Exam 15: Waves

A traveling sinusoidal wave moves to the right at a speed of v₁ and with a wavelength of along String 1,which has a linear mass density $\mu$ ₁.String 1 is attached to a heavier String 2 (with linear mass density $\mu$ ₂ = 4 $\mu$ ₁)and the wave in String 1 produces a traveling wave in String 2,which also moves to the right.What is the wavelength of the wave in String 2 in terms of ?

A sinusoidal wave travels along a stretched string.A point along the string has a maximum velocity of 1 m/s and a maximum displacement of 2 cm.What is the maximum acceleration at that point?

If transverse waves on a string travel with a velocity of 20 m/s when the string is under a tension of 30 N,what tension will be required for the waves to travel with a velocity of 40 m/s on the same string?

What is the wave speed in a brass wire with a radius of 0.750 mm stretched with a tension of 250 N? The density of brass is 8.60 * 10³ kg/m³.

If the speed of gravity waves is the same a for light (3.00 * 10⁸ m/s),as is thought to be the case,find the fundamental frequency of waves that would be detected by LIGO (distance between the two end points is 3002 km).

In the figure,point A is 30 cm below the ceiling.Determine how much longer it will take for a pulse to travel along wire 1 than it would along wire 2.Both wires are made of the same material and have identical cross sections.

A wave is described by the equation y = 3sin(4t - 3x + 2).What is the velocity of the wave?

The tension in a 3.4 m long,1.0-cm diameter steel cable ( )under 480 N.What is the fundamental frequency of vibration of the cable?

A wave on a string has a wave function given as .What is the speed of the wave?

A transverse harmonic wave of wavelength 14.5 cm and a frequency of 488 Hz travels along the positive z direction on a string.The wave oscillations take place in the x-z plane with an amplitude of 3.00 cm.The speed of the wave is

Bob is talking to Alice using a tin can telephone,which consists of two steel cans connected by a 15.5-m long stretched steel wire.The wire has a linear density of 6.13 g/m and the tension in the wire is 32.4 N.The sound waves leave Bob's mouth,are collected by the can on the left,and then create vibrations in the wire,which travel to Alice's can,and are then transformed back into sound waves in air.How long does it take for the wave traveling in the wire to reach Alice?

A wave travels in positive x direction at 30.0 m/s along a string in the positive x direction.The frequency of the wave is 50.0 Hz.Which of the following could the equation to describe this wave?

You are standing in the very center of a deep,flat-bottomed valley,and shout "Hello!" If the speed of sound is 343 m/s,and you hear the second echo "Hello!" at 2.1 seconds after you shout,how wide is the valley?

A 2.45-m long wire of uniform linear mass density hangs from the ceiling.How long will it takes for a pulse to travel the length of the wire?

A string,fixed at both ends vibrates at a fundamental frequency of 450 Hz and has a mass per unit length of 5.51 * 10^-4 kg/m.The tension in the string is 200 N.What is the length of the string?

A guitar string with a mass of 12 g is 80 cm long and attached to the guitar at two points separated by 65 cm.What is the frequency of its fundamental note when it is placed under a tension of 170 N?

One of the main mechanisms that humans use to determine whether a sound is coming from the left or the right is based on the fact that the sound may reach one ear before the other.Given that the speed of sound in air is 343 m/s and that human ears are typically 20 cm apart,what is the time resolution in human hearing that would allow sounds coming from the left to be distinguished from sounds coming from the right using this mechanism?

The equation representing a wave on a string is y(x,t)= 0.23 m cos((23.2 m^-1)x - (15.3s^-1)t).What is the wave velocity?

The wave speed in a brass wire with a radius of 0.750 mm is 340 m/s.What is the tension in the wire? The density of brass is 8.60 * 10³ kg/m³.

A rock is thrown into a pond and produces a series of waves.One meter away from the impact point the first wave is 3.0 cm high.How far from the impact point will that wave have a height of 1.5 cm?