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

Step-by-step explanation:

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

`s=(2 \pi r)/(T)` (1)

Where:

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

`T=(1)/(f)` is the period, which has an inverse relation with the frequency
`f=(1 circuit)/(2 h)=0.5 h^(-1)`. Then
`T=(1)/(0.5 h^(-1))=2 h`

Solving the equation:

`s=(2 \pi (200 miles))/(2 h)` (2)

`s=628.31 miles/h` (3)