![]() If something has a bigger moment of inertia, it'll be harder to spin. So, the equation for torque is T = I x α. And, just like regular force, torque is also proportional to the moment of inertia and angular acceleration. It's the opposite of mass in the regular force equation, so it's like this: I = 1/m. The moment of inertia is like mass for spinning things. But, instead of acceleration, we use something called angular acceleration, which depends on how fast it's spinning and how far away from the center it is. It depends on how hard you're pushing on it and how far away from the center you're pushing. ![]() For things that spin, we use a different kind of force called torque. Ft is the net force, m is the object's mass, and at is the translational acceleration. The equation looks like this: Ft = m x at. Newton's law says that when there's a force acting on an object, it'll start moving in the same direction as that force. Where did the moment of inertia come from? The picture shows how far away the point is from the center of the spin.ĭiagram showing the distance of the axis of rotation r But, if we assume that all the mass is concentrated at one point, we can use a simpler equation. m2), m is the mass measured in kilograms (kg), and r is the perpendicular distance to the axis of rotation measured in metres (m).I is the moment of inertia measured in kilogram square metres (kg The moment of, we use a fancy mass of how far away it is from the center of the spin. In physics, we usually just pretend that all the mass is in one spot at the center of the object. The moment of inertia depends on how all those pieces are arranged around the center. Each piece has a different distance from the center of the spin. It's actually made up of lots of tiny pieces. When you spin something, it's not just one big chunk moving. The bigger the moment of inertia, the harder it is to spin. The moment of inertia is a fancy way of saying how hard it is to spin something around.
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