A hawk flies in a horizontal arc of radius 10.0 m at a constant speed of 4.00 m/

Question

A hawk flies in a horizontal arc of radius 10.0 m at a constant speed of 4.00 m/s. (a) Find its centripetal acceleration.
m/s2

(b) It continues to fly along the same horizontal arc but increasesits speed at the rate of 1.10m/s2. Find the acceleration (magnitude and direction)under these conditions.
Magnitude m/s2 Direction ° towards center of circle (a) Find its centripetal acceleration.
m/s2

(b) It continues to fly along the same horizontal arc but increasesits speed at the rate of 1.10m/s2. Find the acceleration (magnitude and direction)under these conditions.
Magnitude m/s2 Direction ° towards center of circle Magnitude m/s2 Direction ° towards center of circle

Explanation / Answer

a) The centripetal acceleration is            ar = v2/r Here v = 4.00 m/s           r = 10.0m b) The tangential acceleration is at = 1.10m/s2     The magnitude of the total accelerationis                a =[ar2 +at2] Direction is =tan-1[ar/at] Subsitute the values.

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