significant figures and include the appropriate units. PMP M =

Answer 1

Metabolic power 420.138 W

Step-by-step explanation:

Given data:

considering drag coefficient Cd = 0.9

Assuming cross section of cyclist A = 0.50 m^2

Take density of air ρ = 1.2 kg/m3

We know that drag force is given as

`Drag\ Force = Cd* 1/2 * \rho AV^2`

`D = 0.9* 1/2* 1.2* 0.5* 7.3^2`

D = 14.388 N

`Power = D* V = 14.388* 7.3 = 105.03 W`

hence metabolic power is given as

Metabolic power
`= (D)/(\eta)`

`= (105.03)/(0.25)`

= 420.138 W