# The relationship between speed tension and mass density

### PhysicsLAB: Relationship Between Tension in a String and Wave Speed What tension will give a speed of m/s? 2. Relevant equations velocity= Squareroot(tension/linear density) linear density = mass/length 3. The string can vary in length, its tension and its linear density (mass / length). in the propagation speed with the string tension for a constant linear density. When the wave relationship is applied to a stretched string, it is seen that resonant velocity = sqrt (tension / mass per unit length) Illustration with a slinky. Therefore, other things being equal, a wave travels faster on a string whose particles have a small mass, or, as it turns out, on a string that has a small mass per unit length. The mass per unit length is called the linear density of the string.

The effects of the tension F and the mass per unit length are evident in the following expression for the speed v of a small-amplitude wave on a string: In these instruments, the strings are either plucked, bowed, or struck to produce transverse waves. Example 2 discusses the speed of the waves on the strings of a guitar. The effect of your adjustments on the wavelength of the wave is displayed, as is the time for the wave to travel the length of the string.

From the travel time you can assess how the speed of the wave depends on the mass of the string. The length of each string between its two fixed ends is 0.

### Wave speed, tension, linear density | Physics Forums

Each string is under a tension of N. Find the speeds of the waves on the two strings. Since the tension is the same for both strings, and smaller linear densities give rise to greater speeds, we expect the wave speed to be greatest on the string with the smallest linear density.

Solution The speeds of the waves are given by Equation Conceptual Example 3 offers additional insight into the nature of a wave as a traveling disturbance.

### The Speed of a Wave on a String

A string particle moves up and down in simple harmonic motion about the undisturbed position of the string. The speed of the particle vparticle changes from moment to moment as the wave passes. If the source of the wave e.

• Physics Study Guide/Standing waves

Moreover, the particle speed, unlike the wave speed, is not constant. As for any object in simple harmonic motion, the particle speed is greatest when the particle is passing through the undisturbed position of the string and zero when the particle is at its maximum displacement.

Data Collection The experiment will be performed on two fishing lines having different pound-tests or linear density. Record below the length of the first vibrating string segment - the heavy string.

Complete the following table by measuring calculating the required values for string one. Record below the length of the second vibrating string segment - the light string. Complete the following table by measuring calculating the required values for string two. Refer to the following information for the next three questions. Refer to the following information for the next seven questions.

## Homework Help: Wave speed, tension, linear density

What is the reciprocal of your heavy line's slope? What is the reciprocal of your light line's slope? Waves are created on two ropes, a thick rope and a thin rope.

If the tension on each of the ropes is the same, what is true about the wave speeds? The thick rope has a higher waves speed.

What Is MU In Waves?

The thin rope has a higher wave speed.