Question

write a parametric equation for a circle with a radius of 20 cm and when t=0sec the x,y coordinates are (20,0) the circle takes 3 sec to complete one revolution

Answer 1

period = 3
B = 2pi/3

\[x(t) = 20\cos (\frac{2\pi}{3}t)\]
\[y(t) = 20\sin (\frac{2\pi}{3}t)\]