Home
Class 12
PHYSICS
A string has linear density mu=525 g//m ...

A string has linear density `mu=525 g//m` and is under tension `tau=45N`. We send a sinusoidal wave with frequency f=120Hz and amplitude `y_(m)=8.5` mm along the string. At what average rate does the wave transport energy?

Text Solution

AI Generated Solution

To find the average rate at which the wave transports energy along the string, we can use the formula for the average power (P) transmitted by a sinusoidal wave on a string: \[ P = \frac{1}{2} \mu v \omega^2 A^2 \] where: - \( P \) = average power (in watts) - \( \mu \) = linear density of the string (in kg/m) - \( v \) = speed of the wave (in m/s) ...
Promotional Banner

Topper's Solved these Questions

  • WAVES-I

    RESNICK AND HALLIDAY|Exercise Checkpoint|8 Videos

  • WAVES-I

    RESNICK AND HALLIDAY|Exercise Problems|60 Videos

  • WAVE - II

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (INTEGER TYPE)|5 Videos

  • WORK, POWER, AND ENERGY

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Integer Type)|5 Videos

Similar Questions

Explore conceptually related problems

A string having mass/length 1gm//m is having a tension of 40N. A transverse wave is generated in it which has a frequency of 100Hz and amplitude of 1mm. What is the average rate at which energy is flowing through any cross section?

A piano wire with mass 3.00 g and length 80.0 cm is stretched with a tension of 25.0 N. A wave with frequancy 120.0 Hz and amplitude 1.6 mm travels along the wire. (a) calculate the average power carried by the wave. (b) what happenes to the avarage power if the wave amplitude is halved?

A tuning fork of frequency 440 Hz is attached to a long string of linear mass density 0.01 kg m^-1 kept under a tension of 49 N. The fork produces transverse waves of amplitude 0.50 mm on the string. (a) Find the wave speed and the wavelength of the waves. (b) Find the maximum speed and acceleration of a particle of the string. (c) At what average rate is the tuning fork transmitting energy to the string ?

Power supplied to a vibrating string: A string with linear mass density mu=5.00xx10^(-2) kg//m is under a tension of 80.0 N. how much power must be supplied to the string to generate sinusoidal waves at a frequancy of 60.0 HZ and an amplitude of 6.00 cm?

A 200 Hz wave with amplitude 1 mm travels on a long string of linear mass density 6 g//m keep under a tension of 60 N . (a) Find the average power transmitted across a given point on the string. (b) Find the total energy associated with the wave in a 2.0 m long portion of the string.

The tension in a string with a linear density of 0.0010 kg/m iş 0.40 N. A 100 Hz sinusoidal wave on this string has a wavelength of

A transverse harmonic wave is propagating along a taut string. Tension in the string is 50 N and its linear mass density is 0.02 kg m^( –1) The string is driven by a 80 Hz oscillator tied to one end oscillating with an amplitude of 1mm. The other end of the string is terminated so that all the wave energy is absorbed and there is no reflection (a) Calculate the power of the oscillator. (b) The tension in the string is quadrupled. What is new amplitude of the wave if the power of the oscillator remains same? (c) Calculate the average energy of the wave on a 1.0 m long segment of the string.

A string of length 0.5m and linear density 10^(-4) kg/m is stretched under a tension of 100 N. If the frequency of the vibration of the string is 4000 Hz, how many loops are formed on the string?

A string of linear density 0.2kg/m is stretched with a force of 500 N. If a transverse wave of wavelength 4m and amplitude (1//pi) metre is travelling along it, then the speed of the wave will be