Use the formula s = rωt to find the value of the missing variable. Give an exact answer.
-$\mathrm { r } = 2 \mathrm {~cm} , \omega = \frac { \pi } { 5 }$ radian per sec, $\mathrm { t } = 16 \mathrm { sec }$
A) $\frac { 32 \pi } { 5 } \mathrm {~cm}$
B) $\frac { 5 \pi } { 32 } \mathrm {~cm}$
C) $\frac { 5 } { 32 \pi } \mathrm { cm }$
D) $\frac { 32 } { 5 \pi } \mathrm { cm }$

Question

Quizplus · Accepted Answer

The formula $s = r\omega t$ calculates the arc length $s$ given radius $r$, angular velocity $\omega$, and time $t$. Substituting $r = 2$ cm, $\omega = \frac{\pi}{5}$ rad/sec, and $t = 16$ sec gives $s = 2 \cdot \frac{\pi}{5} \cdot 16 = \frac{32\pi}{5}$ cm.

Use the Formula S = Rωt to Find the Value r=2 cm,ω=π5\mathrm { r } = 2 \mathrm {~cm} , \omega = \frac { \pi } { 5 }r=2 cm,ω=5π​

Use the Formula S = Rωt to Find the Value $\mathrm { r } = 2 \mathrm {~cm} , \omega = \frac { \pi } { 5 }$