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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?

Respuesta :

Answer:2171.6 m

Explanation:

Given

Peregrine falcon dives in circular arc with radial acceleration of

[tex]a_r=0.6\cdot g[/tex]

falcon achieves a velocity of [tex]v=113\ m/s[/tex]

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

[tex]a_r=\frac{v^2}{r}[/tex]

[tex]r=\frac{113^2}{0.6\times 9.8}[/tex]

[tex]r=2171.59\ m[/tex]    

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