Answer:
ω= 0.01 rad/s
Step-by-step explanation:
The given data is question is ,
- r = 100ft .
- t = 3 min = 180s.
Firstly let's find the linear speed. Which is
=> v = Circumference/time
=> v = 2πr/180s
=> v = 3.14 × 100ft ./ 90
=> v = 3.48 ft/s ≈ 1m/s
- Now the angular speed and linear speed are related as follows ,
=> v = r[tex]\omega[/tex]
=> [tex]\omega[/tex] = v/r
=> [tex]\omega[/tex] = 1/100
=> [tex]\omega[/tex] = 0.01 rad/s
Hence the angular speed is 0.01 rad/s.
