Use the formula s = rωt to find the value of the missing variable. Give an exact answer.
-$$\mathrm { s } = \frac { \pi } { 3 } \mathrm {~m} , \mathrm { r } = 3 \mathrm {~m} , \mathrm { t } = 4 \mathrm { sec }$$
A) $\frac { \pi } { 36 }$ radian per sec
B) $36 \pi$ radians per sec
C) $\frac { 9 \pi } { 4 }$ radians per $\sec$
D) $\frac { 4 \pi } { 9 }$ radian per sec

Question

Quizplus · Accepted Answer

The formula $s = rωt$ can be rearranged to solve for $ω$ as $ω = \frac{s}{rt}$. Substituting the given values, $ω = \frac{\frac{\pi}{3}}{3 \times 4} = \frac{\pi}{3} \times \frac{1}{12} = \frac{\pi}{36}$ radians per sec.

Use the Formula S = Rωt to Find the Value s=π3 m,r=3 m,t=4sec\mathrm { s } = \frac { \pi } { 3 } \mathrm {~m} , \mathrm { r } = 3 \mathrm {~m} , \mathrm { t } = 4 \mathrm { sec }s=3π​ m,r=3 m,t=4sec

Use the Formula S = Rωt to Find the Value $\mathrm { s } = \frac { \pi } { 3 } \mathrm {~m} , \mathrm { r } = 3 \mathrm {~m} , \mathrm { t } = 4 \mathrm { sec }$