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12.78 Rotational Kinetic Energy Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Physics Science worksheet provides structured practice on 12.78 Rotational Kinetic Energy. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Rotational Kinetic Energy: Compare translational and rotational kinetic energy for spinning or rolling systems. Aligned to NGSS, CCSS Literacy and Mathematics, AP Physics, and selected state frameworks 12.78 - Rotational Kinetic Energy: NGSS HS-PS2-1/2/3; HS-ETS1 engineering connections; CCSS HSN-Q.A, HSA-CED.A, HSG-MG; AP Physics 1 Units 5-6; AP Physics C: Mechanics rotation enrichment; TX TEKS Physics §112.45(c); FL SC.912.P.12; VA PH.4; MA/CA/NY HS-PS2/ETS1.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Physics

Subject

Science

Domain

Science Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 12.78 Rotational Kinetic Energy skill assessments:

Problem 1Difficulty: Mastery

A uniform solid sphere and a hoop have the same mass, radius, and total kinetic energy while rolling without slipping. What is K_rot,hoop / K_rot,sphere?

A7/2

B5/2

D7/4

Solution & Explanation:With equal total kinetic energy, compare rotational fractions. A hoop's rotational fraction is 1/2, and a solid sphere's is 2/7. The ratio is (1/2)/(2/7) = 7/4.

Problem 2Difficulty: Mastery

Two flywheels have the same angular momentum L but different rotational inertias. Which one has greater rotational kinetic energy?

AThe flywheel with larger I

BThey must have equal kinetic energy.

CThe flywheel with smaller I

DThe one with larger radius regardless of I

Solution & Explanation:For a fixed angular momentum, K_rot = L²/(2I). Smaller rotational inertia means larger rotational kinetic energy.

Problem 3Difficulty: Mastery

A rolling object's rotational inertia coefficient k increases while its mass and total kinetic energy stay fixed. What happens to its center-of-mass speed?

AIt increases because rotational inertia adds speed.

BIt decreases because K_total = 1/2mv²(1+k).

CIt stays fixed because total kinetic energy is fixed.

DIt becomes independent of mass only when k is larger than 1.

Solution & Explanation:Solving for speed gives v = sqrt(2K_total/[m(1+k)]). A larger k makes the denominator larger, so v is smaller.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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QIs this 12.78 Rotational Kinetic Energy worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Physics Science students. It aligns with educational standard 12.78 (NGSS HS-PS2-1/2/3; HS-ETS1 engineering connections; CCSS HSN-Q.A, HSA-CED.A, HSG-MG; AP Physics 1 Units 5-6; AP Physics C: Mechanics rotation enrichment; TX TEKS Physics §112.45(c); FL SC.912.P.12; VA PH.4; MA/CA/NY HS-PS2/ETS1.).