If a rotating body has an angular momentum of L and its moment of inertia is I,

If a rotating body has an angular momentum of L and its moment of inertia is I, what is the angular velocity ω of the body?

If a rotating body has an angular momentum of L and its moment of inertia is I, what is the angular velocity ω of the body?

Step 1: Understand that angular momentum (L) is a measure of how much motion a rotating body has.
Step 2: Know that moment of inertia (I) is a measure of how difficult it is to change the rotation of the body.
Step 3: Remember the formula that relates angular momentum, moment of inertia, and angular velocity: L = Iω.
Step 4: To find angular velocity (ω), rearrange the formula to solve for ω: ω = L/I.
Step 5: Plug in the values of L (angular momentum) and I (moment of inertia) into the formula to calculate ω.

Angular Momentum – Angular momentum (L) is the product of a body's moment of inertia (I) and its angular velocity (ω), representing the rotational motion of the body.
Moment of Inertia – Moment of inertia (I) is a measure of an object's resistance to changes in its rotation, depending on the mass distribution relative to the axis of rotation.
Angular Velocity – Angular velocity (ω) is the rate of change of angular position of a rotating body, typically measured in radians per second.