Equation for angular acceleration

Click For Summary
SUMMARY

The equation for angular acceleration can be determined using various methods depending on the available data. The primary formulas discussed are: α = (ωf^2 - ωi^2)/2θ for angular acceleration based on initial and final angular speeds, and α = (ωf - ωi)/Δt when time is known. Additionally, the relationship between tangential acceleration and angular acceleration is expressed as aT = αR, where R is the radius. Simply knowing the mass and radius of an object does not provide sufficient information to calculate angular acceleration directly.

PREREQUISITES
  • Understanding of angular kinematics
  • Familiarity with angular velocity (ω)
  • Knowledge of tangential acceleration (aT)
  • Basic grasp of rotational motion concepts
NEXT STEPS
  • Study the derivation of angular acceleration formulas
  • Learn about the relationship between linear and angular motion
  • Explore applications of angular acceleration in real-world scenarios
  • Investigate the effects of mass distribution on angular acceleration
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding rotational dynamics and angular motion calculations.

dman_PL
Messages
15
Reaction score
0
So knowing knowing radius and mass of the object, what is the equation to find angular acceleration?
 
Physics news on Phys.org
It's not dependent on either, is it?
Isn't it just dω/dt?
 
your question is kind of ambiguous, there's a number of ways to find angular acceleration depending on what you know. for example, if you know its angular speed at one instant, its angular speed at another, and the amount its turned in between then you can solve for the angular acceleration using:

[itex]\alpha[/itex] = (ωf^2 - ωi^2)/2[itex]\theta[/itex]

or, instead if you knew the amount of time that elapsed between those velocities:

[itex]\alpha[/itex] = (ωf - ωi)/Δt

there's a bunch of ways you can do it, but just given the mass and radius doesn't tell you very much. the radius helps you find out the angular acceleration and velocity at different points out from your center of mass, or if you have a tangential acceleration and you want to convert to your angular acceleration:

aT = [itex]\alpha[/itex]R

maybe if you said more about your problem there would be a more definite answer
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 20 ·
Replies
20
Views
3K
Replies
12
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
1
Views
1K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 138 ·
5
Replies
138
Views
9K
  • · Replies 13 ·
Replies
13
Views
2K