# Find the centripetal accelertion of a hawk as it flies in a horizontal arc of radius 10.3 m at a constant speed of 4.8 m/s.

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mwmovr40 | Certified Educator

Angular velocity w=V/r where w (omega) is the angular velocity in radians/s, V is the linear velocity of a point at the radius of curvature, and r is the radius of curvature.

Centripetal acceleration is given by Ac = V^2/r

So if the hawk is flying at 4.8 m/s and the radius is 10.3 m

Ac = (4.8m/s)^2/10.3m = 2.24 m/s^2