A string of length L vibrates at its fundamental frequency. The amplitude at a point (1/4)L from one end is 4.10 cm.
What is the amplitude of each of the traveling waves that form this standing wave?
* Can someone help me figure out how to solve this???
2007-12-06 19:24:01 · 3 answers · asked by Professor 1 in Science & Mathematics ➔ Physics
This might help
http://physics.westmont.edu/courses/p007/review/ch8/
Good Luck,
Gio
2007-12-06 19:34:33 · answer #1 · answered by Gio_D 2 · 0⤊ 0⤋
The rms of a sine wave with a hypothetical peak-to peak value of –1 to 1 will be 0.707. This can be used to extrapolate that any rms amplitude = 0.707 x peak amplitude. Peak amplitude = 1.414 x rms amplitude.
I hope tis is some help.
*Good Luck*
2007-12-06 19:40:35 · answer #2 · answered by Anonymous · 1⤊ 0⤋
@ fundamental frequency, L = λ/2
The amplitude of the standing wave as a function of length is Asin(Ïl/L).
Asin(Ï/4) = 4.10 cm
A â (4.10 cm) / sin(Ï/4)
A â 5.798276 cm
The amplitude of the traveling waves is (1/2)A â 2.899138 cm â 2.90 cm
2007-12-06 19:43:37 · answer #3 · answered by Helmut 7 · 0⤊ 0⤋