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Chapter 3.8 Exercise 37
Problem
A point P moves uniformly along the circle x**2 + y**2 = r**2 with
angular velocity omega. Find the xy-coordinates of P at time t given
that the motion starts at time t=0 with theta = theta_0.
Solution
Assume that angles are measured as usual counterclockwise from the
x-axis. Then theta(t) = omega*t + theta_0, x = r*cos(theta)
= r*cos(omega*t+theta_0) and similarly
y = r*sin(omega*t+theta_0).