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If a rotating object has a moment of inertia of I and is rotating with an angula
If a rotating object has a moment of inertia of I and is rotating with an angular velocity ω, what is its rotational kinetic energy?
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Practice Questions
1 question
Q1
If a rotating object has a moment of inertia of I and is rotating with an angular velocity ω, what is its rotational kinetic energy?
1/2 Iω
1/2 Iω^2
Iω^2
Iω
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The rotational kinetic energy is given by KE = 1/2 Iω^2.
Questions & Step-by-step Solutions
1 item
Q
Q: If a rotating object has a moment of inertia of I and is rotating with an angular velocity ω, what is its rotational kinetic energy?
Solution:
The rotational kinetic energy is given by KE = 1/2 Iω^2.
Steps: 5
Show Steps
Step 1: Understand that moment of inertia (I) is a measure of how difficult it is to change the rotation of an object.
Step 2: Know that angular velocity (ω) is how fast the object is spinning.
Step 3: The formula for rotational kinetic energy (KE) combines these two concepts.
Step 4: The formula is KE = 1/2 Iω^2, which means you take half of the moment of inertia and multiply it by the square of the angular velocity.
Step 5: To find the rotational kinetic energy, plug in the values of I and ω into the formula.
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