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The '''moment of [[inertia]]''' is a measure of a [[mass]] and its distance [[perpendicular]] to an [[axis]] of rotation.
 
The '''moment of [[inertia]]''' is a measure of a [[mass]] and its distance [[perpendicular]] to an [[axis]] of rotation.
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Mathematically, the moment of inertia ''I'' for a mass ''m'' that is moving a perpendicular distance of ''r'' from an axis is expressed as:
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Mathematically, the moment of inertia ''I'' for a mass ''m'' that is moving a perpendicular distance of ''r'' from an axis is expressed as:
 
:<big><big><math>I = \int r^2 \,dm</math>
 
:<big><big><math>I = \int r^2 \,dm</math>
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The formula for a moment of inertia is the result of combining the equation for [[kinetic energy]] with the equation for angular velocity.
    
[[category:physics]]
 
[[category:physics]]
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[[Category:calculus]]
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