There is a long steel wire of length 4.31 m where its upper end is attached to the ceiling. At the other end, a 57.6 kg object is suspended. It is observed that it takes a transverse pulse 0.0232 s to travel from the bottom to the top of the wire. What is the mass of the wire? NOTE: Final answer in THREE decimal places. Include the unit. Round your answer to 3 decimal places. Add your answer

There is a long steel wire of length 4.31 m where its upper end is attached to the ceiling. At the other end, a 57.6 kg object is suspended. It is observed that it takes a transverse pulse 0.0232 s to travel from the bottom to the top of the wire. What is the mass of the wire? NOTE: Final answer in THREE decimal places. Include the unit. Round your answer to 3 decimal places. Add your answer

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Mechanical Waves

Section: Chapter Questions

Problem 15P: A steel wire of length 30.0 m and a copper wire of length 20.0 m, both with 1.00-mm diameters, are...

See similar textbooks

Similar questions

A steel wire with mass 25.0 g and length 1.35 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 strings vibration. (e) What is the wave-length of the sound produced in air? (Assume the speed of sound in air is 343 m/s.)
The bulk modulus of water is 2.2 109 Pa (Table 15.2). The density of water is 103 kg/m3 (Table 15.1). Find the speed of sound in water and compare your answer with the value given in Table 17.1.
A steel wire of length 30.0 m and a copper wire of length 20.0 m, both with 1.00-mm diameters, are connected end to end and stretched to a tension of 150 N. During what time interval will a transverse wave travel the entire length of the two wires?
As in Figure P18.16, a simple harmonic oscillator is attached to a rope of linear mass density 5.4 102 kg/m, creating a standing transverse wave. There is a 3.6-kg block hanging from the other end of the rope over a pulley. The oscillator has an angular frequency of 43.2 rad/s and an amplitude of 24.6 cm. a. What is the distance between adjacent nodes? b. If the angular frequency of the oscillator doubles, what happens to the distance between adjacent nodes? c. If the mass of the block is doubled instead, what happens to the distance between adjacent nodes? d. If the amplitude of the oscillator is doubled, what happens to the distance between adjacent nodes? FIGURE P18.16
A wave is described by y = 0.020 0 sin (kx - t), where k = 2.11 rad/m, = 3.62 rad/s, x and y are in meters, and t is in seconds. Determine (a) (he amplitude, (b) the wavelength, (c) the frequency, and (d) the speed of the wave.
A harmonic transverse wave function is given by y(x, t) = (0.850 m) sin (15.3x + 10.4t) where all values are in the appropriate SI units. a. What are the propagation speed and direction of the waves travel? b. What are the waves period and wavelength? c. What is the amplitude? d. If the amplitude is doubled, what happens to the speed of the wave?
A taut tope has a mass of 0.180 kg and a length of. 3.60 m. What power must be .supplied to the rope so as generate sinusoidal waxes having an amplitude of 0.100 in and a wavelength of 0.500 m and traveling with a speed of 30.0 m/s?
The upper end of a 3.7-mm-long steel wire is fastened to the ceiling, and a 44 kgkg object is suspended from the lower end of the wire. You observe that it takes a transverse pulse 0.049 ss to travel from the bottom to the top of the wire. What is the mass of the wire? Express your answer with the appropriate units.
The upper end of a 4.59-meter-long steel wire is fastened to the ceiling, and a 79.0-kg object is suspended from the lower end of the wire. You observe that it takes a transverse pulse 0.0496 second to travel from the bottom to the top of the wire. What is the mass, in kilograms, of the wire? NOTE Express your final answers accurate to four decimal places; avoid rounding off intermediate values in the solutions to avoid deviation due to rounding-off within the solution.
a steel wire with a uniform tension T=600N, length L=2m and mass 8 kg. a) Find the elementary frequency of oscillation. b) if the maximum frequency that a person can hear is 10,000hz=f, what is the highest harmonic that this person can perceive?
A uniform cylindrical steel wire, 53.0 cm long and 1.16 mm in diameter, is fixed at both ends. To what tension must it be adjusted so that, when vibrating in its first overtone, it produces the note D^# of frequency 311 Hz? Assume that it stretches an insignificant amount. (Hint: The density of the steel is 7800 kg/m^3.) Express your answer using two significant figures. (In Newtons)
What is the radius of a wire that has a wave velocity of 225m / s when stretched with a tension of 150 N? The density of the wire is 8.60x103 kg / m3.