Waves_Report

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Introductory Physics Laboratory Faculty of Science, Ontario Tech University Lab Report # IP-05: Vibrations and Waves Student’s name CRN 41352 Date October 4, 2023 Generator Frequency: ____1672 HZ_____ Activity #1: Sound wave oscillations at one selected point Max. Voltage U Period T Linear Frequency ν Angular Frequency ω Sensor A 1.71875V (8.8*10^-4) (2.8*10^-4) = 6*10^-4s f= 1/T f=1/0.0006 =1666.7v =2π(1666.7) =10471.97551 Activity #2: Sound wave oscillations at two selected point 1. Measuring the phase difference at an arbitrary distance between two sound sensors Distance _90.25cm_ Phase Difference φ _ 360°_ φ=(deltaT/T)*360 deltaT= (8.8*10^-4)-(2.8*10^-4)= 6*10^-4 T= 0.00124-(6.4*10^-4)= 6*10^-4 φ= (0.0006/0.0006)*360=1*360=360° φ= 360° Attach graph here 2. Measuring the wavelength (Distance between sensors for in phase vibrations) Wavelength λ __________90.25cm_______ Attach graph here 3. Measuring λ/2 (Distance between sensors for out of phase vibrations) λ /2 __________45.125cm_______________ λ __________90.25cm___________ Attach graph here 4. Calculating the wave number and the wave speed Wave Number _5.67rad/m_ 90.25cm= 0.9025m Lab Report # IP-05: Vibrations and Waves

Introductory Physics Laboratory Faculty of Science, Ontario Tech University K=2πλ  2π(0.9025)= 5.67057474rad/m Wave Speed _150419.68cm/v_ V= λ/T=λ*f = 90.25cm( 1666.7v )= 150419.675 Activity #1: Sound wave oscillations at one selected point Max. Voltage U Period T Linear Frequency ν Angular Frequency ω 0.82350V (6.4*10^-4) (3.6*10^-4) = 2.8*10^-4s f= 1/T f=1/0.00028 =3571.43v =2π(3571.43) =22439.9 Activity #2: Sound wave oscillations at two selected point 2. Measuring the phase difference at an arbitrary distance between two sound sensors Distance _54.5cm_ Phase Difference φ _ 168°_ 2. Measuring the wavelength (Distance between sensors for in phase vibrations) Wavelength λ ____54.5cm_______ 3. Measuring λ/2 (Distance between sensors for out of phase vibrations) λ /2 _____27.25cm_______________ λ __________54.5cm___________ 4. Calculating the wave number and the wave speed Wave Number _3.424rad/m_ 90.25cm= 0.545m K=2πλ  2π(0.545)= 3.424rad/m Wave Speed _194642.94cm/v_ V= λ/T=λ*f = 54.5cm( 3571.43v )= 194642.94 Lab Report # IP-05: Vibrations and Waves 2

Introductory Physics Laboratory Faculty of Science, Ontario Tech University Generator Frequency: _1223HZ__ Activity #1: Sound wave oscillations at one selected point Max. Voltage U Period T Linear Frequency ν Angular Frequency ω 1.23047V 0.00140-(6*10^-4) = 8*10^-4 =1/8*10^-4 =1250v =2π(1250) = 7853.98 Activity #2: Sound wave oscillations at two selected point 3. Measuring the phase difference at an arbitrary distance between two sound sensors Distance __12.25cm___ Phase Difference φ __ 360___ φ=(deltaT/T)*360 deltaT= (0.00140)-(6*10^-4)= 8*10^-4 T= 0.00140-(6.4*10^-4)= 8*10^-4 φ= (0.0008/0.0008)*360=1*360=360° φ= 360° 2. Measuring the wavelength (Distance between sensors for in phase vibrations) Wavelength λ ___12.25__ Attach graph here 3. Measuring λ/2 (Distance between sensors for out of phase vibrations) λ /2 __6.125__ λ ___12.25__ 4. Calculating the wave number and the wave speed Wave Number __0.7697rad/m_ K=2πλ  2π(0.1225)= 0.7697rad/m Wave Speed __15312.5__ V= λ/T=λ*f = 12.25cm( 1250v )= 15312.5 Activity #1: Sound wave oscillations at one selected point Max. Voltage U Period T Linear Frequency ν Angular Frequency ω Lab Report # IP-05: Vibrations and Waves 3

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Introductory Physics Laboratory Faculty of Science, Ontario Tech University 4.01367V = 4.4*10^-4 =1/4.4*10^-4 =2272.72v =2π(2272.72) = 14279.97 Activity #2: Sound wave oscillations at two selected point 4. Measuring the phase difference at an arbitrary distance between two sound sensors Distance __32.5cm___ Phase Difference φ __ 188°___ 2. Measuring the wavelength (Distance between sensors for in phase vibrations) Wavelength λ __32.5cm__ Attach graph here 3. Measuring λ/2 (Distance between sensors for out of phase vibrations) λ /2 __16.25__ λ ___32.5__ 4. Calculating the wave number and the wave speed Wave Number __2.04rad/m_ K=2πλ  2π(0.325)= 2.04rad/m Wave Speed __73295.22__ V= λ/T=λ*f = 32.25cm( 2272.72v )= 73295.22 Conclusions: This lab's purpose was to create sound waves as well as sound vibrations in order to study as well as measure the main variables in correlation with the oscillations and waves as well as the relationship between them. For the start of this lab procedure, the generator frequency was set to 1672 HZ, and it was at this frequency level that the frequency of the sound wave oscillations was measured. For the second part, the frequency was lowered to 1223 HZ. Possible misinterpretations from the graphs could create errors as well as improper use of equipment or even malfunctions within equipment and data systems, through the experiment it was found that when the generator frequency was greater (1672 Hz compared to 1223 Hz), the distance measured between the sound sensors was also greater. With this being discovered, it can be an indication that the frequency, as well as the distance measured between the sensors, would be key components in regard to the final results that would be produced. Please refer to the values in charts above for a better Lab Report # IP-05: Vibrations and Waves 4

Introductory Physics Laboratory Faculty of Science, Ontario Tech University understanding if you need to see the generator frequency at different values showing the effect on data collection. Lab Report # IP-05: Vibrations and Waves 5

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