A wire with mass 100g is stretched so that its ends are tied down at points 92.0cm apart. The wire vibrates in its fundamental mode with frequency 70.0 Hz and with an amplitude of 0.500cm at the antinodes.
What is the speed of propagation of transverse waves in the wire?
What is the tension in the wire?
2007-11-27 17:36:38 · 2 answers · asked by KT 1 in Science & Mathematics ➔ Physics
You can find the information you need to solve this here:
http://en.wikipedia.org/wiki/Vibrating_string
First find the linear density µ = m/L
The fundamental mode frequency is given by
f = (1/2L)√[T/µ], where T is the tension. Sove for T.
Then the speed of propagation is v = √[T/µ]
2007-11-27 17:52:31 · answer #1 · answered by gp4rts 7 · 0⤊ 1⤋
Wavelenght = 92X2 = 184 cm
Speed = Frequency X wavelenght
=70X(184*10-2)
=128.8 ms^-1 .
2007-11-28 01:49:51 · answer #2 · answered by Murtaza 6 · 1⤊ 0⤋