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Terms in this set (15)
What type of wave is produced when you whip a string up and down with one end fixed?
A transverse wave is produced, where oscillations are perpendicular to the direction of propagation.
What two factors determine the propagation speed of a wave on a string?
The propagation speed depends on the type of wave and the characteristics of the medium, specifically the tension and mass per unit length of the string.
What is the formula for the speed of a wave on a string?
The speed is given by v = sqrt(T/μ), where T is the tension and μ is the mass per unit length.
How do you calculate the mass per unit length (μ) of a string?
μ is calculated by dividing the mass of the string by its length.
If a string has a tension of 100 N, a mass of 5 kg, and a length of 1.2 m, what is its mass per unit length?
The mass per unit length is 5 kg / 1.2 m = 4.17 kg/m.
What equation relates wave speed, wavelength, and frequency?
The equation is v = λf, where v is speed, λ is wavelength, and f is frequency.
What types of energy are carried by waves on a string?
Waves on a string carry both kinetic energy (due to motion) and potential energy (due to stretching).
What three characteristics of a wave affect the energy it carries on a string?
The energy depends on the frequency, amplitude, and wavelength of the wave.
For a wave on a string, how do the kinetic and potential energies compare?
The kinetic and potential energies are equal for a wave on a string.
What is the formula for the energy per unit wavelength carried by a wave on a string?
It is E = 1/2 μ ω² A² λ, where μ is mass per unit length, ω is angular frequency, A is amplitude, and λ is wavelength.
How do you find the total energy carried by a wave along a string of given length?
Multiply the energy per wavelength by the number of wavelengths that fit in the string's length.
How do you calculate the number of wavelengths on a string?
Divide the total length of the string by the wavelength.
How is the power carried by a wave on a string related to energy and period?
Power is the energy per wavelength divided by the period, or equivalently, energy per unit time.
How do you convert angular frequency (ω) to linear frequency (f)?
Divide the angular frequency by 2π: f = ω / (2π).
If you know the power, mass per unit length, amplitude, and speed of a wave on a string, how can you solve for the required frequency?
Rearrange the power formula to solve for angular frequency, then convert to linear frequency using f = ω / (2π).