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airplane a is performing a loop with constant radius p = 1000 ft. the equation d

ID: 2993465 • Letter: A

Question

airplane a is performing a loop with constant radius p = 1000 ft. the equation describing the loop is as follows.

Determine the velocity and acceleration of the plane for theta = 30

Airplane A is performing a loop with constant radius rho = 1000 ft. The equation describing the loop is as follows: (x - xc)2 + (y - yc)2 = rho2, where xc = 0 and yc = 1500 ft are the coordinates of the center of the loop. If the plane were capable of maintaining its speed constant and equal to v0 = 160 mph, determine the velocity and acceleration of the plane for theta = 30 degree.

Explanation / Answer

for theta = 30 degrees

v = 160*cos30 i + 160*sin30 j

= 80138.56 i + 80 j

a = v^2 /r = 160*160 /1000 = 25.6 m/hr^2

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