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12.79 Angular Momentum Conservation Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Physics Science worksheet provides structured practice on 12.79 Angular Momentum Conservation. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Angular Momentum Conservation: Select the correct angular-speed or rotational-motion outcome when angular momentum is conserved. Aligned to NGSS, CCSS Literacy and Mathematics, AP Physics, and selected state frameworks 12.79 - Angular Momentum Conservation: Corresponding standards/alignment: 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 12.79 Angular Momentum Conservation skill assessments:

Problem 1Difficulty: Mastery

A skater with I = 2.0 kg*m² spins at 5.0 rad/s and then catches another skater who adds 3.0 kg*m² of rotational inertia while initially not rotating. If external torque is negligible, what is the final angular speed?

A1.0 rad/s.

B5.0 rad/s.

C12.5 rad/s.

D2.0 rad/s.

Solution & Explanation:Initial angular momentum is 2.0(5.0) = 10. Total final I is 5.0 kg*m², so omega_f = 10/5.0 = 2.0 rad/s.

Problem 2Difficulty: Mastery

An isolated rotating system keeps the same angular momentum while its mass at a fixed radius doubles. If radius and total angular momentum stay the same, what happens to angular speed?

AIt doubles.

BIt stays the same.

CIt is cut in half.

DIt becomes four times as large.

Solution & Explanation:For mass at a fixed radius, I is proportional to mass. Doubling the mass doubles I, so omega must be halved to keep I omega constant.

Problem 3Difficulty: Mastery

Which graph shape best represents angular speed omega versus moment of inertia I for an isolated system with constant angular momentum?

AA straight increasing line through the origin.

BA decreasing inverse curve where omega is proportional to 1/I.

CA horizontal line because omega is constant.

DA parabola opening upward because omega is proportional to I².

Solution & Explanation:With L fixed, omega = L/I. That relationship is inverse, so the omega-versus-I graph is a decreasing hyperbola.

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Frequently Asked Questions

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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 12.79 (Corresponding standards/alignment: 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.).