The peregrine falcon is the fastest animal on the planet Con

The peregrine falcon is the fastest animal on the planet. Consider the instant when it pulls out of its dive at the bottom of an arc with a radius of curvature of 50 m in standard air at sea level. Its velocity is 200 mph (89.4 m/s), weight is 8 N, wing platform area is 0.13 m^2, wingspan is 1.05 m, and infinite span drag coefficient is 0.08. Determine the lift coefficient of its wings, the time rate of change of its velocity, and the total acceleration experienced by the bird, in g\'s. Humans can withstand about 9 g\'s before losing consciousness.

Solution

solution

C_D = C_L² / ( pi e AR)

so, lift coeffcient

C_L = ( C_D pi e AR)^1/2

   = ( 0.08 X 3.14 X 0.8 X ( 1.05² / 0.13 ) )^1/2

= 1.305