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If a falcon pulls out of a dive into a circular arc at this speed and can sustain a radial acceleration of 0.6g, what is the minimum radius R of the turn?

If a falcon pulls out of a dive into a circular arc at this speed and can sustain a radial acceleration of 06g what is the minimum radius R of the turn class=


Answer :

MathPhys

Answer:

1.98 km

Explanation:

Objects moving in circular arcs experience centripetal acceleration (ac) towards the center of the arc. This acceleration is equal to the square of the tangential speed (v) divided by the radius (r) of the arc.

ac = v² / r

0.6 (9.8 m/s²) = (108 m/s)² / r

5.88 m/s² = (11,664 m²/s²) / r

r = (11,664 m²/s²) / (5.88 m/s²)

r = 1,984 m

r = 1.984 km

Rounding to three significant figures, the radius of the arc is 1.98 km.

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