Rotational Motion: A=rω, Tangential/Centripetal Acceleration

  • Thread starter Thread starter anigeo
  • Start date Start date
  • Tags Tags
    Rotational
AI Thread Summary
In rotational motion, the relationship a = rω is discussed, where 'a' represents acceleration, 'r' is the radius of rotation, and 'ω' is the angular velocity. The distinction between tangential and centripetal acceleration is clarified, with tangential acceleration defined as a = rα, where α is the angular acceleration (α = dω/dt). The equation v = rω is also mentioned, indicating the linear velocity in relation to angular velocity. Understanding these relationships is crucial for analyzing motion in circular paths. The discussion emphasizes the importance of differentiating between types of acceleration in rotational dynamics.
anigeo
Messages
83
Reaction score
0
we have in rotational motion a=rω,where r and ω are the radius of rotation and angular velocity respectively.What is a (tangential acceleration or centripetal acceleration)
 
Physics news on Phys.org
anigeo said:
we have in rotational motion a=rω,where r and ω are the radius of rotation and angular velocity respectively.
Surely v=r\omega?

The tangential acceleration would be a=r\alpha where \alpha=\frac{d\omega}{dt}.
 

Thread '1:1 versus 2:1 Mechanical Advantage debate'

The rope is tied into the person (the load of 200 pounds) and the rope goes up from the person to a fixed pulley and back down to his hands. He hauls the rope to suspend himself in the air. What is the mechanical advantage of the system? The person will indeed only have to lift half of his body weight (roughly 100 pounds) because he now lessened the load by that same amount. This APPEARS to be a 2:1 because he can hold himself with half the force, but my question is: is that mechanical...
View full post »

Thread 'Average velocity as a weighted mean'

Hello everyone, Consider the problem in which a car is told to travel at 30 km/h for L kilometers and then at 60 km/h for another L kilometers. Next, you are asked to determine the average speed. My question is: although we know that the average speed in this case is the harmonic mean of the two speeds, is it also possible to state that the average speed over this 2L-kilometer stretch can be obtained as a weighted average of the two speeds? Best regards, DaTario
View full post »

Thread 'Newton's first law?'

Some physics textbook writer told me that Newton's first law applies only on bodies that feel no interactions at all. He said that if a body is on rest or moves in constant velocity, there is no external force acting on it. But I have heard another form of the law that says the net force acting on a body must be zero. This means there is interactions involved after all. So which one is correct?
View full post »

Similar threads

I Does a rotating accelerometer moving linearly measure linear velocity?
Replies
47
Views
4K
B Static friction needed for rolling without slipping
Replies
4
Views
2K
I Coriolis effect and the acceleration experienced in a rotating frame
Replies
14
Views
1K
Bead sliding on a uniformly rotating wire
Replies
37
Views
5K
When Does an Object Experience Only Centripetal Acceleration in Circular Motion?
Replies
2
Views
1K
B Confusion while trying to build intuition of centripetal force
Replies
15
Views
3K
Rolling without slipping down an inclined plane
Replies
41
Views
6K
Why is there angular acceleration in a non-spinning gyroscope?
Replies
2
Views
1K
Why does radial acceleration act toward the center?
Replies
21
Views
8K
B Acceleration of an Object Moving in Circular Path
Replies
6
Views
551

Hot Threads

Recent Insights

Back
Top