Assignment #2

Running head: Assignment #2
Assignment #2
Name of the Student
Name of the University
Author Note

Assignment #21
1.
The graph of the function s(t) = Asin(2πft+ φ) is given below.
a) From the graph the co-ordinate of maximum value is R = (1/3,2).
Hence, the amplitude of the sine wave is 2. Also, the time difference between the successive
peaks R and T is 7/3 – 1/3 = 2 secs. Hence, the time period(T) of the sine wave is 2 secs.
Hence, frequency f =1/T = ½ = 0.5 hz.
Now, as the sine wave is periodic, the time difference between zero to half of peak value is
equal to the time difference between half of peak to peak value or PQ = QR.
Now, PQ = QR = 1/3 -0 = 1/3 secs. Hence, the phase lag of the sine wave is 1/3 radian (as the
signal is left shifted)
Hence, phase lag φ = 1/3 rad = 19.1 degrees.
Hence, the signal s(t) = 2sin(2π0.5t+ 19.1 deg) = 2sin(πt+ 19.1 deg)
b) At P point the signal is zero and time is -1/3 seconds.
Hence, P = (-1/3,0).