## Trigonometry (11th Edition) Clone

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