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If a rotating object has a moment of inertia of 4 kg·m² and is spinning with an
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?
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Practice Questions
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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
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Angular momentum L = Iω = 4 kg·m² * 3 rad/s = 12 kg·m²/s.
Questions & Step-by-step Solutions
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Q
Q: 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?
Solution:
Angular momentum L = Iω = 4 kg·m² * 3 rad/s = 12 kg·m²/s.
Steps: 6
Show Steps
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.
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