An airplane propeller rotates 1000 times per min. Find the number of degrees that a point on the edge of the propeller will rotate in 1 sec.
$$\frac{1000rotations }{1min}\\\\
=\frac{1000rotations }{60seconds}\\\\
=\frac{50rotations }{3seconds}\\\\
\mbox{Now use the units to help you}\\\\
\frac{360degrees}{rotation}\times \frac{50 rotations}{3 seconds}\\\\
=\mbox{The rotations cancel out leaving you with }\\\\
=\frac{360*50}{3}degrees/second\\\\
=120*50\;degrees/second\\\\
=6000\;degrees/second\\\\$$
$$\frac{1000rotations }{1min}\\\\
=\frac{1000rotations }{60seconds}\\\\
=\frac{50rotations }{3seconds}\\\\
\mbox{Now use the units to help you}\\\\
\frac{360degrees}{rotation}\times \frac{50 rotations}{3 seconds}\\\\
=\mbox{The rotations cancel out leaving you with }\\\\
=\frac{360*50}{3}degrees/second\\\\
=120*50\;degrees/second\\\\
=6000\;degrees/second\\\\$$