Question

A object is 200 miles from the center of a circle and makes a circuit every 2 hours. How fast is it moving?

Answer 1

Answer: 628.31 miles/h

Explanation:

The equation to calculate the average speed $s$ of an object moving in a circular path is:

$s=\frac{2 \pi r}{T}$ (1)

Where:

$r=200 miles$ is the radius of the circumference

$T=\frac{1}{f}$ is the period, which has an inverse relation with the frequency $f=\frac{1 circuit}{2 h}=0.5 h^{-1}$. Then $T=\frac{1}{0.5 h^{-1}}=2 h$

Solving the equation:

$s=\frac{2 \pi (200 miles)}{2 h}$ (2)

$s=628.31 miles/h$ (3)