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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