A sample of blood is placed in a centrifuge of radius 20.0 cm. The mass of a red blood cell is 3.0 x 1010 kg, and the magnitude of the force acting on it as it settles out of the plasma is 4.0 x 10-11 N. At how many revolutions per second should the centrifuge be operated? rev/s

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Chapter1: Units, Trigonometry. And Vectors
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**Educational Content: Calculating Centrifuge Revolutions**

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**Problem Statement:**

A sample of blood is placed in a centrifuge of radius 20.0 cm. The mass of a red blood cell is \(3.0 \times 10^{-16}\) kg, and the magnitude of the force acting on it as it settles out of the plasma is \(4.0 \times 10^{-11}\) N. At how many revolutions per second should the centrifuge be operated?

\[
\text{{Revolutions per second: }} \_\_\_\_ \text{{ rev/s}}
\]

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In this problem, you'll employ the relationships between mass, force, and rotational motion to find the necessary operational speed of a centrifuge in revolutions per second. No graphs or diagrams are provided in this text.
Transcribed Image Text:**Educational Content: Calculating Centrifuge Revolutions** --- **Problem Statement:** A sample of blood is placed in a centrifuge of radius 20.0 cm. The mass of a red blood cell is \(3.0 \times 10^{-16}\) kg, and the magnitude of the force acting on it as it settles out of the plasma is \(4.0 \times 10^{-11}\) N. At how many revolutions per second should the centrifuge be operated? \[ \text{{Revolutions per second: }} \_\_\_\_ \text{{ rev/s}} \] **Need Help?** [Read It] --- In this problem, you'll employ the relationships between mass, force, and rotational motion to find the necessary operational speed of a centrifuge in revolutions per second. No graphs or diagrams are provided in this text.
Expert Solution
Step 1

Q. Given data

Mass of Red blood cell m = 3.0 × 10-16 kg

Radius of the centrifuge R = 20.0 cm = 0.20 m

Magnitude of the centrifugal force on RBC  F = 4.0 × 10-11 N

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