QA3- RELATIVE MOTION A helicopter is flying North-West at 80 m/s relative to the ground and the wind velocity is 15 m/s from the East. The helicopter's main rotor lies in a horizontal plane, has a radius of 6 m, and is rotating at 20 rad/s in a clockwise sense looking down on it. a) Calculate the helicopter's air speed and apparent heading through the air (i.e. both relative to the air). b) Calculate the maximum and minimum velocities of the blade-tips relative to the air. Hint: In hoth

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Chapter1: Introduction To Statics
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QA3- RELATIVE MOTION
A helicopter is flying North-West at 80 m/s relative to the ground and the wind velocity is 15 m/s from
the East. The helicopter's main rotor lies in a horizontal plane, has a radius of 6 m, and is rotating at
20 rad/s in a clockwise sense looking down on it.
a) Calculate the helicopter's air speed and apparent heading through the air (i.e. both relative to the
air).
b) Calculate the maximum and minimum velocities of the blade-tips relative to the air.
Hint: In both parts, draw sketches to visualise what's happening. In the second part, only consider
the helicopter's motion through the air and the blade-tips' motion relative to the helicopter (i.e.
the air becomes your main reference frame, not the ground).
Transcribed Image Text:QA3- RELATIVE MOTION A helicopter is flying North-West at 80 m/s relative to the ground and the wind velocity is 15 m/s from the East. The helicopter's main rotor lies in a horizontal plane, has a radius of 6 m, and is rotating at 20 rad/s in a clockwise sense looking down on it. a) Calculate the helicopter's air speed and apparent heading through the air (i.e. both relative to the air). b) Calculate the maximum and minimum velocities of the blade-tips relative to the air. Hint: In both parts, draw sketches to visualise what's happening. In the second part, only consider the helicopter's motion through the air and the blade-tips' motion relative to the helicopter (i.e. the air becomes your main reference frame, not the ground).
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