Question

In a vertical dive, a peregrine falcon can accelerate at 0.6 times the free-fall acceleration g (that is, at 0.6 g ) in reaching a speed of about 113 m / s. If a falcon pulls out of a dive into a circular arc at this speed and can sustain a radial acceleration of 0.6 g , what is the radius R of the turn?

Answer 1

Answer:2171.6 m

Explanation:

Given

Peregrine falcon dives in circular arc with radial acceleration of

$a_r=0.6\cdot g$

falcon achieves a velocity of $v=113\ m/s$

Radial acceleration is the acceleration towards the center and it depends upon speed and radius of arc

$a_r=\frac{v^2}{r}$

$r=\frac{113^2}{0.6\times 9.8}$

$r=2171.59\ m$