Answer: 10 revolution per minute.
Step-by-step explanation:
Since, Revolutions per minute,
[tex]rpm = \frac{\omega\times 60}{2\pi}[/tex] ( Because, ω = 2π×rpm/60)
Here, The angular speed of the wheel was ω=π/3 radians per second.
Therefore, [tex]rpm = \frac{\pi/3\times 60}{2\pi}[/tex]
⇒ [tex]rpm = \frac{60}{6}[/tex]
⇒ [tex]rpm = 10[/tex]
That is, wheel will be revolve 10 times.