What is the moment of inertia (I) of a solid sphere?

AP Physics 1 Rotation

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Physics
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11th - 12th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
I = (2/5)mr², where m is mass and r is radius.
2.
FLASHCARD QUESTION
Front
What is the formula for linear speed (v) of a rolling object down a ramp from height (h)?
Back
v = √(2gh/(1 + (I/mr²))) for a solid sphere, v = √(5gh/7) when I = (2/5)mr².
3.
FLASHCARD QUESTION
Front
What is rotational speed?
Back
Rotational speed is the number of rotations or revolutions per unit time, typically measured in revolutions per minute (RPM) or radians per second.
4.
FLASHCARD QUESTION
Front
Which unit is NOT a unit of rotational speed?
Back
Meters per second.
5.
FLASHCARD QUESTION
Front
What is the relationship between linear speed and rotational speed?
Back
Linear speed (v) = radius (r) × angular speed (ω).
6.
FLASHCARD QUESTION
Front
How do you calculate average angular acceleration (α)?
Back
α = (final angular velocity - initial angular velocity) / time.
7.
FLASHCARD QUESTION
Front
What is the average angular acceleration of a wheel that speeds up from 2.0 rad/s to 11.0 rad/s in 5.5 seconds?
Back
1.6 rad/s².
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