Exam 15: Mechanical Waves

A wave pulse traveling to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier.What is the orientation of the reflected and transmitted pulses?

For the wave shown in the figure,the wavelength is

A 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 mass of the rope?

A 2.00-m long piano wire with a mass per unit length of 12.0 g/m is under a tension of 8.00 kN.What is the frequency of the fundamental mode of vibration of this wire?

Four traveling waves are described by the following equations,where all quantities are measured in SI units and y represents the displacement. I: y = 0.12 cos(3x + 2t) II: y = 0.15 sin(6x - 3t) III: y = 0.23 cos(3x + 6t) IV: y = -0.29 sin(1.5x - t) Which of these waves have the same speed?

Calculate the light intensity 1.51 m from a light bulb that emits 100 W of visible light,assuming that the light radiates uniformly in all directions.

The vertical displacement y(x,t)of a string stretched along the horizontal x-axis is given by . (a)What is the minimum time for each complete cycle of the wave? (b)What is the distance between adjacent crests of the wave? (c)How fast does this wave travel?

A transverse wave is traveling on a string stretched along the horizontal x-axis.The equation for the vertical displacement y of the string is given by ,where all quantities are in SI units.The maximum speed of a particle of the string is closest to

Consider the waves on a vibrating guitar string and the sound waves the guitar produces in the surrounding air.The string waves and the sound waves must have the same

A platinum wire that is 1.20 m long has a radius of 0.500 mm and is fixed at both ends.In its third harmonic it vibrates at 512 Hz.The density of platinum is 21.4 × 10³ kg/m³.What is the tension in the wire?

The figure shows the displacement y of a traveling wave at a given position as a function of time and the displacement of the same wave at a given time as a function of position.How fast is the wave traveling?

A 2.0-m string is fixed at both ends and tightened until the wave speed is What is the frequency of the standing wave shown in the figure?

The density of aluminum is 2700 kg/m³.If transverse waves propagate at in a aluminum wire,what is the tension on the wire?

Waves travel along a 100-m length of string which has a mass of and is held taut with a tension of .What is the speed of the waves?

A tube open at one end and closed at the other end produces sound having a fundamental frequency of 350 Hz.If you now open the closed end,the fundamental frequency becomes

A 1.0-g string that is 0.64 m long is fixed at both ends and is under tension.This string produces a 100-Hz tone when it vibrates in the third harmonic.The speed of sound in air is 344 m/s.The tension in the string,in is closest to

Ocean tides are waves that have a period of 12 hours,an amplitude (in some places)of 1.50 m,and a speed of 750 km/hr.What is the distance between adjacent crests of these waves?

A heavy stone of mass m is hung from the ceiling by a thin 8.25-g wire that is 65.0 cm long.When you gently pluck the upper end of the wire,a pulse travels down the wire and returns 7.84 ms later,having reflected off the lower end.The speed of sound in the room is 344 m/s,and the stone is heavy enough to prevent the lower end of the wire from moving.If the wire is vibrating in its second overtone,what is the frequency of the sound it will produce?

A 6.0-m wire with a mass of 50 g,is under tension.A transverse wave,for which the frequency is 810 Hz,the wavelength is 0.40 m,and the amplitude is 4.0 mm,is propagating on the wire.The time for a crest of this wave to travel the length of the wire is closest to

Standing waves of frequency 57 Hz are produced on a string that has mass per unit length .With what tension must the string be stretched between two supports if adjacent nodes in the standing wave are to be 0.71 meters apart?