How to find resonant frequency

How to find resonant frequency

Resonant frequency of any fluctuation is equal to its own frequency. With this frequency also affect an oscillatory system for achievement of a resonance. To find the resonant frequency of the mathematical pendulum, measure its length, then make the corresponding calculations. In this way there is a resonant frequency of the spring pendulum, a string and oscillatory contour.

It is required to you

  • ruler or roulette, scales, dynamometer, the device for measurement of electric capacitance and inductance.

Instruction

1. Determination of resonant frequency mathematical and spring you mayatnikavozmit the mathematical pendulum (a body, small by the sizes, on rather long thread) and measure by a ruler or a roulette thread length. After that number 9.81 (value of acceleration of gravity), divide into pendulum thread length in meters, take a square root and result from the received number divide into 6.28. Resonant frequency of the mathematical pendulum will be the answer. For measurement of resonant frequency of the spring pendulum measure the mass of cargo on it by means of scales and learn rigidity of a spring. Divide value of rigidity of a spring into the mass of cargo, take a square root from result and divide number 6.28. Receive the resonant frequency of the spring pendulum. Affecting the pendulum with external fluctuation of the calculated frequency, it is possible to achieve a resonance (increase in amplitude of fluctuations).

2. Resonant frequency you strunynaydit the mass of a string by means of sensitive scales in kilograms. Then pull it on the tool, having measured by means of a dynamometer force of its tension in newtons. Measure by a ruler or a roulette its length. For calculation of resonant frequency divide force of a tension into the mass of a string and its length. Take a square root from the turned-out number, and divide result into 2. If to pull a string on the resonator with the same own frequency, volume of sound considerably will increase.

3. Resonant frequency oscillatory to a konturaizmerta inductance of the coil and electric capacitance of an oscillatory contour. For this purpose use the universal device with the corresponding settings. Multiply values of electric capacitance and inductance, take a square root from the received number, and divide result into 6.28. Having attached to this contour an oscillatory contour with a resonant frequency, it is possible to achieve significant increase in amplitude values of current.

Author: «MirrorInfo» Dream Team


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