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The circle and its properties
Published in John Bird, Bird's Higher Engineering Mathematics, 2021
The unit of angular velocity is radians per second (rad/s). An object rotating at a constant speed of n revolutions per second subtends an angle of 2πn radians in one second, i.e. its angular velocity ω is given by: ω=2πnrad/s
The circle and its properties
Published in John Bird, Higher Engineering Mathematics, 2017
The unit of angular velocity is radians per second (rad/s). An object rotating at a constant speed of n revolutions per second subtends an angle of 2πn radians in one second, i.e. its angular velocity ω is given by: ω=2πnrad/s
Variable Frequency Drives
Published in Claiton Moro Franchi, Electrical Machine Drives, 2019
Rotational acceleration (ra) is the rate of change of angular speed, generally, in radians per second squared (rad/sec2). () ra=angularspeedchangetimechange⋅(rad/sec2)
Interface stress effect tuning and enhancing the energy dissipation of staggered nanocomposites
Published in Philosophical Magazine, 2020
Cezhou Chao, Peng Yan, Zhiyuan Lu, Leiting Dong
Load-bearing biological materials, as shown in Figure 1, can be considered as nanocomposites consisting of elastic mineral platelets and a viscoelastic biopolymer matrix [33]. In this case, such nanocomposites also exhibit viscoelastic behaviour from a macroscopic viewpoint. The behaviour of viscoelastic materials, such as the biopolymer matrix and homogenised nanocomposites, is different from that of elastic solids. It is dependent on time and frequency [34]. To define the effective dynamic properties of viscoelastic nanocomposites, a harmonic test under cyclic average strain is considered, which can be expressed as: [3]where is the strain amplitude, , and is the angular frequency in radians per second and is associated with the frequency by .
Correction charts for soil layering and embedment of a vertically vibrating footing
Published in International Journal of Geotechnical Engineering, 2021
Where is the frequency in radians per second and is the shear wave velocity of the soil. The Approximate mass, spring and dashpot system is currently the accepted solution for a vertical excitation of a rigid circular footing on the elastic half-space. The method provides practising engineers a quick design and evaluation of the response of a rigid circular footing resting on the ground surface of a homogeneous soil and is subjected to vertical vibration. Following the determination of the spring constant and the damping ratio, the foundation response, such as the natural frequency, amplitude of vibration, etc., can then be determined (Das and Ramana 2010).
Effects of ground plane dimensions on patterns radiated by slot antennas
Published in International Journal of Electronics, 2019
S. Adeniyi Adekola, K. Akinwale Amusa
provided is the angular frequency in radians per second, is the free-space permittivity, is the dyadic Green’s function of free space, and are the un-primed and primed coordinates representing the field and source points, respectively. An time variation assumed has been suppressed here, and henceforth.