If a rotating object has a moment of inertia of 4 kg·m² and is spinning with an
Practice Questions
Q1
If a rotating object has a moment of inertia of 4 kg·m² and is spinning with an angular velocity of 3 rad/s, what is its angular momentum?
12 kg·m²/s
4 kg·m²/s
1 kg·m²/s
7 kg·m²/s
Questions & Step-by-Step Solutions
If a rotating object has a moment of inertia of 4 kg·m² and is spinning with an angular velocity of 3 rad/s, what is its angular momentum?
Step 1: Identify the moment of inertia (I) of the object, which is given as 4 kg·m².
Step 2: Identify the angular velocity (ω) of the object, which is given as 3 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 = 4 kg·m² * 3 rad/s.
Step 5: Calculate the result: 4 * 3 = 12 kg·m²/s.
Step 6: Conclude that the angular momentum of the object is 12 kg·m²/s.
Moment of Inertia – A measure of an object's resistance to changes in its rotation, dependent on the mass distribution relative to the axis of rotation.
Angular Velocity – The rate of rotation of an object, measured in radians per second.
Angular Momentum – A quantity that represents the rotational motion of an object, calculated as the product of moment of inertia and angular velocity.
