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. E

    Calculating Angular Speed of a Falling Rod

    A thin 1.0-m rod pivoted at one end falls (rotates) frictionlessly from a vertical position, starting from rest. What is the angular speed of the rod when it is horizontal? [Hint: Consider the center of mass and use the conservation of mechanical energy.] So far I'm thinking that intial...
  2. A

    Calculating Angular Speed: Simple or Complicated?

    If a wheel accelerates from rest at 1.0 m/s^2 and I need to find the instantaneous angular speed of the wheel at .10s would this be the proper formula: final angular speed=initial angular speed + angular acceleration(change in time) When I use this formula, it comes out to .10 rad/s which...
  3. C

    What is the Angular Speed of a Car Wheel?

    A car wheel turns through 277 degrees in 10.7 s. Calculate the angular speed of the wheel. Well, i know the Angular Accelereartion is equal to the change in angular velocity divided by the time required to make that change. So should i first convert 277 degrees to radians?.. which is...
  4. S

    Angular speed and rotation problem

    what is the angular speed \omega about the polar axis of a point on Earth's surface at a latitude of 40^o I know that the radius of the Earth is 6.37 x 10^6m I also know that the Earth rotates about this axis (40^o) I don't really understand what their asking...obviously angular...
  5. S

    Find angular speed of a point on the earth

    what is the angular speed \Omega about the polar axis of a point on Earth's surface at a latitude of 40^o I know that the radius of the Earth is 6.37 x 10^6m I also know that the Earth rotates about this axis (40^o) What do I do?
  6. S

    How Do You Convert RPM to Radians Per Second for a Flywheel?

    Hi, A flywheel with a diameter of 1.2 m is rotating at an angular speed of 200 revs/min What is the angular speed of the flywheel in radians per second? Would I just do this? 200 revs/min = 3.33 revs/sec 3.33 revs/sec = 6.66(pi)rads - - - answer?
  7. I

    Find the angular speed of the system right after the collision

    The problem: A projectile of mass m=1.8 kg moves to the right with speed v=24.8 m/s. THe projectile strikes and sticks to the end of a stationary rod of mass M=6.75 kg and length d=1.71 m that is pivoted about a frictionless axle through its center. Find the angular speed of the system right...
  8. V

    What is the Angular Speed of a Toy Train's Wheel in a Rotating Track System?

    A toy train track is mounted on a large wheel that is free to turn with negligible friction about a vertical axis as shown in the figure above. The mass of the wheel plus track is 3.59 kg and the radius is 1.79 m. Ignore the mass of the spokes and hub. A toy train of mass 0.203 kg is placed on...
  9. P

    Angular Speed of Disk with 260 kg Mass and 69 kg Person

    A flat uniform circular disk (radius = 1.90 m, mass = 260 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 69.0-kg person, standing 1.97 m from the axis, begins to run on the disk in a circular...
  10. T

    Calculating Angular Speed of Amusement Park Ride

    angular speed please help :confused: :confused: :confused: i just don't see how i can get this w/out knowing anything containing time: in an amusement park rocket ride, cars are suspeded from 4.25 m cables attached to rotating arms at a distan o 6 m from the axis of rotation. The ables...
  11. M

    Angular Speed of Rolling Sphere: 32o Roof, L = 7.0 m, 12 kg, 13 cm

    A solid sphere of radius 13.0 cm and mass 12.0 kg starts from rest and rolls without slipping a distance of L = 7.0 m down a house roof that is inclined at 32o. What is the angular speed about its center as it leaves the house roof? Use units of "rad/s".
  12. C

    Calculate Initial Angular Speed of Fan | High to Low Button Pushed

    An electric fan is running on HIGH. After fan has been running of 13.2 minutes, the LOW button is pushed. The fan slows down to 98 rad/sec in 1.83 seconds. The blades of the fan have a radius of 0.62 meters and their deceleration rate is 42.3 rad/sec2. What was the initial angular speed of...
  13. P

    Angular speed around a bar/clay system's center of mass after impact

    On a frictionless table, a glob of clay of mass 0.740 kg strikes a bar of mass 1.740 kg perpendicularly at a point 0.140 m from the center of the bar and sticks to it. If the bar is 0.660 m long and the clay is moving at 9.600 m/s before the impact, what is the final speed of the center of mass...
  14. M

    Generators (know r, l, B, angular speed of coil) how to find peak EMF?

