A sinusoidal wave is sent along a cord under tension, transportingenergy at the average rate of Pavg,1.Two waves, identical to thatfirst one, are then to be sent along the cord with a phase differencef of either 0, 0.2 wavelength, or 0.5 wavelength. (a) With only mentalcalculation, rank those choices of f according to the averagerate at which the waves will transport energy, greatest first. (b) Forthe first choice of f, what is the average rate in terms of Pavg,1?8 (a) If a standing wave on a string is given byy(t) = (3 mm) sin(5x) cos(4t),is there a node or an antinode of the oscillations of the string atx = 0? (b) If the standing wave is given byy(t) = (3 mm) sin(5x + p/2) cos(4t),is there a node or an antinode at x = 0?
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
f of either 0, 0.2 wavelength, or 0.5 wavelength. (a) With only mental
calculation, rank those choices of f according to the average
rate at which the waves will transport energy, greatest first. (b) For
the first choice of f, what is the average rate in terms of Pavg,1?
8 (a) If a standing wave on a string is given by
y
(t) = (3 mm) sin(5x) cos(4t),
is there a node or an antinode of the oscillations of the string at
x = 0? (b) If the standing wave is given by
y
(t) = (3 mm) sin(5x + p/2) cos(4t),
is there a node or an antinode at x = 0?
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