If a rotating object has a moment of inertia of 5 kg·m² and is rotating with an
Practice Questions
Q1
If a rotating object has a moment of inertia of 5 kg·m² and is rotating with an angular velocity of 3 rad/s, what is its angular momentum?
15 kg·m²/s
5 kg·m²/s
8 kg·m²/s
10 kg·m²/s
Questions & Step-by-Step Solutions
If a rotating object has a moment of inertia of 5 kg·m² and is rotating 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 5 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 = 5 kg·m² * 3 rad/s.
Step 5: Calculate the result: L = 15 kg·m²/s.
Angular Momentum – Angular momentum (L) is a measure of the rotational motion of an object, calculated as the product of its moment of inertia (I) and its angular velocity (ω).
Moment of Inertia – Moment of inertia (I) is a scalar value that represents how mass is distributed relative to the axis of rotation, affecting how much torque is needed for a desired angular acceleration.
Angular Velocity – Angular velocity (ω) is the rate of rotation of an object, measured in radians per second (rad/s).