The linear density of a vibrating string is $$10-4$$ $$kg/m$$. A transverse wave is propagating on the string, which is described by the equation y $$=$$ $$0.02$$ $$sin$$ (x$$ $$+$$ $$30$$ $$t), where x and y are in metres and time t in seconds. Then tension in the string is

Question

The linear density of a vibrating string is $$10-4$$ $$kg/m$$. A transverse wave is propagating on the string, which is described by the equation y $$=$$ $$0.02$$ $$sin$$ (x$$ $$+$$ $$30$$ $$t), where x and y are in metres and time t in seconds. Then tension in the string is

Infinity Learn · Accepted Answer

y $$=$$ $$0.02$$ $$sin$$ (x$$ $$+$$ $$30t), Comparing with standard equation y $$=$$ A $$sin$$(Kx$$ $$+$$ $$wt), w $$=$$ $$30$$, K $$=$$ $$1Velocity$$ of wave, $$v=$$ω$$K=301=30$$ $$m/sv=Tmgives$$ Tension                T $$=$$ $$v2m$$ $$=$$ $$(30)2$$ × $$10-4$$                        $$=$$ $$0.09$$ N

The linear density of a vibrating string is $10^{- 4}$ kg/m. A transverse wave is propagating on the string, which is described by the equation y = 0.02 sin (x + 30 t), where x and y are in metres and time t in seconds. Then tension in the string is

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The linear density of a vibrating string is 10-4 kg/m. A transverse wave is propagating on the string, which is described by the equation y = 0.02 sin (x + 30 t), where x and y are in metres and time t in seconds. Then tension in the string is

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Ready to Test Your Skills?

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The linear density of a vibrating string is $10^{- 4}$ kg/m. A transverse wave is propagating on the string, which is described by the equation y = 0.02 sin (x + 30 t), where x and y are in metres and time t in seconds. Then tension in the string is