כיצד לחשב את Rotational K E
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Rotational kinetic energy is the energy of spinning objects. It depends on both moment of inertia and angular velocity, analogous to translational kinetic energy.
נוסחה
The calculator applies KE_rot = ½ × I × ω²
- I
- I value — Variable used in the calculation
מדריך שלב אחר שלב
- 1Enter the moment of inertia (I) and angular velocity (ω)
- 2The calculator applies KE_rot = ½ × I × ω²
- 3Results show rotational energy in joules
Worked Examples
קלט
I = 2 kg·m², ω = 10 rad/s
תוצאה
KE_rot = 100 J
Compare to ½mv²
Common Mistakes to Avoid
- ✕Using linear mass instead of moment of inertia in the formula
- ✕Forgetting to square the angular velocity
Frequently Asked Questions
How does moment of inertia relate to mass distribution?
Objects with mass concentrated far from the rotation axis have higher moment of inertia and require more energy to spin.
Can kinetic energy be converted between rotational and translational?
Yes, rolling objects convert between both types; the total kinetic energy is the sum of both components.
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