Question

Help with parameterization: so I am trying to model the second hand of a clock. What I know:

the radius of the clock face is 5.
With 60 minutes on the clock and 360 degrees on a circle, each position is 6 degrees apart.
The xcoord is rcos(theta).
The y coord is rsin(theta).

Answer 1

\[x(t) = 5\cos(\frac{\pi}{2} - \frac{\pi}{30} t)\]
\[y(t) = 5\sin(\frac{\pi}{2} - \frac{\pi}{30} t)\]
this models a second hand on a clock where t=0 is at 12 o clock