Respuesta :

Answer:

[tex]\frac{20}{3} \pi\ feet/second[/tex]

Explanation:

Given:

angular speed (ω) = 20 revolution/minute

                              = (20 × 2π) rad/minute

                              = (40π ÷ 60) rad/second

                              = [tex]\frac{2}{3} \pi\ rad/s[/tex]

radius (r) = 10 feet

Relationship between angular speed and linear speed:

[tex]\boxed{linear\ speed\ (v)=angular\ speed\ (\omega)\times radius\ (r)}[/tex]

Therefore:

[tex]v=\frac{2}{3} \pi\times10[/tex]

  [tex]=\frac{20}{3} \pi\ feet/second[/tex]