You got the correct answer:

Solution approach:

Step 1 - Adjust equation to solve for Turning Period in seconds, insert the given numerical information into the equation. Reduce the terms and solve to the resultant that will be the square root of 4.6 yielding the answer of 2.1 seconds when the square root operation is completed.

Step 2 - Determine the feet per second by dividing the circumference of the centrifuge by the turning period then convert the resulting feet per second into miles per hour.

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