Angular Speed

[Hamid]

A pendulum creates an angle, in degrees, with the vertical based on the equation: Ө=30sin(πx). Determine the angular speed of the pendulum at x=1 (second).

 

[DrPhil]

A pendulum creates an angle, in degrees, with the vertical based on the equation: Ө=30sin(πx). Determine the angular speed of the pendulum at x=1 (second).

Strange mixture of degrees and radians. I would rather call the time variable \(\displaystyle t\).

\(\displaystyle \theta = (30°)\sin (\pi t)\)

When \(\displaystyle t = 1\)s, the pendulum is crossing vertical moving from the positive to the negative side, and its velocity is is maximum.

This is posted in algebra instead of calculus, but do you know how to differentiate the sine function?