1. If moment of inertia of an object is 2.5kgm? about its rotation axis. Howmuch torque (constant) will it require to start from rest and move it toangular speed of 400 rev/min in 8 seconds?2. Under some circumstances, a star can collapse into an extremely denseobject made mostly of neutrons and called a neutron star. The densityof a neutron star is roughly 1014 times as great as that of ordinary solidmatter. Suppose we represent the star as a uniform, solid, rigid sphere,both before and after the collapse. The star's initial radius was 7 x 10 kmand its final radius is 16km. If the original star rotated once in 30 days,find the angular speed of the neutron star?3. A thin, rectangular sheet of metal has mass M and sides of length a andb. Use the parallel-axis theorem to calculate the moment of inertia of thesheet for an axis that is perpendicular to the plane of the sheet and thatpasses through one corner of the sheet.

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1. If moment of inertia of an object is 2.5kgm2 about its rotation axis. How much torque (constant) will it require to start from rest and move it to angular speed of 400 rev/min in 8 seconds?

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter6: Uniform Circular Motion And Gravitation

Section: Chapter Questions

Problem 16PE: Olympic ice skaters are able to spin at about 5 rev/s. (a) What is their angular velocity in radians...

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Question

1. If moment of inertia of an object is 2.5kgm? about its rotation axis. How
much torque (constant) will it require to start from rest and move it to
angular speed of 400 rev/min in 8 seconds?
2. Under some circumstances, a star can collapse into an extremely dense
object made mostly of neutrons and called a neutron star. The density
of a neutron star is roughly 1014 times as great as that of ordinary solid
matter. Suppose we represent the star as a uniform, solid, rigid sphere,
both before and after the collapse. The star's initial radius was 7 x 10 km
and its final radius is 16km. If the original star rotated once in 30 days,
find the angular speed of the neutron star?
3. A thin, rectangular sheet of metal has mass M and sides of length a and
b. Use the parallel-axis theorem to calculate the moment of inertia of the
sheet for an axis that is perpendicular to the plane of the sheet and that
passes through one corner of the sheet.

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