A standing wave pattern on a string is described byy(x, t) = 0.040 (sin 5px)(cos 40pt),where x and y are in meters and t is in seconds. For x > 0, what isthe location of the node with the (a) smallest, (b) second smallest,and (c) third smallest value of x? (d) What is the period of theoscillatory motion of any (nonnode) point? What are the (e)speed and (f) amplitude of the two traveling waves that interfereto produce this wave? For t > 0, what are the (g) first, (h) second,and (i) third time that all points on the string have zero transversevelocity?
Interference of sound
Seiche
A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.
A standing wave pattern on a string is described by
y(x, t) = 0.040 (sin 5px)(cos 40pt),
where x and y are in meters and t is in seconds. For x > 0, what is
the location of the node with the (a) smallest, (b) second smallest,
and (c) third smallest value of x? (d) What is the period of the
oscillatory motion of any (nonnode) point? What are the (e)
speed and (f) amplitude of the two traveling waves that interfere
to produce this wave? For t > 0, what are the (g) first, (h) second,
and (i) third time that all points on the string have zero transverse
velocity?
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