Q. A steel wire with mass 37.0 g and length 7.10 m is stretched tightly between...
Q. A steel wire with mass 37.0 g and length 7.10 m is stretched tightly between its two endpoints. In its fundamental mode, the wire vibrates at a frequency of 59.0 Hz. When plucked, traveling waves bounce from one end to the other.
a) What is the speed of waves propagating along the wire?
b) Calculate the tension in the wire.
c) A standing wave at the fundamental frequency has an amplitude of 0.340 cm . Calculate the magnitude of the maximum acceleration of particles in the wire.
Homework Answers
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Q. A steel wire with mass 37.0 g and length 7.10 m is stretched
tightly between...
A wire with mass 60.0 g is stretched so that its ends are tied down at...
A wire with mass 60.0 g is stretched so that its ends are tied down at points 96.0 cm apart. The wire vibrates in its fundamental mode with frequency 70.0 Hz and with an amplitude of 0.400 cm at the antinodes. What is the speed of propagation of transverse waves in the wire? Compute the tension in the wire.
A wire with mass 45.0 g is stretched so that its ends are tied down at points...
A wire with mass 45.0 g is stretched so that its ends are tied down at points a distance 81.0 cm apart. The wire vibrates in its fundamental mode with frequency 62.0 Hz and with an amplitude at the antinodes of 0.310 cm.
a) What is the speed of propagation of transverse waves in the wire?
v = ______ m/s
b) Compute the tension in the wire.
F = _____ N
c) Find the magnitude of the maximum transverse velocity of particles in...
A wire with mass 45.0 g is stretched so that its ends are tied down at...
A wire with mass 45.0 g is stretched so that its ends are tied down at points a distance 79.0 cm apart. The wire vibrates in its fundamental mode with frequency 60.0 Hz and with an amplitude at the antinodes of 0.250 cm . A. Find the magnitude of the maximum transverse velocity of particles in the wire. B. Find the magnitude of the maximum acceleration of particles in the wire.
4. A wire with mass density 1.00 g/m and length 1.80 m is stretched between two...
4. A wire with mass density 1.00 g/m and length 1.80 m is stretched between two (fixed) clamps. It is vibrated at its third harmonic with a frequency of 240 Hz. a) Draw the standing wave pattern, labeling nodes and antinodes. b) What is the tension in the string? c) What is the fundamental frequency?
A steel wire having a mass of 6.30 g and a length of 1.20 m is...
A steel wire having a mass of 6.30 g and a length of 1.20 m is fixed at both ends and has a tension of 955 N. (a) Find the speed of transverse waves on the wire. 1 405 Incorrect: Your answer is incorrect. m/s (b) Find the wavelength of the fundamental. 2 m (c) Find the frequency of the fundamental. 3 Hz (d) Find the frequency of the second harmonic. 4 Hz (e) Find the frequency of the third...
A stretched wire vibrates in its fundamental mode at a frequency of 450 Hz. What would...
A stretched wire vibrates in its fundamental mode at a frequency of 450 Hz. What would be the fundamental frequency if the wire were half as long, its diameter were doubled, and its tension were increased by a factor of two?
A horizontal wire is stretched with a tension of 94.0 N , and the speed of...
A horizontal wire is stretched with a tension of 94.0 N , and the speed of transverse waves for the wire is 406 m/s. What must the amplitude of a traveling wave of frequency 73.0 Hz be in order for the average power carried by the wave to be 0.360 W ?
A piano wire with mass 3.45 g and length 75.0 cm is stretched with a tension...
A piano wire with mass 3.45 g and length 75.0 cm is stretched with a tension of 25.0 N . A wave with frequency 100 Hz and amplitude 1.50 mm travels along the wire. Calculate the average power carried by the wave. What happens to the average power if the wave amplitude is halved?
d stretched wire vibrates in its fundamental mode at a frequency of 481 vibrations/s. What would...
d stretched wire vibrates in its fundamental mode at a frequency of 481 vibrations/s. What would be the fundamental frequency if the wire were half as long, with twice the diameter and 5.2 times the tension? Answer in units of Hz.
A piano wire with mass 2.95 g and length 76.0 cm is stretched with a tension...
A piano wire with mass 2.95 g and length 76.0 cm is stretched with a tension of 29.0 N. A wave with frequency 105 Hz and amplitude 1.50 mm travels along the wire. Part A Calculate the average power carried by the wave. Express your answer in watts. Part B What happens to the average power if the wave amplitude is halved? Express your answer in watts.
A wire with mass 45.0 g is stretched so that its ends are tied down at points a distance 81.0 cm apart. The wire vibrates in its fundamental mode with frequency 62.0 Hz and with an amplitude at the antinodes of 0.310 cm.
a) What is the speed of propagation of transverse waves in the wire?
v = ______ m/s
b) Compute the tension in the wire.
F = _____ N
c) Find the magnitude of the maximum transverse velocity of particles in...
4. A wire with mass density 1.00 g/m and length 1.80 m is stretched between two (fixed) clamps. It is vibrated at its third harmonic with a frequency of 240 Hz. a) Draw the standing wave pattern, labeling nodes and antinodes. b) What is the tension in the string? c) What is the fundamental frequency?
A stretched wire vibrates in its fundamental mode at a frequency of 450 Hz. What would be the fundamental frequency if the wire were half as long, its diameter were doubled, and its tension were increased by a factor of two?
d stretched wire vibrates in its fundamental mode at a frequency of 481 vibrations/s. What would be the fundamental frequency if the wire were half as long, with twice the diameter and 5.2 times the tension? Answer in units of Hz.
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