a) A hawk flies in a horizontal arc of radius 14.7 m at a constant speed of 2.1

Question

a) A hawk flies in a horizontal arc of radius 14.7 m at a constant speed of 2.1 m/s. Find its centripetal acceleration. Answer in units of m/s2

b) It continues to fly along the same horizontal arc but increases its speed at the rate of 0.74 m/s2. Find the magnitude of acceleration under these new conditions. Answer in units of m/s2

c) Find the direction of acceleration relative to the direction of motion under these conditions. Answer between ?180? and 180?. Answer in units of ? can u please include a diagram

Explanation / Answer

(A) centriperal acc = v^2 / r

= 2.1^2 / 14.7

= 0.30 m/s^2

(B) centripetal acc., ac = 0.30 m/s^2

tangential acc. at = 0.74 m/s^2

these two acc are perpendicular.

magnitude = sqrt(ac^2 + at^2) = 0.798 m/s^2

(C) tan^-1(0.30 / 0.74) = 22 deg with the direction of its velocity at that moment.

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