the wave speed of a string of length L with both ends fixed is v=600 m/s . the frequency of oscillation of the standing wave with three antinodes is f=1200 hz. find the length of the string.
Three anti nodes means that the string is vibrating in the 3rd
(n=3) harmonic with frequency
. The wave speed
does not depend on the harmonic level.
We can calculate the frequency of the fundamental harmonic (n=1) by:
The fundamental frequency and velocity of wave are related by:
the wave speed of a string of length L with both ends fixed is v=600 m/s...
A standing wave on a string that is fixed at both ends has frequency 80.0 Hz. The distance between adjacent antinodes of the standing wave is 16.0 cm. What is the speed of the waves on the string, in m/s?
A string that is fixed at both ends has a length of 2.01 m. When the string vibrates at a frequency of 87.1 Hz, a standing wave with six loops is formed. (a) What is the wavelength of the waves that travel on the string? m (b) What is the speed of the waves? m/s (c) What is the fundamental frequency of the string? Hz
A string that is fixed at both ends has a length of 2.50 m. When the string vibrates at a frequency of 85.0 Hz, a standing wave with five loops is formed. What is the speed of the waves?
A string that is fixed at both ends has a length of 2.88 m. When the string vibrates at a frequency of 79.2 Hz, a standing wave with five loops is formed. (a) What is the wavelength of the waves that travel on the string? (b) What is the speed of the waves? (c) What is the fundamental frequency of the string?
A string that is fixed at both ends has a length of 2.05 m. When the string vibrates at a frequency of 74.8 Hz, a standing wave with five loops is formed. (a) What is the wavelength of the waves that travel on the string? (b) What is the speed of the waves? (c) What is the fundamental frequency of the string?
You generate a standing wave on a 1-m long string, fixed on both ends, by forcing it to vibrate at 100 Hz. When doing so, the standing wave has a wavelength of 1 m. According to the wave equation, v=Af, the speed of the wave along the string is 100 m/s. Suppose the forcing frequency is doubled to 200 Hz, without changing the length, tension or ends of the string. What is the new wavelength and wave speed? A. The...
A string of length 48 cm is held fixed at both ends such that waves travel along the string with a speed of 85 m/s. What must the frequency of a standing wave be for the closest node to the end of the string to be 16 cm from the end? a) 1060 Hz b) 782 Hz c) 531 Hz d) 354 Hz e) 266 Hz
The figure shows a standing wave on a string of length
L = 1.20 m with fixed ends oscillating at frequency
f = 450 Hz. Answer the following questions.
1. What is the speed of wave propagation in the
string?
2. The linear mass density of the string is ? = 10.0 g/m. (Note
the units.) What is the tension FT in the
string?
3. The tension in the string is changed to
F'T = 324 N. What does the...
A string of mass 20 grams and length 5.0 meters is fixed at both ends and tightened until the tension becomes 1000 N. What is the frequency of the standing wave shown in the figure? 150 Hz 300 Hz 450 Hz 600 Hz
A string 3.30 m long and fixed at both ends is vibrating in its third harmonic. The maximum displacement of any point on the string is 4.00 mm. The speed of transverse waves on this string is 59.5 m/s. (a) What are the wavelength and frequency of this standing wave? wavelength m frequency Hz (b) Write the wave function for this standing wave.