Answer
The order of increasing angular speed is: tire, propeller, drill
Work Step by Step
First of all, we convert all the given angular speeds in $rad/s$ and then compare.
$\omega_{tire}=\frac{2.00\times 10^3deg}{s}(\frac{\pi rad}{180deg})=34.9\frac{rad}{s}$
$\omega_{drill}=(\frac{400 rev}{min})(\frac{2\pi rad}{rev})(\frac{1min}{60s})=41.89\frac{rad}{s}$
$\omega_{propeller}=40.0\frac{rad}{s}$
The order of increasing angular speed is: tire, propeller, drill
