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PHYSICS 1D03 Lecture 11: PHYS1D03-L11

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13 May 2016

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McMaster University

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PHYSICS 1D03 Full Course Notes

PHYSICS 1D03 Full Course Notes

Document Summary

The speeds of the particles differ, but each one completes a full revolution in the same time. We describe the rotational motion using angle, angular velocity, and angular acceleration: Units: by convention, angles are measured in radians. s r or s r. 2 rad = 360o arc length s r r. Angular velocity has units of rad/s or s-1. Angular acceleration has units of rad/s2 or s-2 (the radian is a ratio of two lengths, and not really a unit. Some equations will require angles to be in radians. ) 2 angular velocity ( omega ): angular acceleration ( alpha ): t (radians) angle ( theta ): (rad/s) dt d (rad/s2 ) dt t t ( )t t d. A particle p travels in a circle of radius r. the velocity is tangential to the circle and perpendicular to the radius. Tangential velocity: v t ds dt d dt r r d dt r.

Related textbook solutions

Physics: Principles with Applications

7th Edition, 2013

ISBN: 9780321625922

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Related Questions

calculate the angular momentum of the earth in its orbit around the sun?

m   5.97 10 kg 6 E R   6.38 10 m Orbital radius 11 r   1.50 10 m Period of rotation Prot = 24 h 86,400 s  Period of revolution Prev = 7 1 y 3.156 10 s   Identify: L I z z   Set Up: For a particle of mass m moving in a circular path at a distance r from the axis, 2 I mr  and v r   . For a uniform sphere of mass M and radius R and an axis through its center, 2 2 5 I MR  . The earth has mass 24 E m   5.97 10 kg , radius 6 E R   6.38 10 m and orbit radius 11 r   1.50 10 m . The earth completes one rotation on its axis in 24 h 86,400 s  and one orbit in 7 1 y 3.156 10 s   . Execute: (a) 2 24 11 2 40 2 7 2 rad (5.97 10 kg)(1.50 10 m) 2.67 10 kg m /s 3.156 10 s L I mr z z z                   . The radius of the earth is much less than its orbit radius, so it is very reasonable to model it as a particle for this calculation. (b)   2 2 2 24 6 2 33 2 5 5 2 rad (5.97 10 kg)(6.38 10 m) 7.07 10 kg m /s 86,400 s L I MR z z                  Evaluate: The angular momentum associated with each of these motions is very large. Note that the orbital angular momentum is over 7 orders of magnitude greater than its rotational angular momentum. In fact, most of the total angular momentum of the solar system comes from the sum of the orbital angular momenta of its planets.

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