A drive has a maximum speed of 12,000 revolutions per minute. If a disc has a diameter of 12cm, what is the linear speed, in km/h, of a point 3cm from the center if the disc is spinning at a rate of 5000 revolutions per minute?

(please show step by step) thanks!

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

Then we can find the linear speed by multiplying the angular speed with the distance from center

the answer is d

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