Answer:
a) θ = 2π  b) s = 0.12π   c) 0.0471 m/s
Step-by-step explanation:
[tex]r = 6 cm\\ r= 0.06 m\\\omega =\frac{\pi}{4} radian/ s\\ t =8 sec[/tex]
To find:
                 θ = ?
                 s = ?
                 v = ?
 Using
    [tex]\theta = \omega t\\\theta = (\frac{\pi}{4})8\\\theta = 2\pi[/tex]
Distance 's' is related to θ by
           [tex]s=r \theta\\s= (0.06) (2\pi)\\s=0.12 \pi[/tex]
Linear velocity related to angular by:
       [tex]v = r \omega\\v= (0.06)(\frac {\pi}{4})\\v= 0.0471 m/s[/tex]
