Question

Definition of angular frequency of simple harmonic motion

Answer 1

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➡️ Each of these constants carries a physical meaning of the motion: A is the amplitude maximum displacement from the equilibrium position ω = 2πf is the angular frequency, and φ is the phase

➡️ By definition, if a mass m is under SHM its acceleration is directly proportional to displacement.


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Answer 2

Simple harmonic motion is any motion where a restoring force is applied that is proportional to the displacement and in the opposite direction of that displacement. Or in other words, the more you pull it one way, the more it wants to return to the middle. The classic example of this is a mass on a spring, because the more the mass stretches it, the more it feels a tug back towards the middle. A mass on a spring can be vertical, in which case gravity is involved, or horizontal on a smooth tabletop.


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 (e.g., in rotation) or the rate of change of the phase of a sinusoidal waveform (e.g., 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.