Angular momentum is defined as
Angular momentum is defined as Correct Answer the moment of linear momentum in a body
The correct answer is option 4) i.e. the moment of linear momentum in a body
CONCEPT:
- The moment is defined as the turning effect of a force acting on a body, that causes the body to rotate about a fixed point.
Moment due to a force F is given by = F × perpendicular distance between the fixed point and point of application of force.
- Linear momentum is defined as the impact due to a moving object.
It is given by:
P = mv
Where m is the mass of the object and v is the linear velocity of the moving object.
- Angular momentum is the rotational equivalent of linear momentum.
It is given by:
L = Iω
Where I is the moment of inertia and ω is the angular velocity of an object moving along a curved path of radius r (ω = v/r).
EXPLANATION:
Moment of linear momentum = perpendicular distance × linear momentum = r × P (The perpendicular distance for an object in circular path is its radius)
⇒ r × P = r × mv = r × m(rω) = mr2ω = Iω = L. (∵ mr2 = moment of inertia)
Thus, angular momentum is the moment of linear momentum in a body.
Additional Information
- Mass is a measure of inertia of the body.
- The moment of force is the product of a force on an object and the distance from the reference point to the object i.e. torque.
- Momentum is the quantity of motion of a body.
