Neutron velocity selector and rotational speed of shaft

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SUMMARY

The discussion focuses on calculating the rotational speed of a shaft connecting two disks in a neutron mechanical velocity selector. Given that the slot in disk B lags behind the slot in disk A by 10 degrees and the disks are separated by 0.5 meters, the key to solving the problem lies in determining the speed of neutrons with a target wavelength of 1 angstrom. By calculating the time it takes for neutrons to travel between the slits and using this time to derive the angular speed of the disks, one can find the required rotational speed of the shaft.

PREREQUISITES
  • Understanding of neutron mechanics and wavelength concepts
  • Familiarity with angular velocity and rotational motion equations
  • Knowledge of basic physics equations related to speed and distance
  • Ability to perform trigonometric calculations for angular displacement
NEXT STEPS
  • Calculate the speed of neutrons based on their wavelength using the formula: speed = wavelength × frequency
  • Explore the relationship between linear speed and angular speed using the formula: angular speed = linear speed / radius
  • Investigate the effects of angular displacement on rotational motion in mechanical systems
  • Review practical applications of neutron velocity selectors in experimental physics
USEFUL FOR

Students and researchers in physics, particularly those studying neutron mechanics, mechanical engineering, or anyone involved in designing or analyzing neutron velocity selectors.

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Homework Statement



Suppose that there is a beam of neutrons with a range of wavelengths. One intends to produce neutrons of single wavelength by the use of neutron mechanical velocity selector.

The question is, if the slot in the disk B (second disk) of the selector lags the slot in the disk A by 10 degrees, and two disks are separated by 0.5m, how do you calculate how fast should the shaft that connects the disks rotate? (target wavelength as 1 angstrom as an example.)

I am just getting lost, so I ask for your help.

Homework Equations

The Attempt at a Solution

 
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If you know the wavelength of the neutron, then you should be able to find the speed of the neutron. With that speed, how much time would it take to travel the distance from one slit to the other? How would you use this time to find the angular speed of the disks?
 
Thanks. I got it.
 

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