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PHY 101 Chapter Notes - Chapter 10: Kinetic Energy, Rotational Energy, Point Particle

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magentadeer24
16 Nov 2016
School
University of Miami
Department
Physics
Course
PHY 101
Professor
Dr.sharon Zane

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Document Summary

Axis of rotation of a wheel is its axel, as the wheel rotates each and every point on it moves i a circular path on the axis of rotation. Angular position: defined to be the angle that a line from the axis of rotation to a point makes with a reference line (angle measured from the reference line) (unit: radians which are dimensionless) At the reference line = 0 and it can be chosen to point in any direction but must be used consistently. By convention, >0 counterclockwise from the reference line; Radian: the angle for which the arc length on a circle of radius r is equal to the radius of the circle. The arc length s for an arbitrary angle is given by s= r measured in radians. This formula is only for radians; not degrees or revolutions; in a complete revolution the arc length is c= 2 r.

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

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Related Questions

With axle and spokes of negligible mass and a thin rim, a certain bicycle wheel has a radius of 0.39 m and weighs 33 N. It can turn on its axle with negligible friction. A man holds the wheel above his head with the axle vertical while he stands on a turntable that is free to rotate without friction. The wheel rotates clockwise, as seen from above, with an angular speed of 50.8 rad/s, and the turntable is initially at rest. The rotational inertia of wheel + man + turntable about the common axis of rotation is 2.1 kg·m2. The man's free hand suddenly stops the rotation of the wheel (relative to the turntable). Determine the resulting angular speed and direction of rotation of the system. (Include the sign. Take clockwise as seen from above to be positive.)

A force of magnitude , making an angle with the x axis, is appliedto a particle located at point A, at Cartesian coordinates (0, 0)in the figure. The vector and the four reference points (i.e., A,B, C, and D) all lie in the xy plane. Rotation axes A - D lieparallel to the z axis and pass through each respective referencepoint.
The torque of a force acting on a particle having a position vectorwith respect to a reference point (thus points from the referencepoint to the point at which the force acts) is equal to the crossproduct of and , . The magnitude of the torque is , where is theangle between and ; the direction of is perpendicular to both and .For this problem ; negative torque about a reference pointcorresponds to clockwise rotation. You must express in terms of , ,and/or when entering your answers.

THIS QUESTION IS ROTATIONAL KINEMATICS
Q#1
(A) A wheel starts from rest and rotates about its axiswithconstant angular acceleration. after 6.8s have elapsed, ithasrotated through an angle of 25 radians. (a) what is theangularacceleration of the wheel?(b) what is the angular velocityofthe wheel when the t=6.8seconds?(c) what is thecentrepitalacceleration of a point on the wheel at a distance r=0.45m from the axis at t =6.8s?
(B) A pneumatic high speed cutter with a 7.50cmdiametercutting disc is advertizes to have a rotation rate ofbetween 5000and 18,000 rev/min. (a)what is range of angular speedin rad/s?(b)what is range of linear speed of the edge of the disc?(c) whatis the average angular acceleration, if starting from rest,thecutter comes up to its fastest speed in 2.8s?
(C) A car engine idles at 800rpm, with the car in nuetral,youdepress the accelerator. After 1.2 sec. the tachometerindicatoesan engine speed of 3400rpm.(a) what are the initialangularvelocities in rad/s? (b) what is the average angularaccelerationduring the 1.20s interval?(c) how many revolutions doesthe enginemake during that 1.20s?