Question

If the frequency of a system undergoing simple harmonic motion doubles, by what factor does the maximum value of acceleration change? group of answer choices

Answer 1

x = A sin ω t SHM with amplitude A

a = -ω^2 A sin ω t acceleration of particle shown above

ω = 2 π f

Double the frequency is double the angular frequency ω

Thus, if ω^2 is doubled the corresponding acceleration will be quadrupled