What is the underdamped frequency of an oscillation?

In summary, the damped frequency of a mass attached to a spring in underdamped oscillation can be calculated using the formula ω^2=( ω1 )^2 -(∂/2m)^2, where ω is the damped angular frequency, ω1 is the natural angular frequency, ∂ is the frictional coefficient, and m is the mass attached to the spring. This damped angular frequency remains constant throughout the oscillations, even though the oscillation itself may not have a constant angular frequency. This is different from other possibilities, where there may be no oscillations at all.
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A mass is attached to a spring in underdamped oscillation, the damped frequency is ω^2=( ω1 )^2 -(∂/2m)^2
where ω is the damped angular frequency
ω1 is the natural angular frequency
∂ frictional coefficient
m is the mass attached to the spring

is the damped angular frequency is constant throughout the oscillations ( I mean the angular oscillation is constant until the oscillation stop)
I think the oscillation should not oscillate with constant angular damped frequency. but the formula of damped oscillation is not varies with time so is that constant??

thank you.
 
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FAQ: What is the underdamped frequency of an oscillation?

What is the underdamped frequency of an oscillation?

The underdamped frequency of an oscillation refers to the frequency at which an underdamped system oscillates. In other words, it is the frequency at which the amplitude of the oscillation gradually decreases over time.

How is the underdamped frequency calculated?

The underdamped frequency can be calculated using the formula ω = √(k/m), where ω is the underdamped frequency, k is the spring constant, and m is the mass of the system.

What factors affect the underdamped frequency?

The underdamped frequency is affected by the spring constant and mass of the system. A higher spring constant or a lower mass will result in a higher underdamped frequency.

What are some real-life examples of underdamped oscillations?

Some examples of real-life underdamped oscillations include a mass-spring system, a pendulum, and a swinging door. These systems exhibit underdamped oscillations due to the combination of a restoring force and a dissipative force.

How does the underdamped frequency differ from the natural frequency?

The underdamped frequency and natural frequency are often used interchangeably, but they are not exactly the same. The natural frequency refers to the frequency at which a system oscillates with no external force or damping present, while the underdamped frequency takes into account the effects of damping. In a perfectly underdamped system, the natural frequency and underdamped frequency would be equal.

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