the tip of a lawnmower blade spinning at 2300 rev/min cuts a 20-inch wide path. What is the angular speed in degrees per hour?

Question

I can not figure out how to convert it from miles per hour to degrees per hour, which I am trying to learn for my upcoming lessons. The miles per hour is 136.84967998.

Answer 1

1 revolution is equivalent to 360° and 1 hour is equivalent to 60 minutes, so

2300 rev/min = (2300 rev/min)*(360°/1 rev)

2300 rev/min = 828000°/min

2300 rev/min = (828000°/min)*(60 min/1 hr)

2300 rev/min = 49680000°/hr

Note that the right-most quantities on the first and third line are simply conversion factors derived from the equivalence relationships noted at the beginning. Each quantity evaluates to 1, allowing for the multiplication while retaining equality.