paddlewheel99 said:How to Calculate Moment of Inertia for a flat rectangular plate of length 'l' & width 'w' with axis of rotation along the width 'w' (the axis of rotation is parrallel to edge of width)
Careful... that's the area moment of inertia. (You'd need to multiply by the density.)paddlewheel99 said:the equation is: I = bh^3/3
Moment of inertia is a measure of an object's resistance to changes in rotational motion. It is calculated by summing up the products of each particle's mass and its squared distance from the axis of rotation.
To calculate moment of inertia, you need to know the mass and geometry of the object. The formula for moment of inertia varies depending on the shape of the object, but it typically involves integrating the mass distribution over the object's volume or surface.
The unit of moment of inertia is typically expressed in kilograms per meter squared (kg/m2) in the SI system, or in slugs per square foot (slug/ft2) in the US system.
The shape of an object plays a significant role in determining its moment of inertia. Objects with more mass distributed further from the axis of rotation have a higher moment of inertia than objects with the same mass but a different distribution of mass.
Moment of inertia is important in understanding and predicting an object's rotational motion. It is also essential in designing and analyzing structures and machinery that involve rotational motion.