The vertical position, y, of any point on a rope that supports a transverse wave travelling horizontally is given by the equation: y = 0.5 sin(4rt + 5x) with x and y in meters and t in seconds. Find the: g. angular wave number h. Does this wave travel in the +x or -x direction?

The vertical position, y, of any point on a rope that supports a transverse wave travelling horizontally is given by the equation: y = 0.5 sin(4rt + 5x) with x and y in meters and t in seconds. Find the: g. angular wave number h. Does this wave travel in the +x or -x direction?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 1CQ: Give one example of a transverse wave and one example of a longitudinal wave, being careful to note...

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Concept explainers

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.

Question

The vertical position, y, of any point on a rope that supports a transverse wave travelling
horizontally is given by the equation:
y = 0.5 sin(4rt + 5x)
with x and y in meters and t in seconds. Find the:
g. angular wave number
h. Does this wave travel in the +x or -x direction?

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