A standing wave can be described as the following equation:
Where A(x) can be defined as
A(x) is a sine function, thus certain points on the function would
have zero amplitude.
Points where A(x)=0 are called nodes
Points that move with the maximum possible amplitude are call
HOW TO CALCULATE LOCATION OF
NODES AND ANTINODES
Location of nodes: Location of antinodes
Identify nodes and antinodes from the given graph:
The allowed frequencies
are called harmonics or
resonant frequencies and
is represented by the
A violin string is 0.52m long and has a linear mass
density of 3.58 x 10^(-4) kg/m. The tension in the
string is kept at 100.0N.
a) What is the wave speed in the string?
b) By what amount should the tension be changed
to decrease the fundamental frequency by 10
(Hint: first find the original fundamental frequency and then
Amount of tension needs to be changed: 3.5N