The US Army\'s MH-47E Chinook helicopter is used as a heavy lift vehicle. The ro

Question

The US Army's MH-47E Chinook helicopter is used as a heavy lift vehicle. The rotor has three blades that rotate with a frequency f of 225 revolutions per minute. What is the angular velocity ? of the blades, measured in radians per second?

In some circumstances, it is useful to look at the linear velocity of a point on the blade. The linear velocity of a point in uniform circular motion is measured in meters per second and is just like the linear velocity in kinematics, except that its direction continuously changes. Imagine taking a part of the circle of the motion and straightening it out to determine the velocity. One application of linear velocity in circular motion is the case in which the lift provided by a section of the blade a distance r from the center of rotation is directly proportional to the linear speed of that part of the blade through the air.

What is the equation that relates the angular velocity ? to the magnitude of the linear velocity v?

Explanation / Answer

w= f*360 =81000(in rpm) =1350 rad/sec

relation between w and v (i.e angular velocity and linear velocity) :

w =v/r r is distance

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