Relativistic effects cause the corresponding energy loss or gain on the time scale, it's not time dilation but error.
Any wave or oscillation carries energy, be it an electromagnetic wave or a mechanical wave. A wave or oscillating force is distorted under relativistic effects.
A change in electrical polarization is produced in materials when they are subjected to mechanical stress. This pressure-dependent change in polarization demonstrates as a measurable potential difference across the material. Piezoelectricity, known as the piezoelectric effect, is the presence of an electric potential voltage around a crystal when subjected to mechanical stress, including gravitational forces due to a gravitational potential difference. A piezoelectric sensor is governed by Newton's law of motion F = ma. The force sensed by the piezoelectric crystal is proportional to the seismic mass times the input acceleration. The greater the mass or acceleration, the greater the applied force and the greater the electrical output from the crystal.
(i). G-forces cause internal particles of matter to interact, resulting in stresses and deformation (strain).
(ii) The kinetic energy of a particle having a mass ‘m’ and travelling with velocity ‘v’ is given by the formula K.E = 1/2 mv². The velocity of the particle is directly related to the wavelength and the frequency of the wave of the particle. The frequency of the particle is given by the relation f = v/λ. Therefore, E = 1/2m.f²λ² or, f = 1/λ √(2E/mλ).
(iii) The total energy of the particle is proportional to the square of the frequency (f) = ω/2π, hence E ∝ f², where (ω) is the angular frequency. Angular frequency (ω), also known as circular frequency, measures angular displacement per unit time, in degrees (t°). 𝑓 = 1/𝑇 = 𝜔/2𝜋 => ω = 2π/T = 2𝜋f.
(iv). The energy of electromagnetic radiation (E) is directly proportional to its frequency (f). E = hf.
(v) Time interval T(deg) for 1° of phase is inversely proportional to frequency. We get a wave corresponding to the time shift. 1° phase shift = 𝑇/360 = (1/𝑓)/360. The time delay for a 1° phase shift with a frequency of 5 MHz and a wavelength of 59.95 m, 𝛥𝑡 = 555 𝑝𝑠.
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