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(4πt + 5TTX) with x and y in meters and t in seconds. Find the: a. amplitude b. angular frequency c. frequency

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(4πt + 5TTX) with x and y in meters and t in seconds. Find the: a. amplitude b. angular frequency c. frequency

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter17: Traveling Waves

Section: Chapter Questions

Problem 70PQ

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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(4πt + 5TX)
with x and y in meters and t in seconds. Find the:
a. amplitude
b. angular frequency
c. frequency
d. period
e.
wavelength
f. wave speed
g. angular wave number
h. Does this wave travel in the +x or -x direction?

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