Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 3 - Radian Measure and the Unit Circle - Section 3.4 Linear and Angular Speed - 3.4 Exercises - Page 130: 19


$t=\frac{6}{5}$ minutes

Work Step by Step

Step 1: The formula to be used here is $w=\frac{\theta}{t}$. Step 2: To find $t$, we rearrange the formula to $t=\frac{\theta}{w}$. Step 3: After substituting the values of $\theta$ and $w$ provided by the question into this formula, the equation becomes $t=\frac{\frac{2\pi}{9}}{\frac{5\pi}{27}}$ Step 4: $t=\frac{2\pi}{9}\times\frac{27}{5\pi}$ Step 5: After simplifying, $t$ is found to be equal to $\frac{6}{5}$ minutes.
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