On a game show, a contestant spins a wheel. The angular speed of the wheel was ω=π/3 radians per second. If the wheel maintained this rate, what would be the rotation in revolutions per minute?

Respuesta :

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.