Answer
$2292\text{ mi/h}$
Work Step by Step
We have:
$r=2.39\times10^{5}\,miles$
$\omega=\dfrac{1\text{ revolution}}{27.3\,day}=\dfrac{1\text{ revolution}}{27.3\,day}\times\dfrac{2\pi\,rad}{1\text{revolution}}\times\dfrac{1\text{day}}{24\text{ h}}$
$\omega=0.0095897\text{ rad/h}$
The formula for linear speed $v$ is $v=r\omega$. Using this formula gives:
$v=2.39\times10^{5}\text{miles}\times0.0095897\text{ rad/h}$
$v=2292\text{ miles/h}$
