- #1
Soaring Crane
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A horizontal string of length 1.5 m vibrates with a wave velocity of 1320 m/s at its fundamental freq.
a. What is the fund. freq.?
Do I use the formula f_1 = v/4L?
b. What is the freq. of the 4th overtone and how many nodes and antinodes will it have?
To find 4th's freq. use f_n = 4*f_1?
Since this is 4th overtone, are there 6 nodes and 5 antinodes?
(assuming for 4th 5 positive crests on basic diagram for all situations)
c. In terms of interference to what do the nodes and antinodes correspond?
this is conceptual, right?
nodes - locations where string appears motionless due to destructive interference
antinodes - where string has greatest displacement due to constructive displacement.
d. how many g must string be to have a tension of 10^5 N?
Just use v = sqrt[F/(m/L)]
a. What is the fund. freq.?
Do I use the formula f_1 = v/4L?
b. What is the freq. of the 4th overtone and how many nodes and antinodes will it have?
To find 4th's freq. use f_n = 4*f_1?
Since this is 4th overtone, are there 6 nodes and 5 antinodes?
(assuming for 4th 5 positive crests on basic diagram for all situations)
c. In terms of interference to what do the nodes and antinodes correspond?
this is conceptual, right?
nodes - locations where string appears motionless due to destructive interference
antinodes - where string has greatest displacement due to constructive displacement.
d. how many g must string be to have a tension of 10^5 N?
Just use v = sqrt[F/(m/L)]