| Figure P15.14 shows history graphs of two different points...

Name: Problem 14, Chapter 15: College Physics: A Strategic Approach
Uploaded: 2020-11-09T15:32:21-08:00
Duration: 2 min 51 s
Channel: Sheh Lit Chang
Description: | Figure P15.14 shows history graphs of two different points on a string as a wave pulse moves along the string. The blue curve is the history graph for the point at x = 1.0 cm, and the green curve is for the point at x = -3.0 cm. What is the velocity (including the correct sign for its direction) of this wave?

| Figure P15.14 shows history graphs of two different points on a string as a wave pulse moves along the string. The blue curve is the history graph for the point at x = 1.0 cm, and the green curve is for the point at x = -3.0 cm. What is the velocity (including the correct sign for its direction) of this wave?

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Key Concepts

Wave Velocity

Wave velocity refers to the speed at which a disturbance or pulse travels through a medium. It is calculated by determining the distance the wave travels over a certain time interval, often using the slope from a space-time diagram or history graph. This concept is fundamental in understanding how quickly and in which direction energy is transmitted through the medium.

History Graphs and Space-Time Diagrams

History graphs plot the displacement of points on a string versus time at fixed spatial locations. By comparing the time at which a wave pulse reaches different points (different x values), one can determine the velocity of the pulse. The slope in a space-time diagram, which is the ratio of the change in position to the corresponding change in time, is directly related to the wave's velocity.

Directional Sign Convention in Wave Propagation

When evaluating wave motion, it is important to incorporate the sign of the velocity to indicate its directional sense. A positive velocity typically indicates motion in one specified direction (commonly to the right), while a negative velocity indicates motion in the opposite direction (commonly to the left). This sign convention is essential for accurately describing the behavior of waves and their propagation direction.

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