Circular Motion and Oscillationshave been sick and am lost

In summary, circular motion is a type of motion in which an object moves in a circular path around a fixed point. An oscillation, on the other hand, is a repetitive back and forth motion around a central equilibrium point. The main difference between these two is that circular motion involves a circular path while oscillation involves back and forth movement. Examples of circular motion include the motion of a satellite or a carousel ride, while examples of oscillation include a pendulum or a guitar string. These two types of motion are related in that circular motion can be seen as a type of oscillation, and can be described as a combination of oscillatory and uniform circular motion.
  • #1
yvette262
1
0

Homework Statement


A particle begins at rest on a circular track and is subjected to a constant angular acceleration of magnitude α beginning when t=0s.(a) Show that the magnitudes of the tangential and centripetal accelerations of the particle are equal when

t=(1/α )^(1/2)

Independent of the radius of the circular track. (b) What is the angle that the total acceleration vector makes with the radial direction at this time?
 
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  • #2
hi yvette262! welcome to pf! :wink:

Show us what you've tried and where you're stuck, and then we'll know how to help! :smile:

("constant angular acceleration of magnitude α" means θ'' = α)
 

What is circular motion?

Circular motion is a type of motion in which an object moves in a circular path around a fixed point.

What is an oscillation?

An oscillation is a repetitive back and forth motion around a central equilibrium point.

What is the difference between circular motion and oscillation?

The main difference between circular motion and oscillation is that in circular motion, the object moves in a circular path, while in oscillation, the object moves back and forth around a central point.

What are some examples of circular motion and oscillation?

Examples of circular motion include the motion of a satellite around the earth or the motion of a carousel ride. Examples of oscillation include the motion of a pendulum or the vibration of a guitar string.

How are circular motion and oscillation related to each other?

Circular motion can be thought of as a type of oscillation in which the object moves in a circular path, while oscillation can be seen as a general term for any back and forth motion. Additionally, circular motion can be described as a combination of oscillatory motion in the horizontal direction and uniform circular motion in the vertical direction.

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