Answer:
Approximately [tex]5.841[/tex] radians per second.
Explanation:
Each revolution is [tex]2\, \pi[/tex] radians. The angular speed of [tex]55.78[/tex] revolutions per minute would be equivalent to [tex]55.78\, (2\,\pi) \approx 350.476[/tex] radians per minute.
To find the angular speed in radians per second, divide the angular speed in radians per minute by the number of seconds in each minute:
[tex]\displaystyle 350.476\; \text{min}^{-1}} \times \frac{1\; \text{min}}{60\; \text{s}} \approx 5.841\; {\rm s^{-1}}[/tex].
In other words, the angular speed is equivalent to approximately [tex]5.841[/tex] radians per second.
