Table of Contents
- 1 What is the speed of transverse wave on a stretched string?
- 2 On what factors does the speed of a transverse wave in a stretched string depends?
- 3 What is the velocity of a transverse wave?
- 4 How do you calculate wave speed?
- 5 What determines the velocity of a transverse wave in a string?
- 6 What is the relationship between tension and mass density of string?
What is the speed of transverse wave on a stretched string?
Speed of transverse wave on stretched string is v=√Tμ where T is the tension of the string and μ is the mass per unit lengthof the string.
What is the formula for velocity of wave in a stretched string?
Strategy. The speed of the wave can be found from the linear density and the tension v=√FTμ. v = F T μ . From the equation v=√FTμ, v = F T μ , if the linear density is increased by a factor of almost 20, the tension would need to be increased by a factor of 20.
On what factors does the speed of a transverse wave in a stretched string depends?
The speed of transverse wave v in a stretched string depends on tension T in the string and linear mass density (mass per unit length ) μ.
What does the speed of a wave along a string depend on?
The speed of a wave on a string depends on the square root of the tension divided by the mass per length, the linear density. In general, the speed of a wave through a medium depends on the elastic property of the medium and the inertial property of the medium.
What is the velocity of a transverse wave?
We know that the velocity of a transverse wave is: v = √T/μ. μ = linear mass density (mass per unit length (ml) measured in Kg/m.
How do you find the velocity of a transverse wave?
Since velocity is the rate of change of position, the transverse velocity in the y direction is given by the derivative of the displacement with respect to time: v(x,t) = ∂y(x,t)/∂t = -Aω cos (k x – ω t + φ) where k = 2π/λ is called the wave number and ω = 2πf as before.
How do you calculate wave speed?
Wave speed is the distance a wave travels in a given amount of time, such as the number of meters it travels per second. Wave speed is related to wavelength and wave frequency by the equation: Speed = Wavelength x Frequency. This equation can be used to calculate wave speed when wavelength and frequency are known.
What is the transverse velocity?
The component of a object’s velocity that is perpendicular to our line of sight. The breakdown of a star’s velocity v into the radial vr and transverse vT components.
What determines the velocity of a transverse wave in a string?
The velocity of a transverse wave in a stretched string is directly proportional to square root of tension in the string and inversely proportional to square root of linear mass density. Linear mass density is mass of the string per unit length of the string.
What is the relationship between wave speed and tension?
As you can see the wave speed is directly proportional to the square root of the tension and inversely proportional to the square root of the linear density. As the tension increases the wave speed increases and as the linear density increases the wave speed decreases which seems reasonable.
What is the relationship between tension and mass density of string?
It is directly proportional to the square root of tension in the stretched string and inversely proportional to the root of mass density of the string. Where [math]u [/math] is the mass density (mass per unit length as we assume it to be a very fine string).
What does the velocity of a mechanical wave depend on?
The velocity of the mechanical wave depends on the elasticity and inertia of the medium. We can create a transverse wave on a stretched string. The speed of a wave depends on the distinctiveness of the medium.