Angular acceleration given force, moment arm and inertia?

AI Thread Summary
To find angular acceleration, the torque is calculated using the formula torque = force * moment arm length, resulting in 2668.5 Newton-meters. The angular acceleration is then determined by dividing the torque by the moment of inertia, yielding 0.576 radians/sec^2 or 33.05 degrees/sec^2. The calculation is confirmed to be correct, with a note on significant figures suggesting the final answer should be reported as 33 degrees/sec^2. The discussion emphasizes the importance of accuracy in significant digits in physics calculations. Overall, the solution is validated and correctly presented.
joema
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Homework Statement



Find angular acceleration in deg/sec^2 given the following factors:

- Total mass: 4889 kg
- Moment of inertia: 4620 kg*m^2
- Moment arm length from center of mass: 1.5 meters
- Force on moment arm tangent to mass: 1779 Newtons

Homework Equations



torque = force * moment arm length
torque = 1779 Newtons * 1.5 meters
torque = 2668.5 Newton-meters

angular acceleration = torque / moment of inertia

The Attempt at a Solution



angular acceleration = 2668.5 N-m / 4620 kg*m^2

angular acceleration = 0.576 radians/sec^2 = 33.05 degrees/sec^2

Is this right?
 
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Looks good, except for significant digits.
 
Should be 33, yes? i.e. 2 sig figs
 
Yep.
 
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