00:01
So in this question we're asked to determine first the angular frequency, then the maximum velocity and then the maximum acceleration of the diaphragm of a loudspeaker, which is oscillating with simple harmonic motion.
00:12
And we're told that it has a frequency of oscillation of 440 hertz and a maximum displacement or amplitude of 0 .75 millimeters.
00:23
So that's right down what we're given.
00:24
So we're given the frequency, which is 440 hertz.
00:30
And the maximum displacement or amplitude, which is equal to 0 .075 meters, or 0 .75 millimeters.
00:43
So then for part a, we're asked to find the angular frequency, so omega is equal to 2 pi f, as we know.
00:49
And then if we substitute into this, so 2 pi by 440, we get that.
00:55
The angular frequency, omega, is equal to 5, it's equal to 2 ,765 rats per second.
01:13
Then for part b, we're asked to determine the maximum velocity.
01:17
So we know the velocity, the magnitude of the velocity is equal to omega times the amplitude by cost of omega t.
01:25
And it's the absolute value of that, since we're dealing in magnitude...