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   

A Ferris wheel has a radius of 32 feet and completes one revolution or full rotation every 58 minutes At what constant angular speed does the Ferris wheel rotat class=

Respuesta :

Angular speed is represented by the following expression:

[tex]\begin{gathered} w=\frac{\Delta\theta}{\Delta t} \\ \text{where,} \\ \Delta\theta=\text{ revolution } \\ \Delta t=\text{ time} \end{gathered}[/tex]

By the information given:

A complete revoluion is 2pi radians

[tex]\begin{gathered} w=\frac{2\pi}{5.8} \\ w=1.08\text{ radians per minute} \end{gathered}[/tex]