an airplane makes a gradual 90 degree turn while flying at a constant speed of 200m/s....
an airplane makes a gradual 90 degree turn while flying at a constant speed of 200m/s. The process takes 20 seconds to complete. for this turn the magnitude of the average acceleration of the plane is?
Homework Answers
1) Find the radius of the turn:
theta = 90 deg = pi/2 rad
distance traveled = 200 m/s * 20 s = 4000 m
2) Use arc length formula
L = r*theta ==> r = L / theta
r = 4000 m / (pi/2 rad) = 2550 m
3) Use centripetal acceleration formula
a = v^2/r
a = (200 m/s)^2 / (2550 m) = 15.7 m/s^2
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