Loading...
unit length on the frequency of a vibrating string or wire Practical activities have been safety checked but not trialled by CLEAPSS Users may need to adapt the risk assessment information to local circumstances Sample data At a constant frequency of 56 Hz ? 2 0 A graph of T against ?2 gives a value for µ of 3 4 gm–1 T/N ?/m 1 0 0 277
In Part B use the wave driver to vary the frequency but keep the length and tension constant Use DataStudio or ScienceWorkshop to control the frequency of the wave driver Plot a graph of frequency vs n to determine the linear mass density of the string Compare the values of linear mass density for all three methods SAFETY REMINDER •
4 Make a table containing the quantities Tension, Wavelength, and Wavelength Squared 5 Plot a graph with Wavelength Squared on the vertical axis and Tension on the horizontal axis Using a straightedge, draw the straight line which best represents the plotted points and passes through the origin Is the graph linear, within experimental error?
6 Read the value of the tension off the PC or calculator attached to the force sensor 7 Record the tuning fork frequency and the tension of the wire in the table 8 Repeat steps 3 – 7 for every tuning fork 9 Plot a graph of frequency f against T Note A short length of drinking straw can also be used as a very light rider Slit the
5 Increase the value of the tension (in steps of 4 N, for example) and again increase the applied a c frequency until resonance occurs 6 Record the frequency and tension values in a table 7 Repeat the procedure to obtain at least six readings 8 Plot a graph of frequency f against the square root of tension T Draw a straight
the standing wave and the tension in the string along with the frequency of oscillation of the string Introduction: When a stretched string is plucked, it will vibrate in its fundamental mode in a single segment with nodes on each end If the string is driven at this fundamental frequency, a standing wave is formed Standing waves also
density3, ?, and the tension, T Using a setup similar to Fig 10 2 the string is put under tension by running it over a pulley and hanging a mass on the end The tension, T, is then given by T = mg (10 5) Knowing the amount of tension T and the string’s density ?, the speed c of the transverse wave can be found from: c = s T ? (10 6)
(iii) From the graph estimate the length of the string when its fundamental frequency is 256 Hz Solution: (i) Frequency is dependent on length and tension
study the relation between string tension and wavelength of such waves and directly proportional to the square of the wave velocity, since the frequency is will test this prediction by plotting a graph of wavelength squared versus tension
A wire of length 4 35 m and mass 137 g is under a tension of 125 N A standing For a tube open at on end, the standing waves frequencies obey the formula