    The coil of a generator has a radius of 0.14 m. When this coil is unwound, the wire from which it is made has a length of 5.7 m. The magnetic field of the generator is 0.20 T, and the coil rotates at an angular speed of 25 rad/s. What is the peak emf of this generator? Please help me get...
  15. C

    Angular speed and intertia problem

    I'm kinda having trouble figuring out this problem...i already know that i have to use conservation of angular momentum Iiwi=Ifwf but I'm having trouble calculating the key part, the second moment of inertia. I'm pretty sure that im' supposed to be using this form of the calculation of inertia...
  16. C

    Problem with old and New angular speed help me please

    I'm kinda having trouble figuring out this problem... i was thinking of doing a system of equations to relate the present angular and new angular speed but that didn't really get me anywhere because i wasn't really including all the variables in the problem... that and i couldn't simplify it...
  17. P

    How Does Angular Speed Change When Skaters Connect by a Pole?

    Two skaters, each of mass 85 kg, approach each other along parallel paths separated by 3.5 m. They have equal and opposite velocities of 1.6 m/s. The first skater carries one end of a long pole with negligible mass, and the second skater grabs the other end of it as she passes. Assume...
  18. B

    Calculating the Angular Speed of a Rotating Space Station Ring

    A proposed space station includes living quarters in a circular ring 50.3 m in diameter. At what angular speed should the ring rotate so the occupants feel 0.411 g where g is the gravitational acceleration on the surface of the Earth?
  19. E

    Determining Angular Speed of High-Speed Sander

    A high-speed sander has a disk 4.00 cm in radius that rotates about its axis at a constant rate of 1100 revolutions per minute. Determine the angular speed of the disk in radians per second. I get angular displacement / Time = 360rad/.0545454s 180=pi*rad <= need help figuring out radians...
  20. E

    What is the Angular Speed of a Pulsar?

    A pulsar is a rapidly rotating neutron star that continuously emits a beam of radio waves in a searchlight manner. Each time the pulsar makes one revolution, the rotating beam sweeps across the earth, and the Earth receives a pulse of radio waves. For one particular pulsar, the time between two...
  21. E

    Minimum Angular Speed for Safe Ride on ROTOR

    The ROTOR is an amusement park ride where people stand against the inside of a cylinder. Once the cylinder is spinning fast enough, the floor drops out. If the coefficient of friction is 0.42 and the cylinder has a radius of 2.5m, what is the minimum angular speed of the cylinder so that the...
  22. tony873004

    How Does Angular Velocity Relate to Radians and Hertz?

    velocity = 0.5 m/s radius = 1 m \omega = \frac{v}{r} \omega = \frac{0.5 m/s}{1 m} the meters cancel and I'm left with \omega = 0.5 s But \omega is supposed to be expressed in radians/s How do I get those output units with the given input units?
  23. A

    Angular speed question right away

    angular speed question! please help right away! a pencil, 15.7 cm long, is released from a vertical position with the eraser end resting on a table. The eraser does not slip. Treat the pencil like a uniform rod. what is the angular speed of the pencil just before it hits the table? i know...
  24. E

    Angular speed of rod with 2 masses seems EZ but NOT

    :cry: Why can't I get this obviously KE is conserved so I use I(initial) x Angular speed(initial)=I(final) x Angular speed(final) A uniform rod of mass 3.05×10-2kg and length 0.440m rotates in a horizontal plane about a fixed axis through its center and perpendicular to the rod. Two small...
  25. C

    Angular Velocity and Angular speed ?

    I have a book that gives a formulae Angular Speed as same as the Angular Velocity...is that true? From what i understand, speed is a scalar quantity...so it only have the magnitude value while velocity is a vector quantity which also shows the direction. Also, will the average angular...
  26. B

    I really - angular speed and speed at equilibrium position

    I really need help !- angular speed and speed at equilibrium position Problem 1. A 5.00-kg block free to move on a horizontal, frictionless surface is attached to one end of a light horizontal spring. The other end of the spring is held fixed. The spring is compressed 0.100m from equilibrium...
  27. H

    A solid ball - kinetic energy and angular speed

    A solid ball of mass 1.30 kg and diameter 19.0 cm is rotating about its diameter at 65.0 rev/min. What is its kinetic energy? Also, if an additional 2.60 J of energy are supplied to the rotational energy, what is the new angular speed of the ball?
  28. N

    How Do I Solve These Angular Speed Physics Problems?

    I have a couple problems that I have started but don't quite know where to go with them. If someone could respond ASAP it would be greatly appreciated as one of them will probably appear on a test tomorrow :) Thanks! 1) A potters wheel (a thick stone disk with a radius of .500 m and a mass...
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