A string of length 100.0 cm is fixed at both ends and is kept under a tension of 25.00 N. The linear mass density of the string is 0.650 g/m. (a) What is the lowest resonant frequency of the string? (b) What are the frequencies of the second and third harmonics? (c) What is the wave speed for this string? (d) What is the lowest resonant frequency when the tension is increased to 35.00 N
Q: Sinusoidal waves 5.00 cm in amplitude are to be transmitted along a string that has a linear mass…
A: In this question, To calculate wave's frequency , we will use the following steps 1. Find the wave's…
Q: proportional to the The wave speed on a stretched string is square root of the tension in the…
A: * The wave speed on a stretched string is proportional to the square root of the tension in the…
Q: A steel wire with mass 25.4 g and length 1.30 m is strung on a bass so that the distance from the…
A:
Q: A standing wave pattern is created on a string with mass density p = 3 x 10-4 kg/m. A wave…
A: the mass density of the string,frequency of the frequency generator,distance between the generator…
Q: A string fixed at both ends is 9.31 m long and has a mass of 0.125 kg. It is subjected to a tension…
A:
Q: A stretched string fixed at each end has a mass of 47.0 g and a length of 8.20 m. The tension in the…
A: Visualize the Problem:
Q: A small bead of mass 3.00 gg is attached to a horizontal string. Transverse waves of amplitude A� =…
A: Given: m = mass of the bead = 3.00 g A = amplitude = 0.800 cm f = frequency = 15.0 Hz To be…
Q: and a length of 7.00 m. The tension in the string is 44.0 N. (a) Determine the positions of the…
A: Given, mass=44gram Distance=7m Tension=47N
Q: A string having a length of 1.43 m is fixed at both ends. An n=8 standing wave is produced when the…
A:
Q: The G string on a full-sized violin has a fundamental frequency of 196 Hz, length of 0.33 m, and…
A:
Q: A stretched string fixed at each end has a mass of 48.0 g and a length of 8.60 m. The tension in the…
A: When a stretched string fixed at both its ends is plucked, it starts vibrating, and a standing wave…
Q: Transverse waves with a speed of 51.0 m/s are to be produced on a stretched string. A 4.55-m length…
A:
Q: The A-string on a guitar has length L = 0.648 m and lin- ear mass density \mu = 4.25 g/m. If the…
A: Step 1:Given:The third harmonic frequency of a perfectly tuned guitar string is: f3=330HzThe length…
Q: A guitar string is 90.0 cm long and has a mass of 3.16 g. From the bridge to the support post there…
A: Length of string is Mass is Distance between bridge to the support is Tension in rope is…
Q: A wire is under tension due to hanging mass. The observed wave speed is 24 m/s when the suspended…
A: wave speed is 24 m/s mass is 3kg a) what is the string's linear density ? b) if the length of the…
Q: In Figure (a), string 1 has a linear density of 1.36 g/m, and string 2 has a linear density of 6.97…
A: Write the expression for the tension in the string. T=Mg2T=2719.81000×2T=1.329 N
Q: A wave traveling on a SlinkyⓇ that is stretched to 3.3 m takes 3.2 s to travel the length of the…
A:
Q: The D-string on a properly tuned guitar produces a tone with a fundamental frequency of 146.8 Hz.…
A:
Q: Each end of a string with μ = 7.10 g/m is attached to two opposite walls. The distance between the…
A:
Q: Transverse waves with a speed of 44.5 m/s are to be produced on a stretched string. A 5.95-m length…
A:
Q: A string is fastened at both ends has successive resonances with wavelengths of 0.54 m for the nth…
A:
Q: In Figure (a), string 1 has a linear density of 2.14 g/m, and string 2 has a linear density of 7.16…
A:
Q: A transverse wave on a string is given by y(x,t)=0.12 sin (3.0x -15.0t) Determine: For the case t=…
A:
Q: A string of mass 35 g and length 3.0 m is clamped at the ends. It is found that standing waves can…
A: The mass of the string is, m=35 g=0.035 kg. The length of the string is, L= 3 m. The initial…
Q: A string that is fixed at both ends has a length of 2.44 m. When the string vibrates at a frequency…
A: Given data: Length (L) = 2.44 m Number of loops (n) = 5 Frequency (f) = 92.7 Hz Required:…
Q: The end of a horizontal rope with a linear density of 3.5 x10-4 kg/m is attached to a small…
A:
Q: A string fixed at both ends is 8.8 m long and has a mass of 0.17 kg. It is subjected to a tension of…
A:
Q: A transverse wave pulse on a string has the wavefunction phi (x,t) = 0.250 m^3 / 2.00m^2 + [x-(5.00…
A: a) The speed of the pulse is +5.0m/s b) Thus we can see from the graph as time increases the pulse…
Q: The tension in a wire clamped at both ends is increased to 5.1 times its original magnitude without…
A: The speed of a wave in a string is expressed in the following manner, 1v2=μTv=Tμ ......(1) where, v,…
Q: A stretched string is 2.00 m long and has a mass of 18.0 grams. When the stringoscillates at 440 Hz,…
A: Length (L) = 2 m mass of string (m) = 18 g = 0.018 kg frequency (f) = 440 Hz
Q: A stretched string fixed at each end has a mass of 40.0g and a length of 8.00m. The tension in the…
A:
Q: A steel wire with mass 28.8 g and length 1.12 m is strung on a bass so that the distance from the…
A:
Q: A source vibrating with a frequency of 150 Hz creates a standing wave in a string of length 73 cm.…
A: Given that, Frequency (f)= 150 Hz Length of the string (l)= 0.73 m There are 9 nodes, So, l = 8λ/2…
Q: A string of length L = 1.20 m is fixed at both ends and is stretched with a tension provided by a…
A: Length of string (L) = 1.20 m Tension (T) is provided by 1.763 kg weight Mass per unit length (μ) =…
A string of length 100.0 cm is fixed at both ends and is kept under a tension of 25.00
