A wire with mass 50.0 g is stretched so that its ends are tied down at points 90.0 cm apart. The wire vibrates in its fundamental mode with frequency 50.0 Hz and with an amplitude at the antinodes of 0.300 cm. a. What is the speed of propagation of transverse waves in the wire? b. Compute the tension in the wire.

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A: The linear density (μ) of the string is the mass per unit length. It can be calculated using the…

Q: A piano string of linear mass density 0.005 kg/m is under a tension T= 101 N. Find the velocity…

A: Linear mass density (μ) = 0.005 kgmTension (T) = 101 Newton

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A: Here given a steel wire of length 1.44 m . Mass is 1.72 × 10-² kg. The fundamental vibration is…

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A: Given: The length of the cable is L=4.15 m The mass of the cable is m=0.205 kg The time duration is…

Q: A string is fixed at both ends. The mass of the string is 0.0010 kg and the length is 4.15 m. The…

A:

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Q: A violin string of ?=31.8 cm in length and ?=0.64gm⁄ linear mass density is tuned to play an A4 note…

A:

Q: 5T Consider a wave described by the wave function y (x.f) = 0.75m sin s-1t+), find the time period…

A: Time period is T = 1/f  => T = 2πω = 2π3π7 => T = 4.67 s

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A:

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A:

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A: Given: The frequency of the rod is 2 Hz.

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A: Given wave equation is, yx,t=0.85 m sin7π2 m-1 x+5π4 s-1 t+π6

Q: 6.00-m long rope is under a tension of 600 N. Waves travel along this rope at 40.0 m/s. What is the…

A: length of rope = L = 6 m tension = T = 600 N Speed = V = 40 m/s

Q: A steel cable with total length 40 m and mass 120 kg is connected to two poles. The tension in the…

A: Write the given values with the suitable variables. L=40 mm=120 kgT=2996 Nf=2 Hz Here, L, m, T, and…

Q: e resonant frequencies (below

A:

Q: A wire with mass 50.0 g is stretched so that its ends are tied down at points 90.0 cm apart. The…

A:

Q: A sinusoidal wave has a displacement given by the formula 1. What is the Amplitude? 2. The Frequency…

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A: The general wave equation is given by

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A:

Q: The D-string on a properly tuned guitar produces a tone with a fundamental frequency of 146.8 Hz.…

A:

Q: The distance between consecutive peaks of a transverse wave is 1.45m. Eight peaks pass by you in…

A: f=nT=813.7 s=0.58 Hz   Speed of wave v=0.58 Hz1.45 m=0.84 m/s

Q: A wire of length L and mass 6 x 10-3 kg/m per unit length is put under tension of 540N. Two…

A: As we know the differenc eof two consecutive frequency is fundamental frequencyTherefore,490-420=70…

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A: Given data: Equation (yx) = 52x2+2 m.Velocity (v) = 4.4 m/s.Distance (x) = 0 m. To Determine: (a).…

Q: steel wire is 4.30 mm long and is stretched with a tension of 1500 NN . The speed of propagation of…

A:

Q: A harmonic transverse wave function is given by y(x, t) = (1.5 m) sin(10.5x + 20.2t) Where all…

A:

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A: The units are repeated twice. We will solve the problem with  length 2.25 m and the frequencies 345…

Q: A string 2.5 m long (weighing 2 N) is hanging from the ceiling. You attach a mass 10 kg to the lower…

A: Find the speed of the transverse wave. v=Fμ=FmL=2102.5=0.707 m/s

Q: A 0.844 kg spring with force constant equal to 75 N/m oscillates with simple harmonic motion along…

A: mass = m =0.844 kg force constant = K = 75 N/m

Q: a. A banjo D string is 0.69 m long and has a fundamental frequency of 293.6 Hz. Determine the speed…

A: a) Calculate the speed of the wave on the string. f=v2L293.6 Hz=v2(0.69 m)v=405.168 m/sv≈405.17 m/s

Q: Physics student is driving the string at the end at an angular frequency of 40.3 Hz. If the…

A: Given Data, Angular frequency ω=40.3 Hz Wavelength λ=5 m

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Q: Consider a wave described by the wave function 7 T y (x,t)= 0.85m sin (- x + 4 t + ), find the time…

A:

Q: A string is fixed at both ends. The mass of the string is 0.0010 kg and the length is 4 m. The…

A: Given  Mass of string, M = 0.0010 kg Length of string ,L =  4 m Tension in string, T = 180 N

Q: A 4.95-m, 0.736-kg wire is used to support two uniform 239-N posts of equal length (Figure 1).…

A: SOlution: Given that L= 4.95 mm=0.736 kgv = 344 m/s

Q: simple harmonic oscillator at the point x = 0 generates a wave on a rope, requency 40.0 Hz and…

A: Given L = 1 m T = 50 N Mass per unit length = 5 g/m = 0.005 kg/m

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A: The frequency of the sound wave is f=38.0 Hz The sound intensity level is L=60 dB The density of air…

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A: The frequency of wave is: f=ntPut n=43, t=28sf=4328f=1.54s-1The speed of the wave is:v=dt'Here, d is…

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A: Given  Angular frequenc,ω =40.3 Hz  and wavelength λ = 5 m  To find: frequency ,wave number,Speed of…

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.