To calculate the rotational momentum (also known as angular momentum) of a linearly moving object when the tangential velocity is not perpendicular to the lever arm, you can use the formula:
Angular Momentum (L) = Moment of Inertia (I) × Angular Velocity (ω)
However, to use this formula, you need to know the moment of inertia and the angular velocity of the object. The moment of inertia depends on the object's mass distribution and its rotation axis. The angular velocity is the rate at which the object is rotating.
If the tangential velocity is not perpendicular to the lever arm, you can use the perpendicular component of the velocity to calculate the angular momentum. The perpendicular component represents the velocity component that is perpendicular to the lever arm.
The formula for the perpendicular component of velocity (v_perpendicular) is:
v_perpendicular = v × sin(θ)
Where: v is the magnitude of the tangential velocity θ is the angle between the tangential velocity vector and the lever arm vector.
Once you have the perpendicular component of velocity, you can use it in the formula for angular momentum:
L = I × ω
Please note that to calculate the angular velocity (ω), you might need additional information, such as the moment of inertia and the torque acting on the object. The specific calculation will depend on the details of the system and the problem you are trying to solve.