Question

Given the width of the lawnmower is 5 feet and the

length of the rope is 20 feet, calculate the radius (R) of
the pole that will produce a perfect lawn.

Answer 1

R=0.39789 ft

Explanation:

For the perfectly mowed lawn, after one revolution, you want the lawnmower to be exactly one lawnmower's width closer to the pole. This implies that one lawnmower width should wrap around the circumference of the pole every revolution. So for this lawnmower we want:

2πR=2.5

⇒R=2.5/2π

R=0.39789 ft