using System; using L=Science.Physics.GeneralPhysics; namespace Serway.Chapter16 { /// /// Example02: Traveling Sinusoidal Wave /// A sinusoidal wave traveling in the positive x direction /// has an amplitude of 15.0 cm, a wavelength of 40.0 cm, and /// a frequency of 8.00 Hz. The vertical position of an element /// of the medium at t = 0 and x = 0 is also 15.0 cm, as shown in /// Figure 16.9. /// (A) Find the wave number k, period T, angular frequency \omega, /// and speed v of the wave. /// k = 0.157 rad/cm /// T = 0.125 s /// \omega = 50.3 rad/s /// v = 320 cm/s /// (B) Determine the phase constant \phi, and write a general /// expression for the wave function. /// \phi = 90^{\circle} /// y = 15 \cos(0.157 x - 50.3 t) /// public class Example02 { public Example02() { } private string result; public string Result { get{return result;} } public void Compute() { L.SinusoidalWave y = new L.SinusoidalWave(); y.Amplitude = 0.15; y.WaveLength = 0.4; y.Frequency = 8.0; y.PhaseConstant = Math.Asin(y.Amplitude/0.15); //(A) y.FindWaveNumberFromWaveLength(); result+=Convert.ToString(y.WaveNumber)+"\r\n"; y.FindPeriodFromFrequency(); result+=Convert.ToString(y.Period)+"\r\n"; y.FindAngularFrequencyFromFrequency(); result+=Convert.ToString(y.AngularFrequency)+"\r\n"; y.FindSpeedFromWaveLengthFrequency(); result+=Convert.ToString(y.Speed)+"\r\n"; //(B) result+=Convert.ToString(y.PhaseConstant*180/Math.PI)+"\r\n"; } } } /* 15.707963267949 0.125 50.2654824574367 3.2 90 */