Answer:
152.7 cm/s
Step-by-step explanation:
The radius of DVD, r = 6 cm
The angular speed of DVD, [tex]\omega=243\ rev/min=25.45\ rad/s[/tex]
We need to find the linear speed of the DVD.
The relation between linear speed and angular speed is given by :
[tex]v=r\omega\\\\v=0.06\times 25.45\\\\v=1.527\ m/s[/tex]
or
v = 152.7 cm/s
So, the linear speed of the DVD is 152.7 cm/s.