If the moment of inertia of a body is 10 kg m², what is the angular momentum whe
Practice Questions
Q1
If the moment of inertia of a body is 10 kg m², what is the angular momentum when it rotates with an angular velocity of 5 rad/s?
50 kg m²/s
10 kg m²/s
5 kg m²/s
2 kg m²/s
Questions & Step-by-Step Solutions
If the moment of inertia of a body is 10 kg m², what is the angular momentum when it rotates with an angular velocity of 5 rad/s?
Step 1: Identify the moment of inertia (I) of the body, which is given as 10 kg m².
Step 2: Identify the angular velocity (ω) of the body, which is given as 5 rad/s.
Step 3: Use the formula for angular momentum (L), which is L = I * ω.
Step 4: Substitute the values into the formula: L = 10 kg m² * 5 rad/s.
Step 5: Calculate the result: L = 50 kg m²/s.
Moment of Inertia – The moment of inertia 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 Momentum – Angular momentum is the product of the moment of inertia and the angular velocity, representing the rotational equivalent of linear momentum.
Angular Velocity – Angular velocity is the rate of change of angular position of a rotating body, measured in radians per second.