in mode oscillation period os equal to three times the
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resulting sound has a steady tone and lasts a long time. Each successive vibration of the string takes the same time as the previous one. We define periodic motion to be a motion that repeats itself at regular time intervals, such as exhibited by the guitar string or by an object on a spring moving up and down. The time to complete one oscillation remains constant and is called the period T. Its units are usually seconds, but may be any convenient unit of time. The word period refers to the time for some event whether repetitive or not; but we shall be primarily interested in periodic motion, which is by definition repetitive. A concept closely related to period is the frequency of an event. For example, if you get a paycheck twice a month, the frequency of payment is two per month and the period between checks is half a month. Frequency f is defined to be the number of events per unit time. For periodic motion, frequency is the number of oscillations per unit time. The relationship between frequency and period is
Oscillation period
Explanation:
- The smallest interval of time in which a system undergoing oscillation returns to the state it was in at a time arbitrarily chosen as the beginning of the oscillation.
- This is the precise definition of “period”. The period formula, T =2π√m/k, gives the exact relation between the oscillation time T and the system parameter ratio m/k.
Examples
- Double pendulum.
- Foucault pendulum.
- Helmholtz resonator.
- Oscillations in the Sun (helioseismology), stars (asteroseismology) and Neutron-star oscillations.
- Quantum harmonic oscillator.
- Playground swing.
- String instruments.
- Torsional vibration.
The frequency of oscillation is the number of full oscillations in one time unit, say in a second. A pendulum that takes 0.5 seconds to make one full oscillation has a frequency of 1 oscillation per 0.5 second, or 2 oscillations per second. So, the amplitude of oscillation is related to the energy of its motion.