How Does Mass Influence Angular Acceleration?

In summary, the conversation is about a problem involving angular acceleration and the equation needed to solve it. The participants discuss the equation for torque and angular acceleration, with one person eventually figuring out the correct equation to use for a uniform disk. They thank each other for their help and confirm the correct equation.
  • #1
apaxapax
14
0

Homework Statement



See attached

Homework Equations



Ok..Im having difficulty with this problem. I don't see what m has to do with angular accerleration.

The Attempt at a Solution


I believe the equation to use for this is a=rα ? I just can't get there..any help would be great

thanks




Homework Equations





The Attempt at a Solution

 

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  • #2
apaxapax said:

Homework Statement



See attached

Homework Equations



Ok..Im having difficulty with this problem. I don't see what m has to do with angular accerleration.

The Attempt at a Solution


I believe the equation to use for this is a=rα ? I just can't get there..any help would be great

thanks

Well the tension would exert a torque, so what equation relates torque and angular acceleration?
 
  • #3
ok..found an equation...guess I need to organize equations better..seems to be my big problems.
t=mr2α

that should do it I think..anyone like to confirm?

thanks
 
  • #4
apaxapax said:
t=mr2α

that should do it I think..anyone like to confirm?
Almost. The general equation that you need, as rock.freak was leading you towards, is:
Torque = I*alpha

What's I for a uniform disk?
 
  • #5
I = 1/2mr2
 
  • #6
apaxapax said:
I = 1/2mr2
Good!
 
  • #7
thanks for the help. much appreciated
 

FAQ: How Does Mass Influence Angular Acceleration?

What is angular acceleration?

Angular acceleration is a measure of the rate of change of angular velocity. It describes how quickly an object's angular velocity is changing over time.

How is angular acceleration different from linear acceleration?

Angular acceleration refers to the change in an object's rotational motion, while linear acceleration refers to the change in an object's translational motion. Angular acceleration is measured in radians per second squared, while linear acceleration is measured in meters per second squared.

What causes angular acceleration?

Angular acceleration is caused by a net torque acting on an object. Torque is the measure of how much a force causes an object to rotate, so any unbalanced torque will result in angular acceleration.

How is angular acceleration calculated?

Angular acceleration can be calculated by dividing the change in angular velocity by the change in time. This can be represented by the equation α = (ωf - ωi) / t, where α is the angular acceleration, ωf is the final angular velocity, ωi is the initial angular velocity, and t is the time interval.

What are some real-world examples of angular acceleration?

Some examples of angular acceleration in real-world scenarios include spinning a top, throwing a curveball in baseball, or riding a bicycle around a curved track. Any time an object is rotating and its rotational speed is changing, angular acceleration is present.

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