Angular acceleration given force, moment arm and inertia?

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Homework Help Overview

The original poster attempts to find the angular acceleration given specific parameters, including mass, moment of inertia, moment arm length, and force applied. The subject area involves rotational dynamics and the relationship between torque and angular acceleration.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of torque based on the provided force and moment arm. There is also a focus on the correct application of significant figures in the final result.

Discussion Status

Some participants confirm the calculations presented by the original poster, while others raise questions about the precision of the significant figures used in the final answer. The discussion appears to be productive, with participants engaging in clarification of details.

Contextual Notes

Participants are considering the implications of significant figures in the context of the problem, which may affect the final presentation of the answer.

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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