Angula velocity Definition and 9 Discussions

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  1. S

    I Where did I go wrong in deriving quantized energy?

    OK, so I just want to show ω = E/h = kv, but I keep running into errors, I don't know why. So, let's start with momentum: p^2 / 2m = E p^2 = 2mE p = sqrt(2mE) h/λ = sqrt(2mE) hk = sqrt(2mE) k = sqrt(2mE)/h So far so good. Now let's start with conserved Energy E= ½ mv^2 2E/m = v^2 v =...
  2. jschim

    Oscillating Spring in a Frictionless pulley system

    1. Draw Free body Diagram for each weight. 2. Solve for Tension in Rope. 3. Find Spring Constant. 4. Find omega (w, or angular velocity)
  3. Prabs3257

    Rotating pendulum

    is this eqn correct
  4. olgerm

    Angular speed that breaks a spinning body apart with inertial stress

    How to find the angular speed, on which a spinning hollow cylindrical body breaks due to inertial stress(force)? I found 2 sources( (last 2 equations) ...
  5. C

    Circular Constant Acceleration Formula

    A constant tangential force of magnitude 12N is applied to the rim of a stationary, uniform circular flywheel of mass 100kg and radius 0.5m. Find the speed at which the flywheel is rotating after it has completed 25 revolutions? I know that this can be done using work-energy. But since a...
  6. P

    Angular and linear velocity question

    I have a question, let’s say I’m holding a long piece of wood such as. 1’ x 6’ plank and I’m rotating it in a circle by spinning around with my hands extended, I suddenly let go, what happens to the velocity of the wood since every point on the wood that is a different distance from the center...
  7. S

    When a particle is rotating about an axis "r" away, is its linear velocity constant?

    If talking about a particle rotating around an axis away from it by r. if the particle is moving with constant angular velocity ω. is the linear velocity constant or no? Now what I know is that since we have Vt= ωr, so r doesn't change, as well as ω, so Vt is said to be constant. but I think...
  8. Phylosopher

    Bead on a Helix, angular velocity

    Homework Statement Homework Equations $$\mathcal{L}=T-U$$ $$\omega= \frac{d\phi}{dt}$$ $$I=mr^{2}$$ The Attempt at a Solution My problem is not finding the Lagrangian. But finding the kinetic energy! The translational kinetic energy would obviously be the following: $$K.E...
  9. Z

    How to find the final angular velocity

    Homework Statement 4 persons each with mass m stand out on the edge of the carousel that rotates with angular velocity W0. carousel has mass 4m, radius r and inertia I = 2mr^2. The 4 persons then go all the way to the center of the carousel. Show that the final angular velocity W1 = 3W0 See...