Question

The time it takes a spinner to stop completely is 12 seconds. If the spinner completes 6 revolutions in this time, what was the average angular velocity of the spinner, in radians per second, for the 12-second interval?

Answer 1

The angular velocity by definition is given by:
 w = rev / t
 Where:
 rev: revolutions
 t: time
 Substituting values we have:
 w = (6 * (2 * pi)) / (12)
 w = 3.141592654 rad / s
 Answer:
 the average angular velocity of the spinner, in radians per second, for the 12-second interval is:
 w = 3.141592654 rad / s

Answer 2

Answer:

3.14 rad/s is the average angular velocity of the spinner.

Step-by-step explanation:

Average angular velocity :

$\omega=\frac{\Delta \theta }{\Delta t}$

Change in angular displacement Δθ=  6 revolutions

1 revolution = 360°

6 revolutions = 6 × 360° = 2160° = 37.70 rad

(1°= 0.0174533 radians )

Change in time Δt=  12 s

Average angular velocity  of the spinner =

$=\frac{37.70 rad}{12 s}=3.14 rad/s$

3.14 rad/s is the average angular velocity of the spinner.