Question

A wave of sinusoidal form has a frequency of 1277 rads/s and an amplitude of 2.6 mm propagates along a cable with linear density of 2.4 g/m and tension 1250N.

(a) What is the average rate energy moved by the wave to the opposite end of the cable?

(b) an identical wave simultaneously travels along an adjacent cable, what is the total average rate at which energy is moved to the opposite ends of the two cables by the waves? Alternatively, the two waves are sent along the same cable simultaneously, what is the total average rate at which they move energy when they have a phase difference of 0 rad, .36pi rad, .86pi rad, pi rad?

Answer #1

A wave of sinusoidal form has a frequency 1275 rads/s
and a amplitude of 2.75 mm propagates along a cable with linear
density of 2.35 g/m and tension 1245N
(a) The average rate energy is moved by the wave to the opposite
end of the cable is?
(b) An identical wave, simultaneously travels along an adjacent
identical cable, what is the total average rate at which energy is
moved to the opposite ends of the two cables by the waves?
Alternatively,...

A sinusoidal wave is sent along a cord under tension,
transporting energy at the average rate of Pavg,1. Two waves,
identical to that first one, are then to be sent along the cord
with a phase difference φ of either 0, 0.2 wavelength, or 0.5
wavelength.
1) With only mental calculation, rank those choices of φ
according to the average rate at which the waves will transport
energy, greatest first.
2) For the first choice of φ, what is the...

A sinusoidal wave travels down a long string at a frequency of
800rad/s, a wavelength of .35m, an amplitude of 0.020m, and a
mass/length is 0.0050 kg/m.
a. What is the wave speed?
b. What is the power of the wave?
c. What is the energy per unit length?
d. What is the tension in the string?

Consider a loop in the standing wave created by two waves
(amplitude 5.86 mm and frequency 113 Hz) traveling in opposite
directions along a string with length 2.89 m and mass 129 g and
under tension 44.0 N. At what rate does energy enter the loop from
(a) each side and (b) both sides?
(c) What is the maximum kinetic energy of the
string in the loop during its oscillation?

Consider a loop in the standing wave created by two waves
(amplitude 5.58 mm and frequency 115 Hz) traveling in opposite
directions along a string with length 3.98 m and mass 145 g and
under tension 42.4 N. At what rate does energy enter the loop from
(a) each side and (b) both sides?
(c) What is the maximum kinetic energy of the
string in the loop during its oscillation?

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