A helicopter moves horizontally in the x direction at a speed of 120 mi/h. Knowing that the main blades rotate clockwise when viewed from above with an angular velocity of 220 rpm, determine the instantaneous axis of rotation of the main blades.

The instantaneous axis of rotation=

x = 0 ; z = 8.4 ft

Explanation:

Given:

Speed of helicopter, Vo= 120 mi/h, converting to ft/sec, we have:

= 176 ft/s

Angular velociyy, w = 220 rpm, converting to rad/sec, we have:

The helicopter moves horizontally in the x direction at a speed of 120 mi/h, this means that the helicopter moves in the positive x direction at 120mi/h

To find the instantaneous axis of rotation of the main blades, we have:

Where Vc = 20.95 rad/s

Vo = 176 ft/s

= 8.4 ft

Therefore the axis of rotation=

x = 0 ; z = 8.4 ft

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