Answer Checking: Unit 1 Waves Chapter 1

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SUMMARY

This discussion focuses on wave properties, specifically amplitude, wavelength, speed, frequency, and the differences between transverse and longitudinal waves. Key calculations include determining the wavelength as 1.6m from three cycles over 4.8m, and the wave speed calculated at 0.8m/s. The frequency is established at 0.5Hz, with further calculations showing a wavelength of 0.4m when frequency is 2Hz. The distinction between wave types is clarified, emphasizing the perpendicular and parallel vibrations associated with transverse and longitudinal waves, respectively.

PREREQUISITES
  • Understanding of wave properties such as amplitude, wavelength, and frequency.
  • Familiarity with basic physics equations, including speed, frequency, and period calculations.
  • Knowledge of wave types: transverse and longitudinal waves.
  • Ability to interpret and analyze wave diagrams and data.
NEXT STEPS
  • Study the relationship between wave speed, frequency, and wavelength in different mediums.
  • Explore the mathematical derivations of wave equations, including ƒ=1/T and T=1/ƒ.
  • Investigate real-world applications of wave properties in fields such as acoustics and optics.
  • Learn about the effects of energy on wave frequency and wavelength.
USEFUL FOR

Students studying physics, educators teaching wave mechanics, and anyone interested in understanding the fundamental properties of waves and their applications in various scientific fields.

Codav
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1. I'll just post the entire question list for this chapter in image format.

http://imgur.com/retjkzJ1.
i) The amplitude is the measurement of the wave from the equilibrium point to the trough or crest of a wave. The wavelength is the measurement of two successive points of a wave.

ii) There are three cycles in this wave. Three cycles have traveled a total of 4.8m. Therefore:
λ=4.8/3
λ=1.6m
The wavelength is 1.6m

iii)The time for the wave to travel 4.8m is 6s.
Speed Equation: Δd/Δt=v
4.8m/6s=0.8m/s
The wave's speed is 0.8m/s
Finding Frequency
v=λ*ƒ
0.8m/s=1.6m*ƒ
0.8m/s/1.6m=ƒ
ƒ=0.5Hz
The frequency is 0.5Hz.

iv) Speed remains the same because the wave is traveling the same distance over the same amount of time (4.8m over 6s).
Speed is 0.8m/s
Finding the wavelength: We know frequency is now 2Hz.
v=λ*ƒ
0.8m/s=λ*2Hz
0.8m/s/2Hz=λ
λ=-0.4m
The wavelength is 0.4m.
The higher the energy, the larger the frequency and the shorter the wavelength.

2) Differences:
Transverse waves have perpendicular vibration to the direction of the wave. Longitudinal waves have parallel vibration to the direction of the wave. They both have wavelength, amplitude and frequency.

The wavelength is the measurement between two successive points of a wave. The amplitude is the measurement of a wave from the equilibrium point to the trough or a crest of a wave. They both refer to properties of a wave.

The period is the time for a wave to complete one cycle. The frequency is how often particles vibrate when a wave passes through the medium. The two equations are complimentary:
ƒ=1/T, T=1/ƒ3)http://imgur.com/4zkNzqn4) 16 cycles in 8s.
T=Δt/N
T=8/16
T=.5s
The period is .5s
ƒ=1/T
ƒ=1/.5s
ƒ=2Hz
The frequency is 2Hz
How long would it take the pendulum to complete 5 cycles?
1 cycle=.5s
0.5s*5=2.5s
It would take the pendulum 2.5s to complete 5 cycles.
 
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For the most part it looks good, but I'm not so sure about your definition of frequency in #2 part iii, or however you want to label it.
 

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