A particular strain sensor is mounted to an aircraft wing that is subjected to periodic wind gusts. The strain measurement system indicates a periodic strain that ranges from 3250 x 10⁻⁶ in./in. to 4150 x 10⁻⁶ in./in. at a frequency of 1Hz.

(a) Determine the average value of this signal.
(b) Determine the amplitude and the frequency of this output signal when expressed as a simple periodic function.
(c) Determine a one-term Fourier series that represents this signal.
(d) Construct an amplitude spectrum plot for the output signal.