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Chapter 10: Problem 80

If both centrifuges are made thicker in the vertical direction, without changing their masses or mass distribution, their rotational inertias will a. remain the same. b. increase. c. decrease.

Short Answer

Expert verified
The rotational inertias of the centrifuges will remain the same.

Step by step solution

01

Understand Rotational Inertia

Rotational inertia, also known as moment of inertia, is the rotational analog to mass for linear motion. It describes an object's resistance to change in rotation. It depends solely on the distribution of the mass of an object and the shape of the object; not on its position relative to the rotational axis.
02

Determine the impact of shape change

In this case, the vertical thickness of the centrifuges is increased. However, the rotational axis of the centrifuges remains the same and the increase in thickness doesn't affect the distribution of mass around the axis.
03

Conclude the effect on rotational inertia

Since neither the mass nor its distribution around the rotational axis has changed, the rotational inertia of the centrifuges will not change due to the increase in thickness. The rotational inertia is determined by the shape of the object and the distribution of mass relative to the rotational axis. Here, the shape relative to the rotational axis remains the same and so does the mass distribution.

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Most popular questions from this chapter

A 25 -cm-diameter circular saw blade has mass \(0.85 \mathrm{kg}\), distributed uniformly in a disk. (a) What's its rotational kinetic energy at 3500 rpm? (b) What average power must be applied to bring the blade from rest to 3500 rpm in 3.2 s?

A \(110-\mathrm{N} \cdot \mathrm{m}\) torque is needed to start a revolving door rotating. If a child can push with a maximum force of \(90 \mathrm{N},\) how far from the door's rotation axis must she apply this force?

While the centrifuges are spinning, the net force on samples in the tubes is a. outward. b. inward. c. zero.

A rolling ball has total kinetic energy \(100 \mathrm{J}, 40 \mathrm{J}\) of which is rotational energy. Is the ball solid or hollow?

The cellular motor driving the flagellum in \(E\). coli (see Problem 47 ) exerts a typical torque of \(400 \mathrm{pN}\) -nm on the flagellum. If this torque results from a force applied tangentially to the outside of the 12 -nm-radius flagellum, what's the magnitude of that force?
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