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Find the Period (T), frequency (f), velocity (v), and mass (m) for this fixed standing wave? help! hw due soon?
A vibrating string 56.0 cm long is under a tension of 1.80 N. The results from five successive stroboscopic pictures are shown in the figure . The strobe rate is set at 3.60×10^4 flashes per minute, and observations reveal that the maximum displacement occurred at flashes 1 and 5, with no other maxima in between.
Heres a picture that is given: http://session.masteringphysics.com/problemAsset/1...
thanks so much!
Question also asked for wavelength and normal mode which I got right.
wavelength = .56 m
n = 2
1 Answer
- WaheedLv 61 decade agoFavorite Answer
The picture shows on complete vibration, in duration of Four flashes:
As the string is 56 cm long the wave length is 56/100 = 0.56 m
duration for four flashes = Period (T) = (4*60 ) / (3.6*10^4) = 0.00667 s..........ans
Frequency (f) = 1/ period = 1 / 0.00667 = 150 Hz..................................ans
Velocity (v) = Wave length x frequency = 0.56 * 150 = 84 m/s.....................ans
v = ( T / ( m /L) )^0.5 where L = wave length /2 = 0.56/2 = 0.28 m
84 ^2 = ( 1.8 *0.28) / m
m = ( 1.8 *0.28) / (84^2) = 7.143 x 10^-5 Kg.............................ans
