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Vibration
Published in M Rashad Islam, A K M Monayem H Mazumder, Mahbub Ahmed, Engineering Dynamics, 2022
M Rashad Islam, A K M Monayem H Mazumder, Mahbub Ahmed
where ωn=km is the undamped natural angular frequency and C1 and C2 are constants of integration whose values are determined from the initial conditions. The angular frequency (ωn) of an object undergoing periodic motion measures the rate at which a particle sweeps through a full 360 degrees, or 2π radians. It refers to the angular displacement per unit time and is expressed as rad/sec. If the initial conditions are denoted as x(0) = xo and x˙0=vo, then: xt=xocosωnt+voωnsinωnt
Waves and electromagnetic radiation
Published in Andrew Norton, Dynamic Fields and Waves, 2019
Here, ω is the angular frequency, given by ω = 2π/T, where T is the period (or equivalently ω = 2πf, where f is the frequency). A more general graph of y against t is shown in Figure 2.11c. This has been shifted to the left by t0 compared with Figure 2.11b, and may be described by the equation y(t)=A sin (ωt+ωt0).
Seismic site amplification and wave energy
Published in Takaji Kokusho, Innovative Earthquake Soil Dynamics, 2017
It is proportional to angular frequency ω $ \omega $ and inversely proportional to the lateral spring constant kG $ _{G} $ .
Conductivity relaxations and phase purity in strontium cobalt oxides prepared by numerous chemical routes
Published in Journal of Dispersion Science and Technology, 2021
Tanveer Akhtar, M. Anis-ur-Rehman
Wayne Kerr LCR meter 6440B was utilized for the impedance measurement of the synthesized samples with respect to change in frequency (20 Hz–3 MHz) at room temperature. Impedance spectroscopic technique was commonly utilized to describe electrical characteristics of the materials and their interfaces. Impedance is a complex function of frequency: where (Z) is the total impedance. (Z′) and (Z") are real and imaginary impedances of the material. ω = 2πf is the angular frequency. Impedance spectroscopic analysis can be presented typically in a complex plane graphs i.e. Nyquist plots, the impedance (Z′), modulus plots (M′), permittivity (ε′) and dissipation factor or dielectric loss (DF).
A reconfigurable wireless superheterodyne receiver for multi-standard communication systems
Published in International Journal of Electronics, 2023
Qing Wang, Yongle Wu, Yue Qi, Weimin Wang
Where A(t) is the amplitude of the received RF signal, ωRF is its angular frequency, and θ(t) is its initial phase. The relationship between angular frequency and frequency satisfies ω = 2πf, and the following formulas all use angular frequency.
Design and implementation of DDCC-based fractional-order oscillator
Published in International Journal of Electronics, 2019
Shalabh Kumar Mishra, Maneesha Gupta, Dharmendra Kumar Upadhyay
where , in which is the angular frequency in radians/second. Therefore, the above relation can be further rewritten as