In: Physics
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 →
∞.