Question

What is the "natural frequency" of an oscillator?

What is the "natural frequency" of an oscillator?

Homework Answers

Answer #1

In order for mechanical oscillation to occur, a system must posses two quantities: elasticity and inertia. When the system is displaced from its equilibrium position, the elasticity provides a restoring force such that the system tries to return to equilibrium. The inertia property causes the system to overshoot equilibrium. This constant play between the elastic and inertia properties is what allows oscillatory motion to occur. The natural frequency of the oscillation is related to the elastic and inertia properties by:

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A damped harmonic oscillator of mass m has a natural frequency ω0, and it is tuned...
A damped harmonic oscillator of mass m has a natural frequency ω0, and it is tuned so that β = ω0. a) At t = 0, its position is x0 and its velocity is v0. Find x(t) for t > 0 b)If x0 = 0.2 m and ω0 = 3 s−1 , obtain a condition on v0 necessary for the oscillator to pass through the equilibrium position (x(t) = 0) at a finite time t.
Classical Mechanics problem: The frequency of a damped harmonic oscillator is one-half the frequency of the...
Classical Mechanics problem: The frequency of a damped harmonic oscillator is one-half the frequency of the same oscillator with no damping. Find the ratio R of the maxima of successive oscillations
Two different simple harmonic oscillators have the same natural frequency (f=2.00 Hz) when they are on...
Two different simple harmonic oscillators have the same natural frequency (f=2.00 Hz) when they are on the surface of the Earth. The first oscillator is a pendulum, the second is a vertical spring and mass. If both systems are moved to the surface of the moon (g=1.67 m/s2), what is the new frequency of the vertical spring and mass?
Define natural circular frequency, natural cyclic frequency and natural period. Derive the necessary equations and draw...
Define natural circular frequency, natural cyclic frequency and natural period. Derive the necessary equations and draw necessary pictures.
Design an oscillator circuit (not a VCO) that oscillates with a frequency in the range of...
Design an oscillator circuit (not a VCO) that oscillates with a frequency in the range of 2-3 Mhz
In Classical Physics, the typical simple harmonic oscillator is a mass attached to a spring. The...
In Classical Physics, the typical simple harmonic oscillator is a mass attached to a spring. The natural frequency of vibration (radians per second) for a simple harmonic oscillator is given by ω=√k/m and it can vibrate with ANY possible energy whatsoever. Consider a mass of 135 grams attached to a spring with a spring constant of k = 1 N/m. What is the Natural Frequency (in rad/s) of vibration for this oscillator? In Quantum Mechanics, the energy levels of a...
4. A damped oscillator has a resonant frequency of 100 Hz, and a Q of 10....
4. A damped oscillator has a resonant frequency of 100 Hz, and a Q of 10. The oscillator is displaced by an amount 0.1 meter and let go. (a) Sketch its subsequent motion qualitatively on a plot showing amplitude (distance to the rest position, positive for one side, negative for the other) versus time. Be sure to label the axes in seconds and meters. (b) The same damped oscillator is driven with a strong sinusoidal drive of variable frequency. Sketch...
A stroboscope was used to determine the frequency of the string oscillator. Strobe frequencies fs were...
A stroboscope was used to determine the frequency of the string oscillator. Strobe frequencies fs were recorded where a single stationary image of the oscillating string was observed. The frequency of the oscillator f can be determined from the stroboscope frequencies fs by f = nfs where n is an integer corresponding to the number of oscillations per flash. The strobe frequencies produced were determined and tabled below: Strobe Frequency fs Hz Oscillations per flash n 23.2 m 15.3 m+1...
A stroboscope was used to determine the frequency of the string oscillator. Strobe frequencies fs were...
A stroboscope was used to determine the frequency of the string oscillator. Strobe frequencies fs were recorded where a single stationary image of the oscillating string was observed. The frequency of the oscillator f can be determined from the stroboscope frequencies fs by f = nfs where n is an integer corresponding to the number of oscillations per flash. The strobe frequencies produced were determined and tabled below: Strobe Frequency fs Hz Oscillations per flash n 24.2 m 16.7 m+1...
A stroboscope was used to determine the frequency of the string oscillator. Strobe frequencies fs were...
A stroboscope was used to determine the frequency of the string oscillator. Strobe frequencies fs were recorded where a single stationary image of the oscillating string was observed. The frequency of the oscillator f can be determined from the stroboscope frequencies fs by f = nfs where n is an integer corresponding to the number of oscillations per flash. The strobe frequencies produced were determined and tabled below: Strobe Frequency fs Hz Oscillations per flash n 22.9 m 15.2 m+1...