$$\text { Use the formula } \omega = \frac { \theta } { t } \text { to find the value of the missing variable. Give an exact answer unless otherwise indicated. }$$
-$$\theta = \frac { \pi } { 6 } \text { radian, } t = 11 \mathrm { sec }$$
A) $\frac { \pi } { 66 }$ radian per sec
B) $\frac { 11 \pi } { 6 }$ radians per sec
C) $\frac { 6 \pi } { 11 }$ radians per sec
D) $\frac { 66 } { \pi }$ radians per $s e c$

Question

Quizplus · Accepted Answer

The formula for angular velocity is $\omega = \frac{\theta}{t}$. Substituting $\theta = \frac{\pi}{6}$ radian and $t = 11$ sec gives $\omega = \frac{\pi/6}{11} = \frac{\pi}{66}$ radian per sec.

- θ=π6 radian, t=11sec\theta = \frac { \pi } { 6 } \text { radian, } t = 11 \mathrm { sec }θ=6π​ radian, t=11sec

- $\theta = \frac { \pi } { 6 } \text { radian, } t = 11 \mathrm { sec }$