Free Printable WorksheetScienceGrade 12Science Curriculum12.73

12.73 Torque and Lever Arms Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Physics Science worksheet provides structured practice on 12.73 Torque and Lever Arms. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Torque and Lever Arms: Calculate or compare torque using force, lever arm, angle, and rotational direction. Aligned to NGSS, CCSS Literacy and Mathematics, AP Physics, and selected state frameworks 12.73 - Torque and Lever Arms: 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 12.73 Torque and Lever Arms skill assessments:

Problem 1Difficulty: Mastery

Four forces act separately on the same pivoted lever: A gives +10 N·m, B gives +7.5 N·m, C gives -15 N·m, and D gives +8 N·m. Which force has the greatest clockwise torque magnitude?

AForce C

BForce A

CForce B

DForce D

Solution & Explanation:Clockwise torque is negative under the stated sign convention. Force C is the only clockwise torque listed and has magnitude 15 N·m.

Problem 2Difficulty: Mastery

A bolt requires 45 N·m of torque. A 0.25 m wrench is pulled at a 60° angle to the handle. What force magnitude is required? Use sin60° = 0.866.

A104 N

B208 N

C156 N

D312 N

Solution & Explanation:F = tau/(r sin theta) = 45 / [(0.25)(0.866)] ≈ 45/0.2165 ≈ 208 N.

Problem 3Difficulty: Mastery

Which described diagram would produce a +12 N·m torque about a center pivot if counterclockwise is positive?

AA 30 N downward force 0.40 m to the right of the pivot

BA 30 N upward force 0.40 m to the left of the pivot

CA 30 N downward force 0.40 m to the left of the pivot

DA 20 N upward force 0.40 m to the right of the pivot

Solution & Explanation:A downward force on the left side gives counterclockwise torque, and its magnitude is (30)(0.40) = 12 N·m.

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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 12.73 (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.).