A string is producing transverse vibration whose equation is $y = 0.021\sin{(x + 30t)},$ Where $x$ and $y$ are in meters and $t$ is in seconds. If the linear density of the string is $1.3 imes 10^{- 4}kg/m,$ then the tension in the string is $N$ will be

Question

A string is producing transverse vibration whose equation is $y = 0.021\sin{(x + 30t)},$ Where $x$ and $y$ are in meters and $t$ is in seconds. If the linear density of the string is $1.3 	imes 10^{- 4}kg/m,$ then the tension in the string is $N$ will be

Dr. Abubacker · Accepted Answer

(d) $y = 0.021\sin{(x + 30t)} \Rightarrow v = \frac{\omega}{k} = \frac{30}{1} = 30\ m/s$
Using, $v = \sqrt{\frac{T}{m}} \Rightarrow 30 = \sqrt{\frac{T}{1.3 	imes 10^{- 4}}} \Rightarrow T = 0.117\ N$

Q. A string is producing transverse vibration whose equation is $y = 0.021\sin{(x + 30t)},$ Where $x$ and $y$ are in meters and $t$ is in seconds. If the linear density of the string is $1.3 \times 10^{- 4}kg/m,$ then the tension in the string is $N$ will be

Explanation

Reviewed by Dr. Abubacker

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