Atypical laboratory centrifuge rotates at 4100 rpm . test tubes have to be placed into a centrifuge very carefully because of the very large accelerations. part a what is the acceleration at the end of a test tube that is 10 cm from the axis of rotation? express your answer with the appropriate units.

The test tube will be subject to centripetal acceleration. This acceleration is given by the following formula

(accel.) = (tangential velocity)^2 / (radius)

The velocity of the probe at a distance of 10 cm from the center of the centrifuge, can be calculated using the circumference of the circle:

where omega denotes the angular velocity (radians per second). So, combining both:

The test tube is subjected to an acceleration of 18434 m/s^2!

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it is a negative acceleration