Answer:
Step-by-step explanation:
The amplitude of an oscillator that decreases by 2.20% during each complete oscillation can be modeled using the equation:
A = A0 * (0.978)^n
where A0 is the initial amplitude, n is the number of oscillations, and 0.978 is the factor by which the amplitude decreases during each oscillation (calculated as 1 - 0.0220).
To find the amplitude after 31.0 oscillations, we can substitute A0 = 13.2 cm and n = 31.0 into the equation:
A = 13.2 * (0.978)^31.0
A = 7.11 cm
Therefore, the amplitude after 31.0 oscillations is 7.11 cm.