Question
A loudspeaker diaphragm is vibrating in simple harmonic motion with a frequency of 430 Hz and a maximum displacement of 0.90 mm.
what is the max speed?
what is the max acceleration?
what is the max speed?
what is the max acceleration?
Answers
Damon
T = period = 1/430
for example if 0 at t = 0
y = .009 sin [2pi t/(1/430)] = .0009 sin( 860 pi t)
velocity = .0009 (860 pi) cos (860 pi t)
acceleration = -.0009 (860 pi)^2 sin(860 pi t)
the maximum of sine is 1 and the maximum of cosine is 1
for example if 0 at t = 0
y = .009 sin [2pi t/(1/430)] = .0009 sin( 860 pi t)
velocity = .0009 (860 pi) cos (860 pi t)
acceleration = -.0009 (860 pi)^2 sin(860 pi t)
the maximum of sine is 1 and the maximum of cosine is 1