The concepts used in this problem are wavelength and frequency.
For determining the wavelength, first calculate the frequency and speed of wave using number of vibrations and then calculate the wavelength using the relation between wavelength, frequency and speed of wave.
Wavelength:
The wavelength is the length of the wave which is inversely proportional to the frequency of wave. Mathematically,
Here, is the frequency of wave, is the speed of wave and is the wavelength.
Frequency:
The occurrences of an event is being repeated. The number that how many times it has been repeated is the frequency. It is calculated as:
Here, is the number of vibrations and is the time taken in vibrations.
The frequency of wave is:
Substitute for and for .
The speed of the wave is:
Here, is the distance travelled by wave and is the time taken in travelling the distance.
Substitute for and for .
The wavelength is:
Substitute for and for .
Ans:
The value corresponding to the wavelength is.
A harmonic wave is traveling along a rope. It is observed that the oscillator that generates...
A harmonic wave is traveling along a rope. It is observed that the oscillator that generates the wave completes 40.0 vibrations in 30.0s. Also a given maximum travels 425 cm along the rope in 10.0 s. What is the wavelength?
2. A sinusoidal wave is traveling along a rope. The oscillator that generates the wave completes 39.0 vibrations in 29.0 s. A given crest of the wave travels 410 cm along the rope in 14.0 s. What is the wavelength of the wave? 3. When a particular wire is vibrating with a frequency of 5.00 Hz, a transverse wave of wavelength 64.0 cm is produced. Determine the speed of waves along the wire.
Figure 1. Problem 5. A sinusoidal wave is traveling along a rope. The oscillator that generates the wave completes N vibrations in an amount of time equal to Ar. A given crest of the wave travels a dis- tance d in an amount of time equal to AT where AT ± At. Write in terms of the given parameters: a) The period of the wave? (4/66) b) The frequency of the wave? (3/69) Solution: c) The speed of the wave?...
Asimple harmonic oscillator at the point generates a wave on a rope. The oscillator operates at a frequency of 40.0 Hz and with an amplitude of 3.00 cm. The rope has a linear mass density of and is stretched with a tension of 5.00 N. (a) Determine the speed of the wave. (b) Find the wavelength. (c) Write the wave function for the wave. Assume that the oscillator has its maximum upward displacement at time t=0. (d) Find the maximum...
*142 An oscillator that generates a sinusoidal wave on a string completes 40 vibrations in 50 s. The wave peak is observed to travel a distance of 1.4 m along the string in 5 s. What is the wavelength?
A simple harmonic oscillator at the position x=0 generates a
wave on a string. The oscillator moves up and down at a frequency
of 40.0 Hz and with an amplitude of 3.00 cm. At time t =
0, the oscillator is passing through the origin and moving down.
The string has a linear mass density of 50.0 g/m and is stretched
with a tension of 5.00 N.
A simple harmonic oscillator at the position x = 0 generates a wave...
DQuestion 5 1 pts A simple harmonic oscillator at the point x-0 generates a wave on a horizontal rope. The oscillator operates at a frequency of 40.0 Hz and with an amplitude of 3.00 cm. The rope has a linear mass density of 50.0 g/m, and is stretched with a tension of 5.00 N. Find the maximum transverse acceleration of points on the rope, in m/s? Sample submission: 1230 Note: your answer should be much larger than g. which is...
4) The given wave is traveling in a rope to the right. t = 1 second de 18 m The wave Y= 1.5 sin(kx-wt) travels in the rope. *(1.5 is in cm) a) What is the amplitude of the wave? b) What is the frequency (f) (-in Hertz) of the wave ? ( see the above figure) How did you calculate it c) What is the period (T) (-in seconds) of the wave? (see the above figure). How did you...
A simple harmonic oscillator at the position x = 0
generates a wave on a string. The oscillator moves up and down at a
frequency of 40.0 Hz and with an amplitude of 3.00 cm. At time
t = 0, the oscillator is passing through the origin and
moving down. The string has a linear mass density of 50.0 g/m and
is stretched with a tension of 5.00 N.
Question 2 9 pts Consider the piece of string at x...
For the following questions, consider a wave travels along a stretched horizontal rope a. The vertical distance from crest to trough for this wave is 12cm. The horizontal distance from crest to trough is 28 cm. i. What is the wavelength of this wave? ii. What is the amplitude of this wave? b. If the above wave is propagating with a speed of 120 cm/s, what is the frequency of the wave? Write an equation describing this wave. c. r(xr,...