Sound Waves Example Math

For example if you know anything about playing a piano the note a above middle c produces a wave shaped like.

Sound waves example math. Calculate the speed of the wave. Y x t asin kx wt 0 2m sin 6 28m 1x 1 57s 1t find the amplitude wavelength period and speed of the wave. A transverse wave on a taut string is modeled with the wave function. Velocity frequency wavelength.

50 hertz means 50 times per second. The air molecules themselves do not move very far but wave of high density air moves at the speed of sound roughly 770 miles per hour. To represent such cyclic behavior mathematically think of the air pressure at a listener s location as a function of time described by a sine wave or sinusoid. A wave has a frequency of 165 hz and a wave length of 2 m.

We can think of these as having the shape of sine waves. Describe a method for measuring the speed of sound waves in air. Humans can hear sounds between about 20 hz and 20 000 hz depending on the human. If you figure out the period of this function using the theorem from class you ll see that this wave has 440 complete cycles every second.

Below 20 hz is called infrasound infra means below and above 20 000 hz is ultrasound ultra means beyond. Whenever you play an instrument or listen to your stereo you re listening to sound waves. One example is sound. You can try it yourself.

Calculate the speed of the wave.