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If a rotating body has an angular momentum of L and its moment of inertia is I,
If a rotating body has an angular momentum of L and its moment of inertia is I, what is the angular velocity ω of the body?
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Practice Questions
1 question
Q1
If a rotating body has an angular momentum of L and its moment of inertia is I, what is the angular velocity ω of the body?
L/I
I/L
L^2/I
I^2/L
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Angular momentum L = Iω, thus ω = L/I.
Questions & Step-by-step Solutions
1 item
Q
Q: If a rotating body has an angular momentum of L and its moment of inertia is I, what is the angular velocity ω of the body?
Solution:
Angular momentum L = Iω, thus ω = L/I.
Steps: 5
Show Steps
Step 1: Understand that angular momentum (L) is a measure of how much motion a rotating body has.
Step 2: Know that moment of inertia (I) is a measure of how difficult it is to change the rotation of the body.
Step 3: Remember the formula that relates angular momentum, moment of inertia, and angular velocity: L = Iω.
Step 4: To find angular velocity (ω), rearrange the formula to solve for ω: ω = L/I.
Step 5: Plug in the values of L (angular momentum) and I (moment of inertia) into the formula to calculate ω.
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