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Rotor blades of a helicopter are of radius 5.2m and rotating at a constant angul

ID: 2992214 • Letter: R

Question

Rotor blades of a helicopter are of radius 5.2m and rotating at a constant angular velocity of 5 rev/s. The helicopter is flying horizontally in a straight line at a speed of 5m/s and an acceleration of .5m/s^2.. Determine the velocity and acceleration of point A, which is the outermost tip of one of the blades (with respect to ground) when the angle is 0,90,and 180 degrees from the tail (so 0 degrees the blade would be facing opposite of the front of the helicopter, and 180 would be horiztonal with the helicopter).


The reference frames are OXYZ is fixed to the ground, Oxyz is fixed to the translating helicopter).

Explanation / Answer

Angular vel = 10pi/sec Angle = 0: V = Root of 163.3^2 + 5^2 = 163.4 m/sec Acc = 0.5m/s^2 Angle = 90 V = 163.3+5 = 168.3 m/sec Acc = 0.5m/sss^2 Angle = 180 V = Root of 163.3^2 + 5^2 = 163.4 m/sec Acc = 0.5m/s^2