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12.41 Uniform Circular Motion Variables Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Physics Science worksheet provides structured practice on 12.41 Uniform Circular Motion Variables. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Uniform Circular Motion Variables: Identify period, frequency, tangential speed, centripetal acceleration, and their relationships in circular motion. Aligned to NGSS, CCSS Literacy and Mathematics, AP Physics, and selected state frameworks 12.41 - Uniform Circular Motion Variables: NGSS HS-PS2-1, HS-PS2-4; HS-ESS1 connections; CCSS HSN-Q.A, HSF-IF, HSG-MG; AP Physics 1 circular/gravitation topics; AP Physics C: Mechanics enrichment; TX TEKS Physics §112.45(c); FL SC.912.P.12.4; VA PH.2-PH.3; MA/CA/NY HS-PS2/ESS1.

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 12.41 Uniform Circular Motion Variables skill assessments:

Problem 1Difficulty: Mastery

A system keeps centripetal acceleration fixed while radius changes from r to 9r. How do frequency and tangential speed change?

Afrequency triples and speed becomes one-third as large

Bfrequency becomes one-ninth as large and speed stays the same

Cfrequency stays the same and speed becomes nine times as large

Dfrequency becomes one-third as large and speed triples

Solution & Explanation:For fixed a_c, a_c = 4 pi² r f² shows f is proportional to 1/sqrt(r), so a radius of 9r makes f one-third as large. Since v = sqrt(a_c r), speed triples.

Problem 2Difficulty: Mastery

Which statement correctly separates tangential acceleration from centripetal acceleration in uniform circular motion?

ATangential acceleration is inward, while centripetal acceleration is tangent.

BBoth tangential and centripetal acceleration are zero.

CTangential acceleration is zero, while centripetal acceleration is nonzero and inward.

DTangential acceleration is nonzero because speed is constant.

Solution & Explanation:Uniform circular motion has constant speed, so tangential acceleration is zero. The direction of velocity changes, so centripetal acceleration is nonzero and points inward.

Problem 3Difficulty: Mastery

A particle sweeps through 120 degrees of a circular path in 0.20 s at constant speed. The radius is 2.0 m. What is its tangential speed?

A4.19 m/s

B20.9 m/s

C6.28 m/s

D62.8 m/s

Solution & Explanation:A 120-degree arc is one-third of a revolution, so the full period is 0.60 s. Then v = 2 pi(2.0)/0.60 = 20.9 m/s.

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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 12.41 (NGSS HS-PS2-1, HS-PS2-4; HS-ESS1 connections; CCSS HSN-Q.A, HSF-IF, HSG-MG; AP Physics 1 circular/gravitation topics; AP Physics C: Mechanics enrichment; TX TEKS Physics §112.45(c); FL SC.912.P.12.4; VA PH.2-PH.3; MA/CA/NY HS-PS2/ESS1.).