Does a Rod's Size Change When Rotating at the Speed of Light?

In summary, if a rod is moving close to the speed of light in its linear velocity and rotating at some angular velocity, its length and width will appear to change as it rotates due to the fact that it cannot be treated as a rigid body. This is because its endpoints cannot move faster than the speed of light, causing it to appear to bend to an external observer. This change in angular momentum also means that there is torque acting on the rod. However, the exact appearance of the rod will depend on one's definition of "funky" and the accuracy of the images used to illustrate the concept.
  • #1
captain
164
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if a rod is moving close to the speed of light in its linear velocity and rotating at some angular velocity will the rod's length and width change as it rotates making it look all funky or will it do something else because it can't be treated as a rigid body? If it does do what i mentioned above then its angular momentum is changing and that means there is torque.
 
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  • #2
Because its endpoints cannot move faster than the speed of light, relative to some external observer (You say it is "moving close to the speed of light". You mean, of course, relative to this observer.) it will appear to bend. As has been said here many times, there is no such thing as a "rigid body" in relativity.
 
  • #3
captain said:
making it look all funky
Depends, do you call http://commons.wikimedia.org/wiki/Image:Relativistic_Rolling_Wheel.png" "funky"?

PS I cannot vouch for the accuracy of these pictures, it is a wikipedia link after all, but they seem about right.
 
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FAQ: Does a Rod's Size Change When Rotating at the Speed of Light?

What is a translating and rotating rod?

A translating and rotating rod is a physical object that is capable of both translation (movement in a straight line) and rotation (movement around a fixed point).

What is the purpose of studying translating and rotating rods?

Studying translating and rotating rods can help scientists understand the principles of motion and mechanics. It can also have practical applications in fields such as engineering and robotics.

How do translating and rotating rods work?

Translating and rotating rods work by utilizing forces and torques to produce movement. Forces can cause translation, while torques can cause rotation.

What are some real-life examples of translating and rotating rods?

Some common examples of translating and rotating rods include hinges, door knobs, and bicycle wheels. In nature, the limbs of animals and the propellers of helicopters also exhibit translating and rotating motion.

How can translating and rotating rods be applied in engineering?

Translating and rotating rods can be used in engineering to create mechanisms that can perform specific tasks, such as opening and closing doors or lifting heavy objects. They can also be used to improve the efficiency and stability of machines and structures.

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