please help, will rate thanks Transverse waves traveling along a string have the following properties. Amplitude...
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Transverse waves traveling along a string have the following properties.
Amplitude of the wave = 2.2 mm
Wavelength of the wave = 0.15 m
Speed of the wave = 343 m/s
Determine the time for a particle of the string to move through
a total distance of 1.5 km.
1 s
Homework Answers
The frequency = v / lambda = 343 / 0.15
= 2286.7 Hz
The particle moves four times the amplitude in one period
average transverse velocity v = (4 * 2.2 * 10-3) * 2286.7
= 20.12 m/s
It will travel 1.5 km in t = d/v = 1500 / 20.12
= 74.54 s.
T = wavelength/v = 0.15/343 = 4.373e-4
in 1 T the particle travells a distance of 4A = 8.8 mm
time taken to travel a distance of 1.5 km
t = (4.373e-4*1500)/8.8e-3 = 74.54s
Since the period is the reciprocal of the frequency, the expression 1/f can be substituted into the above equation for period.
Speed = Wavelength
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