Equation for angular acceleration

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To find angular acceleration, the equation is not solely dependent on radius and mass; it can be calculated using different methods based on available information. One common formula is α = (ωf - ωi)/Δt, which requires knowing the initial and final angular velocities and the time interval. Alternatively, if angular positions are known, α can be determined using α = (ωf^2 - ωi^2)/2θ. The radius is significant for converting tangential acceleration to angular acceleration, as expressed in the equation aT = αR. Providing more context about the specific problem would yield a clearer answer.
dman_PL
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So knowing knowing radius and mass of the object, what is the equation to find angular acceleration?
 
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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:

\alpha = (ωf^2 - ωi^2)/2\theta

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

\alpha = (ωf - ωi)/Δt

theres 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 = \alphaR

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