**Transcription for Educational Website:**---**Using the values you calculated in the table, determine the average wave speed & the average wave speed uncertainty. Then use those values to determine the range (max & min values) for the wave speed.**- Average wave speed = [____] ± [____]- Max wave speed = [____]- Min wave speed = [____]--- **Explanation:**This section instructs students on calculating the average wave speed and its uncertainty from given data. It emphasizes determining the maximum and minimum values of the wave speed, which are crucial for understanding the variability and reliability of the measurements. Students are expected to fill in the blanks with the relevant calculations. **Part 1: Hanging Mass = 308 g**A mass of 308 g was hung from the string, generating three different harmonics. The harmonics are illustrated in the Setup column, with the string in red. The frequency of each harmonic and the frequency uncertainty (\(σ_f\)) are provided. You can determine the harmonic by counting the lobes. To establish the wavelength (\(λ\)) for each harmonic, the zero end of the blue 4-meter stick must align with the left end of the string to measure the wave length. Two lobes equal one wave. The wavelength uncertainty (\(σ_λ\)) estimates how much your wavelength measurement could vary. Lastly, determine the wave speed and its uncertainty using the formula for wave speed uncertainty:\[σ_v = σ_f λ + σ_λ f\]where \(v\) is the wave speed uncertainty, \(σ_f\) is the frequency uncertainty, and \(σ_λ\) is the wavelength uncertainty.**Table:**| **Trial** | **Setup** | **n** | **f (Hz)** | **σ_f (Hz)** | **λ (m)** | **σ_λ (m)** | **v (m/s)** | **σ_v (m/s)** ||-----------|-----------|-------|------------|--------------|----------|------------|------------|---------------|| 1 | ![First Harmonic Setup](images/first_harmonic.png) | 6 | 49.9 | 0.1 | | | | || 2 | ![Second Harmonic Setup](images/second_harmonic.png) | 8 | 66.5 | 0.1 | | | | || 3 | ![Third Harmonic Setup](images/third_harmonic.png) | 9 | 74.8 | 0.1 | 1.1 | | | |**Using the calculated values, find the average wave speed and average wave speed uncertainty.**- **Average wave speed:**- **Maximum wave speed:**- **Minimum wave speed:** Fill in the above data using observations and calculations to complete the table and determine the wave speed's range.

Answered: Image /qna-images/answer/68c51dc9-0132-46bc-9a42-a2def3b80496.jpg

A mass of 308 g was hung from the string and three different harmonics were generated in the string. This is shown below in the Setup column (the string is red). The frequency of each harmonic and the frequency uncertainty (₁) has been given. You can determine the harmonic by counting the lobes. To determine the wavelength of each harmonic, the zero end of the blue 4-meter stick has been exactly lined up with the left end of the string so that all you need to do is measure how long that first wave is (Remember, 2 lobes = 1 wave). For the wavelength uncertainty, this is your estimation of how much your measurement of the wavelength could be off by. Last, determine the wave speed and its uncertainty. The formula for the wave speed uncertainty is below (ay is the wave speed uncertainty, is the frequency uncertainty, & , is the wavelength uncertainty). Trial 1 2 2 2 Setup 3 n av=o₁²+10₁ 2 of (Hz) (Hz) (m) 49.9 0.1 66.5 0.1 74.8 0.1 σi (m) V (m/s) ov (m/s) Using the values you calculated in the table, determine the average wave speed & the average wave speed uncertainty. Then use those values to determine the range (max & min values) for the wave speed. average wave speed= max wave speed=

A mass of 308 g was hung from the string and three different harmonics were generated in the string. This is shown below in the Setup column (the string is red). The frequency of each harmonic and the frequency uncertainty (₁) has been given. You can determine the harmonic by counting the lobes. To determine the wavelength of each harmonic, the zero end of the blue 4-meter stick has been exactly lined up with the left end of the string so that all you need to do is measure how long that first wave is (Remember, 2 lobes = 1 wave). For the wavelength uncertainty, this is your estimation of how much your measurement of the wavelength could be off by. Last, determine the wave speed and its uncertainty. The formula for the wave speed uncertainty is below (ay is the wave speed uncertainty, is the frequency uncertainty, & , is the wavelength uncertainty). Trial 1 2 2 2 Setup 3 n av=o₁²+10₁ 2 of (Hz) (Hz) (m) 49.9 0.1 66.5 0.1 74.8 0.1 σi (m) V (m/s) ov (m/s) Using the values you calculated in the table, determine the average wave speed & the average wave speed uncertainty. Then use those values to determine the range (max & min values) for the wave speed. average wave speed= max wave speed=

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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