N. The linear mass density of the string is 0.650 g/m.
(a) What is the lowest resonant frequency of the string?
(b) What are the frequencies of the second and third harmonics?
(c) What is the wave speed for this string?
(d) What is the lowest resonant frequency when the tension is increased to 35.00
N?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- A sinusoidal transverse wave has a wavelength of 2.8 m. It takes 0.1 s for an element of the string at a position xx to move from the maximum position of yymax = 0.03 m to the equilibrium position yy = 0. What is the period of the wave, TT, and the wave speed, vv?The length of the B string on a certain guitar is 60.5 cm. It vibrates at a fundamental frequency of 245 Hz. (a) What is the speed of the transverse waves on the string in m/s? (b) If the linear mass density of the guitar string is 1.201.20 g/m what should the tension be (in newtons) when the string is in tune?A steel wire with mass 21.7 g and length 1.30 m is strung on a bass so that the distance from the nut to the bridge is 1.10 m. (a) Compute the linear density of the string.(b) What velocity wave on the string will produce the desired fundamental frequency of the E1 string, 41.2 Hz?(c) Calculate the tension required to obtain the proper frequency.(d) Calculate the wavelength of the string's vibration.(e) What is the wavelength of the sound produced in air? (Assume the speed of sound in air is 343 m/s.)
- Transverse waves with a speed of 56.0 m/s are to be produced on a stretched string. A 4.05-m length of string with a total mass of 0.0600 kg is used. (a) What is the required tension in the string?N(b) Calculate the wave speed in the string if the tension is 8.00 N. m/sA taut string has a length of 2.60 m and is fixed at both ends. (a) Find the wavelength of the fundamental mode of vibration of the string. (b) Can you find the frequency of this mode? Explain why or why not.A 2.00-m-long wire having a mass of 0.100 kg is fixed at both ends. The tension in the wire is maintained at 20.0 N. (a) What are the frequencies of the first three allowed modes of vibration (standing waves)? (b) If a node is observed at a point 0.400 from one end, in what mode and with what frequency is it vibrating? (c) If this wire can be used to create a sound wave as part of a musical instrument, what is the frequency and wavelength of the sound wave created if the string is oscillating in its fundamental mode?
- Transverse waves with a speed of 46.5 m/s are to be produced on a stretched string. A 5.40-m length of string with a total mass of 0.0600 kg is used. (a) What is the required tension in the string? (b) Calculate the wave speed in the string if the tension is 8.00 N. m/sA sinusoidal wave in a string is described by the wave function y = 0.150 sin (0.800x - 50.0t)where x and y are in meters and t is in seconds. The mass per length of the string is 12.0 g/m. (a) Find the maximum transverse acceleration of an element of this string.(b) Determine the maximum transverse force on a 1.00-cm segment of the string. (c) State how the force found in part (b) compares with the tension in the string.A string with a mass of 0.02 kg and a length of 2 meters is stretched between two fixed points. The tension in the string is 100 N. Calculate the speed of a transverse wave traveling through the string. (Note: Assume the string is massless, and there is no damping or energy loss during wave propagation.)
- A string is 1.5 m long and the wave travels at 250 m/s on the string. 1) What's the fundamental wavlength of the wave on a string? 2) What is the fudamental frequency? 3) What is the frequency of the fourth harmonic?A transverse sinusoidal wave on a string is moving in the −x-direction. Its speed is 30.0 m/s, and its period is 17.0 ms. At t = 0, a colored mark on the string at x = 0 has a vertical position of 2.00 cm and is moving down with a speed of 1.50 m/s. (b) What is the phase constant (in rad)? (c) What is the maximum transverse speed of the string (in m/s)? (d) Write the wave function for the wave. (Use the form A sin(kx + ωt + ϕ). Assume that y and x are in m and t is in s. Do not include units in your answer.)A string is connected to an oscillator and then laid horizontally, with the other end draped over a pulley and a mass of 200g is hung from that end. The string is found to have a mass of 15g and a length of 1.2m. The oscillator is turned on and the frequency is tuned until a standing wave is seen. You see 6 full wavelengths along the 1.2m length of the string. The oscillator frequency is set to 63Hz. What is the speed of the wave on the string based on your measurements? Give your answer in m/s and to 1 decimal place.