Rotational Kinetic Energy

What is the formula for calculating rotational kinetic energy?

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DOK Level 1: Recall

• Acceleration

• Force

• Angular velocity

• Mass

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DOK Level 1: Recall

If the angular velocity of a rotating object doubles, what happens to its rotational kinetic energy?

• It doubles

• It quadruples

• It remains the same

• It halves

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DOK Level 2: Skill/Concept

Which of the following factors does not affect the rotational inertia of an object?

• The mass of the object

• The shape of the object

• The color of the object

• The distribution of mass around the axis of rotation

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DOK Level 2: Skill/Concept

• 10 J

• 20 J

• 40 J

• 80 J

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DOK Level 2: Skill/Concept

A figure skater pulls her arms in to spin faster. This is an example of conservation of:

• Linear momentum

• Angular momentum

• Kinetic energy

• Potential energy

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DOK Level 2: Skill/Concept

Design a method to experimentally determine the relationship between angular velocity and rotational kinetic energy.

• Measure the speed of different rotating objects

• Change the mass of a rotating object and measure its speed

• Vary the angular velocity of a rotating object and measure the kinetic energy

• Keep the angular velocity constant and vary the mass

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DOK Level 3: Strategic Thinking

How would increasing the distance of mass from the axis of rotation affect the rotational inertia?

• It decreases

• It increases

• It remains unchanged

• It first increases then decreases

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DOK Level 3: Strategic Thinking

A disk and a ring have the same mass and radius, but the ring has all its mass at the rim. Which has a greater rotational inertia?

• The disk

• The ring

• Both have the same

• Cannot be determined without additional information

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DOK Level 3: Strategic Thinking

What is the effect of doubling the mass on the rotational inertia of an object, assuming the shape and distribution remain constant?

• It doubles

• It quadruples

• It remains the same

• It halves