   Chapter 7, Problem 24P

Chapter
Section
Textbook Problem

A sample of blood is placed in a centrifuge of radius 15.0 cm. The mass of a red blood cell is 3.0 × 10−16 kg, and the magnitude of the force acting on it as it settles out of the plasma is 4.0 × 10−11 N. At how many revolutions per second should the centrifuge be operated?

To determine
The number of revolutions per second the centrifuge to be operated.

Explanation

Given Info: The magnitude of centrifugal force on a sample of blood is 4.0×1011N ,  the mass of the sample of blood is 3.0×1016kg , and the radius of the centrifuge is 0.150m .

Explanation: The number of revolutions per second is about the angular speed of the centrifuge.

The formula for the angular speed or number revolutions per second the centrifuge to be operated is,

ω=Fcmr

• Fc is the centrifugal force.
• m is mass of the blood sample.
• r is radius of centrifuge.

Substitute 4.0×1011N for Fc , 3.0×1016kg for m , and 0.150m for r to find ω

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