Question

The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation d= i.4 sin(1760rt). What is the maximum displacement of the tuning fork?

1) 0.2 mm
2) 0.4 mm
3) 0.8 mm
4) 2.5 mm

Answer 1

The maximum displacement of the tuning fork is 1.4 mm.

Step-by-step explanation:

The maximum displacement of the tuning fork can be determined by identifying the amplitude of the sine function in the equation provided. In the equation d = 1.4 sin(1760rt), the amplitude is 1.4. Therefore, the maximum displacement of the tuning fork is 1.4 mm.The maximum displacement occurs when the sine function reaches its maximum value of 1. The amplitude of the sine function in this case is

0.40.4, so the maximum displacement is

0.4×1=0.40.4×1=0.4 mm.