Physics - circular motion?

Question

A particle's circular motion in the x-y plane is given by the equations: r(t) = 4.86m, theta(t) = (9.96rad/s)t, where r is the distance from te origin and theta is the polar angle measured counterclockwise from the positive x-axis. What is the x-coordinate of the particle at time t = 3.40s?

Answer 1

1. Find the values of r and θ at the given time (just plug 3.40 s into the r(t) and θ(t) functions. (Especially easy for r, since it's constant!)

2. Use the standard formula: x = (r)cosθ

Answer 2

If the bicycle proprietor leans in, yet keeps his velocity, the centrifugal rigidity will strengthen. This certainly makes it much less annoying to slide. the actual reason is that if the cycle is vertical, the sole rigidity against the line is the burden of the cycle and rider. via leaning in, the bicycle proprietor directs the assorted centrifugal rigidity in direction of the line, increasing the frictional rigidity, which permits forestall slipping.