Oscillator Weight 2. a. Your lab group is given a variable frequency oscillator and a string of m unknown linear density . You attach the string to a 0.450-kg weight and hang that over a pulley. Your teacher reminds you that the speed v of a trans- FT V m/L verse wave on a string is calculated using the equation v = where FT is the tension in the string. The vibrating portion of the string is 2.40 m long. You vary the frequency to create several different standing waves at different harmonics. You obtain the following data. Harmonic Frequency (Hz) 1st 24.0 2nd 47.9 3rd 72.5 4th 99.6 i. Which quantities (given in the table or calculated from them) could the students plot on the horizontal and vertical axes to obtain a linear graph that could be used to calculate the speed of the waves on the string? Use the empty spaces in the table to calculate any needed quantities. Horizontal axis , ii. Plot the indicated quantities on the following axes and draw a line of best fit to the data. Vertical axis,
Oscillator Weight 2. a. Your lab group is given a variable frequency oscillator and a string of m unknown linear density . You attach the string to a 0.450-kg weight and hang that over a pulley. Your teacher reminds you that the speed v of a trans- FT V m/L verse wave on a string is calculated using the equation v = where FT is the tension in the string. The vibrating portion of the string is 2.40 m long. You vary the frequency to create several different standing waves at different harmonics. You obtain the following data. Harmonic Frequency (Hz) 1st 24.0 2nd 47.9 3rd 72.5 4th 99.6 i. Which quantities (given in the table or calculated from them) could the students plot on the horizontal and vertical axes to obtain a linear graph that could be used to calculate the speed of the waves on the string? Use the empty spaces in the table to calculate any needed quantities. Horizontal axis , ii. Plot the indicated quantities on the following axes and draw a line of best fit to the data. Vertical axis,
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Transcribed Image Text:Oscillator
Weight
2. a.
Your lab group is given a variable frequency oscillator and a string of
unknown linear density .
L'
. You attach the string to a 0.450-kg weight and
hang that over a pulley. Your teacher reminds you that the speed v of a trans-
Fr
where FT
m/L
verse wave on a string is calculated using the equation v =
is the tension in the string. The vibrating portion of the string is 2.40 m long.
You vary the frequency to create several different standing waves at different
harmonics. You obtain the following data.
Harmonic
Frequency (Hz)
1st
24.0
2nd
47.9
3rd
72.5
4th
99.6
i. Which quantities (given in the table or calculated from them) could the
students plot on the horizontal and vertical axes to obtain a linear graph
that could be used to calculate the speed of the waves on the string? Use
the empty spaces in the table to calculate any needed quantities.
Horizontal axis
ii. Plot the indicated quantities on the following axes and draw a line of best
fit to the data.
Vertical axis
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