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Standing Waves on a String: a Heavy Stone of Mass

question 24

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Standing waves on a string: A heavy stone of mass m is hung from the ceiling by a thin 8.25-g wire that is 65.0 cm long. When you gently pluck the upper end of the wire, a pulse travels down the wire and returns 7.84 ms later, having reflected off the lower end. The speed of sound in the room is 344 m/s, and the stone is heavy enough to prevent the lower end of the wire from moving. If the wire is vibrating in its second overtone, what is the frequency of the sound it will produce?

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Definitions:

Population Mean

The average of a set of values or measurements in the entire population.

Critical Value

A specific position in the test distribution used for comparison with the test statistic in order to make a decision about rejecting the null hypothesis.

Confidence Interval

A range of values, derived from the sample data, that is likely to contain the value of an unknown population parameter with a certain degree of confidence.

Sample Size

The number of observations or datapoints collected in a subset of a larger population.