A wheel rotates with an angular velocity of 10 rad/s. What is its angular moment
Practice Questions
Q1
A wheel rotates with an angular velocity of 10 rad/s. What is its angular momentum if its moment of inertia is 2 kg·m²?
20 kg·m²/s
10 kg·m²/s
5 kg·m²/s
15 kg·m²/s
Questions & Step-by-Step Solutions
A wheel rotates with an angular velocity of 10 rad/s. What is its angular momentum if its moment of inertia is 2 kg·m²?
Step 1: Identify the given values. The angular velocity (ω) is 10 rad/s and the moment of inertia (I) is 2 kg·m².
Step 2: Use the formula for angular momentum (L), which is L = I × ω.
Step 3: Substitute the values into the formula: L = 2 kg·m² × 10 rad/s.
Step 4: Perform the multiplication: 2 × 10 = 20.
Step 5: Write the final answer: The angular momentum (L) is 20 kg·m²/s.
Angular Momentum – Angular momentum (L) is the product of the moment of inertia (I) and the angular velocity (ω) of a rotating object.
Moment of Inertia – Moment of inertia (I) 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 Velocity – Angular velocity (ω) is the rate of rotation of an object, measured in radians per second.
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