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A transverse wave described by equation y=0.02sinx+30t (where x and t are in metre and sec. respectively) is travelling along a wire of area of cross-section 1 mm2 and density 8 g/cc. What is the tension in the string? (in Newtons)

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answer is 0007.20.

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Detailed Solution

GivenArea of cross section A=1 mm2A=10−6 m2 We use y=0.02sinx+30t for the given wave: Wave Speed, v=ωk=30m/s We have wave speed v=Tμ⇒T=μv2=AρV2=10−6 m28×103 kg/m3(30)2⇒T=7.2 N

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A transverse wave described by equation y=0.02sinx+30t (where x and t are in metre and sec. respectively) is travelling along a wire of area of cross-section 1 mm2 and density 8 g/cc. What is the tension in the string? (in Newtons)