Calculating Wave Speed for a 6m Rope with 7kg Mass and 140 N Force

  • Thread starter freeofwork
  • Start date
  • Tags
    Wavelength
In summary, the question asks for the speed of a wave on a 6m rope with a mass of 7kg, pulled taut with a force of 140 N. There is an equation for wave speed on a stretched string involving tension and mass, which may have been missed or forgotten. The correct mass is actually 0.7kg. A helpful article is provided for further clarification.
  • #1
freeofwork
44
0

Homework Statement



A 6m length of rope has a mass of 7kg. It is pulled taut with a force of 140 N. What is the speed of the wave for the rope?

Homework Equations



i have no idea...
v=λf
L=λ/2

The Attempt at a Solution


I have no idea if I have the right formulas...
 
Physics news on Phys.org
  • #2
Can you post the full question? In summarizing the details from your textbook, you have omitted essential information.
 
  • #3
That is the whole question... I may have missed some formulas during class however.
 
  • #4
There is an equation for the speed of a wave along a stretched string. It involves tension and mass information...have you met this equation?
 
  • #6
Yeah I kept on using that equation but it din't work. I realized at about 4am that it was actually .7kg...
 

FAQ: Calculating Wave Speed for a 6m Rope with 7kg Mass and 140 N Force

What is a wavelength?

A wavelength is the distance between two consecutive peaks or troughs of a wave. It is typically measured in meters (m), but can also be measured in other units such as nanometers (nm) or micrometers (μm).

How is wavelength related to frequency?

Wavelength and frequency are inversely proportional to each other. This means that as the wavelength decreases, the frequency increases, and vice versa. This relationship is described by the equation: c = λf, where c is the speed of light, λ is the wavelength, and f is the frequency.

What factors affect the wavelength of a wave?

The wavelength of a wave is affected by the medium through which it travels and the frequency of the wave. In a vacuum, the wavelength is determined solely by the frequency. In a medium, however, the wavelength can be affected by factors such as temperature, pressure, and density.

How is wavelength measured?

Wavelength can be measured using various instruments, depending on the type of wave. For electromagnetic waves, a spectrophotometer or diffraction grating can be used. For sound waves, a ruler or measuring tape can be used to measure the distance between two consecutive compressions or rarefactions. For ocean waves, a buoy can be used to measure the distance between two consecutive wave crests or troughs.

What are some real-life applications of understanding wavelength?

Understanding wavelength is crucial in various fields such as telecommunications, astronomy, and medicine. In telecommunications, understanding the relationship between wavelength and frequency is important for optimizing the transmission of signals. In astronomy, studying the wavelengths of light emitted by celestial objects can provide valuable information about their composition and distance. In medicine, certain medical imaging techniques such as MRI and ultrasound utilize the properties of different wavelengths to produce images of the human body.

Back
Top