Problem 56P

Find the linear speed of the bottom of a test tube in a centrifuge if the centripetal acceleration there is 52,000 times the acceleration of gravity. The distance from the axis of rotation to the bottom of the test tube is 7.5 cm.

Solution 56P

Step 1 of 2:

A test tube filled with a content is rotated in a centrifuge. The centripetal acceleration is provided. We are going to find the linear speed of the bottom of the test tube.

The centripetal acceleration acp = 52,000 g

The acceleration due to gravity g = 9.8 m/s2

The distance between the bottom of the test tube and the axis of rotation r = 7.5 cm or 0.075 m