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In: Physics

A helicopter has a rotor (radius R0) that rotates with constant angular speed ω. The helicopter...

A helicopter has a rotor (radius R0) that rotates with constant angular speed ω. The helicopter is accelerating vertically with constant acceleration A0, starting from rest. Using cylindrical coordinates
a) Write the position vector of the tip of the rotor as a function of time.
b) Find the velocity vector of the rotor tip as a function of time by taking the derivative of the previous result.
c) Find the acceleration vector of the rotor tip as a function of time.
d) Find an expression for the angle between a and v at time t.  
e) Evaluate your expression from part (d) in the limit as t → ∞.

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