Answer:
56.55 km/h
Step-by-step explanation:
First we need to convert from revolutions per minute to rad per hour knowing that each revolution equals to 2π rad and 1 hour = 60 minutes
5000 rev/min = 5000 rev/min * 2π rad/rev * 60 (min/hour) = 1884955 rad/h
[tex]3 cm = 3\times10^{-5} km[/tex]
Then we can find the linear speed by multiplying the angular speed with the distance from center
[tex]v = \omega r = 1884955 * 3 \times 10^{-5} = 56.55 km/h[/tex]