## Trigonometry (11th Edition) Clone

$1500\pi$ m per min
The formula for linear speed is $v=r\omega$ where $r$ is the radius and $\omega$ is the angular speed. The formula for angular speed $\omega$ is $\omega=\frac{\theta}{t}$. Since the tip of the propeller rotates 500 times each minute, $\omega=\frac{\theta}{t}=\frac{2\pi\times500}{1}=1000\pi$ radians per min Substituting the values of $r$ and $\omega$ in the formula for linear speed: $v=rw=1.5(1000\pi)=1500\pi$ m per min