Sinusoidal waves $5.00 \mathrm{cm}$ in amplitude are to be transmitted along a string that has a linear mass density of $4.00\times {10}^{-2} \mathrm{kg}/\mathrm{m}.$. The source can deliver a maximum power of $300 \mathrm{W}$ and the string is under a tension of $100 \mathrm{N}$. What is the highest frequency at which the source can operate?

A sinusoidal wave on a string is described by the wave function$y=(0.15 \mathrm{m})\sin (0.80x-50t)$ where $x$ and $y$ are in metres and $t$ is in seconds. The mass per unit length of this string is $12.0 \mathrm{g} {\mathrm{m}}^{-1}$. Determine the power transmitted to the wave.

A sinusoidal wave on a string is described by the wave function$y=(0.15 \mathrm{m})\sin (0.80x-50t)$ where $x$ and $y$ are in metres and $t$ is in seconds. The mass per unit length of this string is $12.0 \mathrm{g}/\mathrm{m}$. Determine

the speed of the wave,

A sinusoidal wave on a string is described by the wave function, $y=(0.15 \mathrm{m})\sin (0.80x-50t)$ where $x$ and $y$ are in metres and $t$ is in seconds. The mass per unit length of this string is $12.0 \mathrm{g} {\mathrm{m}}^{-1}$. Determine the frequency. 

A transverse harmonic wave is propagating along a taut string. Tension in the string is $50 \mathrm{N}$ and its linear mass density is $0.02 \mathrm{kg}{ \mathrm{m}}^{-1}$. The string is driven by a $80 \mathrm{Hz}$ oscillator tied to one end oscillating with an amplitude of $2 \mathrm{mm}$. The other end of the string is terminated so that all the wave energy is absorbed and there is no reflection. Calculate the power of the oscillator.

A transverse harmonic wave is propagating along a taut string. Tension in the string is $50 \mathrm{N}$ and its linear mass density is $0.02 \mathrm{kg}{ \mathrm{m}}^{-1}$. The string is driven by a $80 \mathrm{Hz}$ oscillator tied to one end oscillating with an amplitude of, $2 \mathrm{mm}$. The other end of the string is terminated so that all the wave energy is absorbed and there is no reflection. The tension in the string is quadrupled. What is the new amplitude of the wave if the power of the oscillator remains the same?

A transverse harmonic wave is propagating along a taut string. Tension in the string is $50 \mathrm{N}$ and its linear mass density is $0.02 \mathrm{kg}{ \mathrm{m}}^{-1}$. The string is driven by a $80 \mathrm{Hz}$ oscillator tied to one end oscillating with an amplitude of $2 \mathrm{mm}$. The other end of the string is terminated so that all the wave energy is absorbed and there is no reflection. Calculate the average energy of the wave on a $1.0 \mathrm{m}$ long segment of the string.