What is Angular speed: Definition and 278 Discussions

In physics, angular frequency ω (also referred to by the terms angular speed, radial frequency, circular frequency, orbital frequency, radian frequency, and pulsatance) is a scalar measure of rotation rate. It refers to the angular displacement per unit time (for example, in rotation) or the rate of change of the phase of a sinusoidal waveform (for example, in oscillations and waves), or as the rate of change of the argument of the sine function.
Angular frequency (or angular speed) is the magnitude of the vector quantity angular velocity.One revolution is equal to 2π radians, hence




ω
=



2
π

T


=

2
π
f

,


{\displaystyle \omega ={\frac {2\pi }{T}}={2\pi f},}
where:

ω is the angular frequency or angular speed (measured in radians per second),
T is the period (measured in seconds),
f is the ordinary frequency (measured in hertz) (sometimes symbolised with ν).

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  1. J

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    Homework Statement A rod of length L and mass M is pivoted about one end. The rod is released from rest in a horizontal position, and allowed to swing downward without friction or air resistance. When the rod is vertical, what is its angular speed w? Homework Equations Moment of Inertia...
  2. GRB 080319B

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  3. M

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  4. P

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  5. M

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    Homework Statement A thin metal disk of mass m=4.50 g and radius R=2.70 cm is attached at its center to a long fiber. When the disk is turned from the relaxed state through a small angle theta, the torque exerted by the fiber on the disk is proportional to theta. Suppose the disk is twisted...
  6. S

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  7. A

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  8. P

    What is the new angular speed of the merry-go-round after a child hops on?

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  9. M

    Calculating Angular Speed with a Running Person on a Rotating Disk?

    Homework Statement A flat uniform circular disk (radius = 2.18 m, mass = 1.22E+2 kg) is initially stationary. The disk is free to rotate in the horizontal plane about a frictionless axis perpendicular to the center of the disk. A 42.9 kg person, standing 1.29 m from the axis, begins to run...
  10. B

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  11. D

    Angular Speed Between 2 rims attached by a belt

    So I'm new to the Physics Forums and am looking for some help on this problem: Wheel A of radius r=10cm is coupled by belt B to wheel C with radius R=25cm. the angular speed of wheel A is increased from rest at a constant rate of 1.6 rad/s^2. Find the time needed for wheel C to reach an...
  12. D

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    So I'm new to the Physics Forums and am looking for some help on this problem: Wheel A of radius r=10cm is coupled by belt B to wheel C with radius R=25cm. the angular speed of wheel A is increased from rest at a constant rate of 1.6 rad/s^2. Find the time needed for wheel C to reach an...
  13. A

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  14. Y

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  15. C

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  16. B

    How Does a Spider Affect the Angular Speed of a Turntable?

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  17. O

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  18. Z

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    Hi i am preparing for the test and i have a problem with the following question. an image is attached. On a frictionless table, a glob of clay of mass 0.30 kg strikes a bar of mass 1.20 kg perpendicularly at a point 0.22 m from the center of the bar and sticks to it. If the bar is 1.34 m...
  19. C

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  20. Q

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    Homework Statement (a) A certain comet of mass m at its closest approach to the Sun is observed to be at a distance r1 from the center of the Sun, moving with speed v1. At a later time the comet is observed to be at a distance r2 from the center of the Sun, and the angle between rvec2 and...
  21. L

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    Homework Statement A small mouse of mass 50 g drops straight down upon and grabs onto the outer edge of a freely rotating disk of initial speed of 30 rev/min. The moment of inertia of the disk is 0.005 kg-m2 and its radius is 20 cm. a) Find the angular speed of the disk after the mouse...
  22. D

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  23. D

    Finding minimum angular speed? in rpms

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  24. S

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  25. S

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    Homework Statement You are standing on the edge of a turntable with frictionless bearings that is initially rotating when you catch a ball that is moving in the same direction (but faster than) you are moving and on a line tangent to the edge of the turntable. Assume you do not move on the...
  26. T

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  27. F

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  28. R

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  29. S

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  30. S

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  31. F

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  32. M

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  33. R

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  34. H

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  35. B

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  36. T

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  37. Y

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  38. M

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  39. R

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  40. D

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  41. P

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  42. 9

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  43. I

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  44. A

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  45. F

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  46. P

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  47. C

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  48. W

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  49. C

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  50. M

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