What is the linear velocity in MILES PER HOUR of the tip of a lawnmower blade spinning at 2400 revolutions per minute in a lawnmower that cuts a path that is 16 inches wide?

Question

I can't get the conversions right for this, any help is appreciated!

Answer 1

v = ωr

1. v = velocity in miles/hour (mph)
2. ω = angular velocity in radians/hour
3. r = radius in miles

ω = (2400 rev/min)(60 min/hour)(2π radians/rev) = ______ radians/hour

r = 16 inches/2 = (8 inches)(1/12 ft/in)(1/5280 miles/ft) = _______ miles

v = ωr = _____ miles/hour