In this investigation, students are able to determine simple harmonic motion with real-life examples and obtain a graph of the sinusoidal function
. The graph allows students to determine period and frequency as well as the value of acceleration due to gravity.
When the parameters in the sinusoidal function
are estimated, then the cycle or period ([OMEGA]) can be computed as [OMEGA] = [absolute value of 2[pi]/[rho]], if 0 < [rho] < 1 (Brockwell & Davis 2010).
Fitting a sinusoidal function
to the daily and seasonally grouped MDT data resulted in a good correlation quantified by the squared Pearson correlation coefficient ([r.sup.2]) and root-mean-square error (RMSE): (i) seasonally grouped data: [r.sup.2]= 0.9821, RMSE = 50.25, and (ii) daily grouped data: [r.sup.2] = 0.4885, RMSE = 26.21.
* oscillating processes described with sinusoidal functions
of time, and/or
In this case, the vertical movement would be modelled by a sinusoidal function
and horizontal by a linear (energy moves with a constant forward velocity).
The changes of output mass flow rate and output composition fluctuation with time were predicted for various time dependent input modes such as step function and sinusoidal function
inputs into the second feeder and other ports part way along the length of the machine.
As shown in Figure 2c, plots of orientation rates (d[theta]/dt) against orientation angle ([theta]) fit well to the sinusoidal function
of Equation 11.
For example, with M = 20, results obtained with Tchebychev polynomials are in poorer agreement compared to Bessel and sinusoidal functions
, even though the residuals of the Bessel function are less than the sinusoidal function
Firstly, the reliability of the proposed algorithm should be proved by simulation, and the simulated ultrasonic signal is a declined Sinusoidal function