Question

Consider a string of length 1.0 meter, fixed at both ends, with mass 100 grams and tension 100 newtons. part a give the number of nodes and antinodes set up on the string if it is driven at a frequency of 95 hertz. be sure to include the ends of the string in your count. give the number of nodes followed by the number of antinodes, separated by a comma.

Answer 1

To answer the problem we would be using this formula which isv = sqrt(T/(m/L)) 
v = sqrt(100 N / [(0.100 kg)/(1.0 m)]) 
v = 31.62 m/s 
v = fλ 
31.62 m/s = (95 Hz)(λ) 
λ = 0.333 m 
For every wavelength along a string there will be 2 antinodes. 
1.0 m / 0.333 m = 3 
3 * 2 = 6 antinodes 
6 + 1 = 7 nodes