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A transverse wave on a string of linear mass density 0.07 kg/m is described by the equation y = 0.03 cos[2*pi*(t/0.08 - x/0.8)] (all quantities in SI units). What is the tension in the string?
- 14 N
- 3.5 N
- 7 N
- 70 N
Correct answer: 7 N
Solution
From the wave equation, omega = 2*pi/0.08 = 25*pi rad/s and k = 2*pi/0.8 = 2.5*pi rad/m, giving v = 10 m/s. Tension T = mu*v² = 0.07 * 100 = 7 N.
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