In this worksheet, we will practice comparing superimposed waves of similar frequencies to calculate the beat frequency resulting from their superposition.
The middle C hammer of a piano hits two strings, producing beats of frequency 1.50 Hz. One of the strings is tuned to 260.00 Hz. What frequencies could the other string have?
- A261.00 Hz and 258.00 Hz
- B260.50 Hz and 258.50 Hz
- C261.50 Hz and 259.50 Hz
- D260.50 Hz and 259.50 Hz
- E261.50 Hz and 258.50 Hz
A string of linear mass density and length , is fixed at both ends and is under a tension of 155.00 N. It oscillates in the mode and produces sound. A tuning fork is ringing nearby, producing a beat frequency of 23.76 Hz.
What is the frequency of the sound from the string?
What is the frequency of the tuning fork if the tuning fork frequency is lower?
What should be the tension of the string for the beat frequency to be zero?
A string with a linear mass density of 0.00620000 kg/m is stretched between two posts 1.30000 m apart. The tension in the string is 150.000 N. The string oscillates and produces a sound wave. A 1,024.00 Hz tuning fork is struck and the beat frequency between the two sources is 52.83 Hz.
What is the frequency of the wave on the string?
What is the wavelength of the wave on the string?
Twin jet engines on an airplane are producing an average sound frequency of 4,100.000 Hz. The engines produce a beat frequency of 0.500 Hz. What are the engines’ individual frequencies?
- A4,099.750 Hz and 4,100.550 Hz
- B4,099.570 Hz and 4,100.520 Hz
- C4,099.570 Hz and 4,100.250 Hz
- D4,099.570 Hz and 4,100.750 Hz
- E4,099.750 Hz and 4,100.250 Hz