Solution Found!
Answer: A fellow student with a mathematical bent tells
Chapter 15, Problem 28E(choose chapter or problem)
A fellow student with a mathematical bent tells you that the wave function of a traveling wave on a thin rope is \(y(x,t)=2.30\) mm \(\cos [(6.98 \mathrm{rad} / \mathrm{m}) x+(742 \mathrm{rad} / \mathrm{s}) t]\). Being more practical, you measure the rope to have a length of 1.35 m and a mass of 0.00338 kg. You are then asked to determine the following:
(a) amplitude
(b) frequency
(c) wavelength
(d) wave speed
(e) direction the wave is traveling
(f) tension in the rope
(g) average power transmitted by the wave.
Questions & Answers
QUESTION:
A fellow student with a mathematical bent tells you that the wave function of a traveling wave on a thin rope is \(y(x,t)=2.30\) mm \(\cos [(6.98 \mathrm{rad} / \mathrm{m}) x+(742 \mathrm{rad} / \mathrm{s}) t]\). Being more practical, you measure the rope to have a length of 1.35 m and a mass of 0.00338 kg. You are then asked to determine the following:
(a) amplitude
(b) frequency
(c) wavelength
(d) wave speed
(e) direction the wave is traveling
(f) tension in the rope
(g) average power transmitted by the wave.
ANSWER:
Solution 28E
Step 1:
The wavefunction of a travelling wave on a thin rope is