Mandolin Case
A look at what is currently available on eBay
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physics help please. please provide steps?
Two identical mandolin strings under 200 N of tension are sounding tones with frequencies of 577 Hz. The peg of one string slips slightly, and the tension in it drops to 190 N. How many beats per second are heard?
A commuter train blows its horn as it passes a passenger platform at a constant speed of 55.0 m/s. The train horn sounds at a frequency of 350 Hz when the train is at rest.
(a) What is the frequency observed by a person on the platform as the train approaches?
(b) What is the frequency observed by a person on the platform as the train recedes from him?
(c) What wavelength does the observer find in each case?
Hi - I just found your question, so I'm afraid I don't have time to answer all the parts of it, but here's the first part (if you repost the rest I'll be happy to take a crack at it):
Whatever the change in tension, the frequency changes by the square-root of that factor (i.e., 4 times the tension yields 2 times the frequency - see the first link below). So:
190/200 = .95
square-root of .95 = about .975
and .975 x 577 Hz = about 563 Hz.
The beat frequency is twice the difference in the two frequencies (see the second link below):
F = 1/2 (f1-f2)
= 1/2 (577-563)
= 1/2 (14)
= 7 beats per second.
Hope this helps!
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