Can someone please tell me what applied uses surds have in Science?

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SUMMARY

Surds have significant applications in various scientific fields, particularly in physics and electrical engineering. In physics, surds are utilized in calculations involving constant acceleration, where the time taken for an object to travel a distance often results in irrational numbers. In electrical engineering, the concept of surds is crucial for understanding AC voltage, specifically the root mean square (RMS) value, where the amplitude of a sine wave is expressed as sqrt(2) times the peak voltage, such as 240 volts in Europe.

PREREQUISITES
  • Understanding of quadratic equations
  • Basic principles of physics, particularly motion under constant acceleration
  • Knowledge of electrical engineering concepts, specifically AC voltage
  • Familiarity with mathematical concepts involving irrational numbers
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  • Explore the applications of surds in quadratic equations
  • Study the physics of motion under constant acceleration
  • Learn about AC voltage and the significance of RMS values
  • Investigate the mathematical properties of irrational numbers and their applications
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Students and professionals in physics, electrical engineering, and mathematics, particularly those interested in the practical applications of surds in scientific calculations.

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Can someone please tell me what applied uses surds have in Science? Apart from Pythagoras?

Cheers,

Mick
 
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Whenever quadratics appear, surds are likely to be present also. One example would be in Physics to measure the time it takes an object undergoing constant acceleration (say, under the influence of gravity) to complete some distance, the time is likely to be irrational.

There are many places in which surds appear.
 


The mains AC voltage (e.g., 240v in Europe) is actually a sinewave which swings from a negative peak of sqrt(2) * 240 volts to a positive peak of sqrt(2) * 240 volts. This amplitude waveform, called 240 v RMS, makes an incandescent light bulb glow exactly as brightly as would a DC voltage of 240 volts.
 

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