Answer:
sin ( 2π(270)*t )
Explanation:
Solution:-
- The frequency of the hum is denoted as k = 270 Hz.
- The displacement of the hum is modeled by a sinusoidal function.
- The trigonometric modelling of frequency generating systems is given in the following general form:
sin ( w*t ) + c
- Where,
A: The amplitude of displacement e
w: The angular speed of the hum
c : The initial condition of displacement.
- Here, we will assume A = 1 and c = 0. The hum starts from time t = 0 seconds.
- The angular speed is the unit of speed that denotes the number of cycles in radians are undergone by the frequency generator device/person in unti time t.
- The angular speed is given by the following relation:
w = 2πk
w = 2π(270).
- The general model of the hum would be:
sin ( 2π(270)*t )