Answer:
S=9.42 feet
Step-by-step explanation:
Since, the length of the rope is 20 feet and it swings through an angle of 27° each second, let s be the distance traveled by the weight, then
using the formula, S=[tex]\frac{{\theta}}{360^{{\circ}}}{\times}2{\pi}r[/tex]
Placing the given values, we get
S=[tex]\frac{27^{{\circ}}}{360^{{\circ}}}{\times}2{\times}\frac{22}{7}{\times}20[/tex]
=[tex]0.075{\times}\frac{44}{7}{\times}20[/tex]
=[tex]9.42 feet[/tex]