Question

A Ferris wheel has a radius of 32 feet and completes one revolution (or full rotation) every 5.8 minutes. At what constant angular speed does the Ferris wheel rotate at (in radians per minute)?______ radians per minute

Answer 1

Angular speed is represented by the following expression:

`\begin{gathered} w=(\Delta\theta)/(\Delta t) \\ \text{where,} \\ \Delta\theta=\text{ revolution } \\ \Delta t=\text{ time} \end{gathered}`

By the information given:

A complete revoluion is 2pi radians

`\begin{gathered} w=(2\pi)/(5.8) \\ w=1.08\text{ radians per minute} \end{gathered}`