To calculate the maximum displacement in simple harmonic motion (SHM) when given the frequency and amplitude, you can use the formula:
Maximum Displacement (A) = Amplitude (A)
The maximum displacement in SHM is equal to the amplitude of the oscillation. The amplitude represents the maximum distance from the equilibrium position that an object moves during its oscillation.
The frequency does not directly affect the maximum displacement in SHM. It determines the rate at which the object oscillates, which is the number of complete cycles or oscillations per unit of time (usually measured in hertz, Hz). The frequency is related to the period (T) of the oscillation through the equation:
Frequency (f) = 1 / Period (T)
The period is the time taken for one complete cycle of oscillation. The relationship between frequency and period is inverse, meaning that as the frequency increases, the period decreases, and vice versa. However, neither frequency nor period directly influences the maximum displacement.