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Wave Motion Summary

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8 page summary on wave motion for FSK 116 (Physics for Engineering).

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  • June 21, 2022
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  • 2020/2021
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WAVE MOTION
Wave:
A disturbance traveling through a medium. Wave motion is the transfer of energy through
space without a transfer of matter.

Crest​ - a point at which the displacement of the element from its normal position is highest
Trough​ - lowest point

Looking at a string:
➔ Individual elements of the string are disturbed from
their equilibrium point
➔ As one element goes up, it pulls the next one up
➔ Each disturbed element of the string moves in the
vertical direction which is PERPENDICULAR to
direction of propagation
➔ No part of the string moves in direction of
propagation
➔ ∴transverse wave

Transverse Wave:​ displacement is perpendicular to the direction of travel; LIGHT WAVES
Longitudinal Wave:​ displacement is parallel to the direction of travel; SOUND WAVES

Properties:
➔ Wave Speed​ - how fast it travels through the medium
➔ Wavelength​ - the distance between two crests
➔ Frequency​ - the number of oscillations per second
➔ Amplitude​ - max displacement
➔ Intensity​ - depends on the energy the wave delivers
➔ Period​ - time interval required for an element of the medium to undergo a complete
cycle and return to its original position

, Doppler Effect:
the frequency and wavelength of a wave are shifted if there is relative motion between the
source and the observer of the waves.

A wave crest’s motion is governed by the properties of the medium.
➔ Nancy detects f+ which is higher than f0 (the natural frequency)
➔ Pablo detects f- which is lower than f0
➔ The frequencies heard by a stationary observer when the sound source is moving at
speed Vo is:




➔ The frequencies heard by an observer moving at speed v0 relative to a stationary
sound source emitting frequency f0 are

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