To determine the acceleration of a body undergoing simple harmonic motion (SHM), we need to know the equation governing SHM. In the case of SHM, the equation relating displacement (x) and acceleration (a) is:
a = -ω²x
Where ω represents the angular frequency of the motion. The angular frequency can be calculated using the formula:
ω = 2π / T
Where T is the period of the SHM.
Given that the period (T) is 11/7 seconds and the amplitude (x) is 0.025 meters, we can calculate the angular frequency (ω) as follows:
ω = 2π / (11/7) = 14π / 11
Now, we can calculate the acceleration (a) using the equation for SHM:
a = -ω²x = -(14π/11)² * 0.025
Evaluating this expression gives the acceleration of the body excited in SHM with the given parameters.