Answered: Find the moment of inertia in kg/m2 of…

Find the moment of inertia in kg/m2 of a uniform gas sphere-mass density of 0.687 kg/m3 about an axis with a radius of 5m through its center.

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter42: Molecules And Solids

Section: Chapter Questions

Problem 10P

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The oxygen molecule has a mass of 5.30 × 10-26 kg and a moment of inertia of 1.94×10-46 kg m2 about an axis through its centre perpendicular to the lines joining the two atoms. Suppose the mean speed of such a molecule in a gas is 500 m/s and that its kinetic energy of rotation is two thirds of its kinetic energy of translation. Find the average angular velocity of the molecule.
A star originates as a large body of slowly rotating gas.Because of gravitational attraction, this large body of gas slowly decreases in size.You can assume that no external forces are acting.Which one of the following statements correctly describes what happens as the radius of the body of gas decreases? Both the moment of inertia and the angular velocity increase. Both the angular momentum and the angular velocity increase. The angular momentum increases and the angular velocity decreases. Both the angular momentum and the angular velocity decrease. The angular momentum remains constant and the angular velocity increases.
Consider an oxygen molecule (O2) rotating in the xy plane about the z axis. The axispasses through the center of the molecule, perpendicular to its length. The mass of each oxygen atom is 2.66 x 10-26 kg, and at room temperature the average separation between the two atoms is d=1.21 x 10-10 m (the atoms are treated as point masses). a) Calculate the moment of inertia of the molecule about the z axis. b) If the angular speed of the molecule about the z axis 4.60 x 1012 rad/s, what is its rotational kinetic energy?
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Let's consider the three atoms composing the molecule now have different masses and coordinate, while the axis of rotation is still y axis. The first atom has a mass of 9.199 kg, with x coordinate at 3.655 m and y coordinate at 8.442 m. The second atom has a mass of 41.619 kg, with x coordinate at 76.902 m and y coordinate at 57.706 m. The third atom has a mass of 39.818 kg, with x coordinate at 39.495 m and y coordinate at 25.9 m. What is the moment of inertia in unit of kg m2 with respect to the y axis?
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