Question qbout uniform circular motion

In summary, the conversation discusses the nature of angular velocity in relation to uniform circular motion. It is stated that angular displacement must be finite and that angular velocity, like regular velocity, is a vector quantity. It is also mentioned that infinitesimal angular displacement is considered a vector.
  • #1
abhijitlohiya
14
0
A particle is performing uniform circular motion.If the angular displacement is finite then whether angular velocity is a vector quantity or not?abhijitlohiya@gmail.com
 
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  • #2
abhijitlohiya said:
A particle is performing uniform circular motion.If the angular displacement is finite then whether angular velocity is a vector quantity or not?abhijitlohiya@gmail.com
I'm not sure I understand your question. How can angular displacement NOT be finite? Angular velocity, just like velocity is, by definition, a vector quantity.
 
  • #3
finite angular displacement do not obey the associative and commutative law of vector addition,so is not a true vector.is it so?infinitesimal angular displacement is a vector.is it correct?
 
Last edited:

1. What is uniform circular motion?

Uniform circular motion is a type of motion where an object moves along a circular path at a constant speed. This means that the object covers equal distances in equal time intervals, and its velocity is always tangential to the circular path.

2. What are the factors that affect uniform circular motion?

The factors that affect uniform circular motion are the speed of the object, the radius of the circular path, and the mass of the object. These factors determine the magnitude of the centripetal force needed to keep the object moving in a circular path.

3. How is uniform circular motion different from simple harmonic motion?

Uniform circular motion is the motion along a circular path at a constant speed, while simple harmonic motion is the back and forth motion of an object between two points along a straight line. In uniform circular motion, the acceleration is always directed towards the center of the circle, while in simple harmonic motion, the acceleration is always directed towards the equilibrium point.

4. What is centripetal acceleration in uniform circular motion?

Centripetal acceleration is the acceleration towards the center of the circular path that keeps the object moving in a circular motion. It is always perpendicular to the velocity of the object and its magnitude can be calculated using the formula a = v^2/r, where v is the velocity and r is the radius of the circular path.

5. How is centripetal force related to uniform circular motion?

Centripetal force is the force that acts towards the center of the circular path and keeps the object moving in a circular motion. It is equal to the product of mass, centripetal acceleration, and the radius of the circular path, and its direction is always towards the center of the circle.

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