Rotational Momentum (L): kg·m²/s
Rotational Momentum Calculator
Rotational momentum, also known as angular momentum, is a physical quantity that describes the rotational motion of an object. To calculate rotational momentum, you can use the following formula:
Rotational Momentum (L) = Moment of Inertia (I) x Angular Velocity (ω)
Where:
Rotational Momentum (L)
is the rotational momentum of the object, typically measured in kilogram meters squared per second (kg·m²/s).
Moment of Inertia (I)
Moment of inertia is a measure of an object’s resistance to changes in its rotational motion due to its mass distribution. It is measured in kilogram meters squared (kg·m²).
Angular Velocity (ω)
Angular velocity Is the rate at which an object rotates, typically measured in radians per second (rad/s).
To calculate the rotational momentum of an object, you need to know both its moment of inertia and angular velocity. The formula tells us that the greater the moment of inertia or angular velocity, the greater the rotational momentum will be.
The moment of inertia depends on the shape and mass distribution of the object, and it can vary significantly from one object to another. Angular velocity, on the other hand, is determined by how fast the object is rotating.
In practical applications, you may need to use specific formulas for calculating the moment of inertia for different shapes (e.g., for a solid disk, a rod, a sphere, etc.). Once you have the moment of inertia and angular velocity, you can plug them into the formula to find the rotational momentum of the object.