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12.76 Moment of Inertia Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Physics Science worksheet provides structured practice on 12.76 Moment of Inertia. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Moment of Inertia: Compare rotational inertia for objects with different mass distributions and axes of rotation. Aligned to NGSS, CCSS Literacy and Mathematics, AP Physics, and selected state frameworks 12.76 - Moment of Inertia: 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 12.76 Moment of Inertia skill assessments:

Problem 1Difficulty: Mastery

A designer can make one change to a 1.0 kg adjustable flywheel. Which change gives the largest increase in moment of inertia?

AAdd 0.10 kg at radius 0.20 m.

BMove 0.30 kg of mass from radius 0.40 m to radius 0.50 m.

CMove 0.30 kg of mass from radius 0.50 m to radius 0.10 m.

DMove 0.30 kg of mass from radius 0.10 m to radius 0.50 m.

Solution & Explanation:The increase from moving 0.30 kg from 0.10 m to 0.50 m is 0.30(0.50² - 0.10²) = 0.072 kg*m², larger than the listed alternatives. Moving mass outward matters most when the radius change is large.

Problem 2Difficulty: Mastery

A student says, "If a disk's radius doubles, its moment of inertia must always increase by a factor of 4." Which response is most accurate?

AThat is always true for every disk because I depends only on radius.

BThat is never true because moment of inertia does not depend on radius.

CThat is true only when the disk's mass is held constant; if same material and thickness are held constant, the factor is 16.

DThat is true only when angular speed is doubled at the same time.

Solution & Explanation:For a same-mass disk, I = 1/2MR² gives a factor of 4 when R doubles. But if the disk is made of the same material and thickness, mass also increases by a factor of 4, making I increase by 16.

Problem 3Difficulty: Mastery

A rotor has two 0.20 kg beads at radius 0.50 m and one 0.40 kg bead at radius 0.25 m. The support arms are negligible. What is the total moment of inertia?

A0.075 kg*m²

B0.125 kg*m²

C0.150 kg*m²

D0.250 kg*m²

Solution & Explanation:The two outer beads contribute 2(0.20)(0.50)² = 0.100 kg*m². The inner bead contributes (0.40)(0.25)² = 0.025 kg*m². Total I = 0.125 kg*m².

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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 12.76 (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.).