Determine the amplitude, radian frequency, and phase for the sinusoid shown in F

Question

Determine the amplitude, radian frequency, and phase for the sinusoid shown in Figure 1. When performing your calculations, be sure to include units. Your final answer should be in the form x(t) = Acos(omega_0 t + phi) To find the phase shift, use the fact that cos(omega_0 t + phi) = cos(omega_0 t + omega_0 t_1) where t_1 is the location of the first peak. The website provides the frequency ranges for a number of common sounds in the section titled Audio Frequencies. For each of the sound below, use the Shannon Sampling Theorem to determine the lower bound on the sample frequency required to accurately reconstruct the sound. piano human hearing

Explanation / Answer

1)amplitude is seen on y axis i.e maximum displacement

so a=15;

between 0 and 0.02 wave complete 1 cycle

so w=2*pi/0.02

so 15*cos(2*pi/0.02+phase)

for phase

subsititute t=0 and x=0;

we get 0=cos(phase)

phase =90 degree

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