apply speed in a string \(\mathrm{V}^{\wedge} 2=\mathrm{T} / \mathrm{u}\)
where \(\mathrm{T}\) is tension and \(\mathrm{u}\) is mass per unit length
so \(\mathrm{V}^{\wedge} 2=1350 /(0.005)\)
\(\mathrm{V}^{\wedge} 2=270000\)
\(\mathrm{V}=519.615 \mathrm{~m} / \mathrm{s}\)
A piano string having a mass per unit length equal to 5.00 X 10-3 kg/m is...
a 2.0 m length of string with a mass density of 2.95 x 10^-4
kg/m is fixed at both ends and driven at 120 Hz. The tension is
varied to obtain standing waves (resonance) on the string.
1. what is the longest wavelength for a standing wave possible
on the string?
2. the tension on the string is varies to obtain fourth
harmonic
a. what is the wavelength of this standing wave?
b. what is the wave speed
3. what...
The high E-string of a steel string guitar is about L = 0.7m
long. It has a mass per unit length of p = 5.3 *10^-4 kg/m. Find
the tension T required to properly tune the string, given that a
high E has a frequency of f = 1318.51 hertz
(a) The high E-string of a steel string guitar is about L 0.7 m long. It has a mass per unit length of ρ= 5.3 x 10-4 kg/m. Find the...
A rope with a total length of 6.50 m has a mass of 0.689 kg. It vibrates in a standing wave as shown below. The hanging mass provides a tension 8.26 N. 5.00 m a) What is the mass per unit length of the rope? b) What is the wave speed on the rope? What is the frequency of the wave? O A The mass per unit length is 1.27 kg/m B. The mass per unit length is 0.106 kg/m...
A sinusoidal wave is travelling on a string under tension T = 8.0(N), having a mass per unit length of 1 = 0.0128(kg/m). It’s displacement function is D(x,t) = Acos(kx - t). It’samplitude is 0.001m and its wavelength is 0.8m. It reaches the end of this string, and continues on to a string with 2 = 0.0512(kg/m) and the same tension as the first string. Give the values of A, k, and , for the original wave, as well as...
10. A string is loaded by 1500N force. Its length is 3 m and mass is 0.125 kg. What is the speed of wave on the spring? 10a. What is mass of a string if its length is 2,5 m, it is loaded with 2500 N, and the speed of a wave on it is 120m/s? 10. A string is loaded by 1500N force. Its length is 3 m and mass is 0.125 kg. What is the speed of wave...
A guitar string of length L = 0.79 m is oriented along the x-direction and under a tension of T = 110 N. The string is made of steel which has a density of ρ = 7800 kg / m3. The radius of the string is r = 8.9 x 10-4 m. A transverse wave of amplitude A = 0.0020 m is formed on the string. a) Calculate the mass per unit length μ of the guitar string in kg/m....
A rope has a length of 5.00 m between its two fixed points and a mass per unit length (linear density) of 40.0 g / m. if the string vibrates at a fundamental frequency of 20 Hz. a) Calculate the tension of the string. b) Calculate the frequency and wavelength of the second harmonic (n = 2). c) Calculate the frequency and wavelength of the third harmonic. d) the speed of propagation of the wave.
25. The main cables supporting New York's George Washington Bridge have a mass per unit length of 4100 kg/m and are under 250-MN tension. At what speed would a transverse wave propa- gate on these cables? 29. A rope with 280 g of mass per meter is under 550-N tension. Find the average power carried by a wave with frequency 3.7 Hz and amplitude 60 cm propagating on the rope. 8. A 2.5-m-long string is clamped at both ends. (a)...
A rope with a total length of 6.50 m has a mass of 0.689 kg. It vibrates in a standing wave as shown below. The hanging mass provides a tension of 8.26 N. 5.00 m a) What is the mass per unit length of the rope? b) What is the wave speed on the rope? What is the frequency of the wave? A. The mass per unit length is 1.27 kg/m B. The mass per unit length is 0.106 kg/m...
A string of length 0.25 m has a mass per unit length of 0.040 kg/m. The frequency third harmonic of the string is 270 Hz. What is the tension in the string? No Figure available.