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Question:

The equation of a wave on a string of linear mass density 0.04 kg/m is given by y = 0.02(m)sin[2π(t/0.04(s) - x/0.50(m))]. The tension in the string is?

6.25N

4.0N

12.5N

0.5N

Solution:

T = μv² = μ(ω/k)² = 0.04(2π/0.04)²(2π/0.50)² = 6.25N