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12.72 Rotational Kinematics Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Physics Science worksheet provides structured practice on 12.72 Rotational Kinematics. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Rotational Kinematics: Select the equation or graph interpretation for objects rotating with constant angular acceleration. Aligned to NGSS, CCSS Literacy and Mathematics, AP Physics, and selected state frameworks 12.72 - Rotational Kinematics: 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 12.72 Rotational Kinematics skill assessments:

Problem 1Difficulty: Mastery

A disk has omega_i = 9 rad/s and constant alpha = -1.5 rad/s². Before it stops, which theta-time graph feature should appear?

Aa decreasing curve that is concave up and becomes steeper

Ba horizontal line because alpha is nonzero

Ca vertical line at the stopping time

Dan increasing curve that is concave down and becomes less steep

Solution & Explanation:The disk initially has positive omega, so theta increases. Negative constant alpha reduces the slope of theta(t), making the graph concave down until the slope reaches zero.

Problem 2Difficulty: Mastery

The accompanying three-panel graph shows alpha(t) constant at +2 rad/s², omega(t) rising from 3 rad/s to 11 rad/s over 4 s, and theta(t) rising from 0 rad to 28 rad. Which statement connects the panels correctly?

AThe theta-time area changes omega by 8 rad/s, and the alpha-time slope gives 28 rad.

BThe omega-time slope gives 28 rad, and the theta-time area gives alpha.

CThe alpha-time area changes omega by 8 rad/s, and the omega-time area gives 28 rad of angular displacement.

DThe panels cannot be consistent because theta-time graphs cannot curve.

Solution & Explanation:The alpha-time area is 2(4) = 8 rad/s, matching the omega change from 3 to 11 rad/s. The omega-time area is average omega 7 rad/s times 4 s = 28 rad, matching theta.

Problem 3Difficulty: Mastery

Taking the slope of theta(t) = theta_0 + omega_i t + 1/2 alpha t² gives which graph relationship?

Aalpha(t) = theta_0 + omega_i t, so alpha-time slope is theta

Bomega(t) = omega_i + alpha t, so omega-time slope is alpha

Ctheta(t) = omega_i + alpha t, so theta-time is always linear

Domega(t) = 1/2 alpha t², so omega-time is always parabolic

Solution & Explanation:The derivative or slope of angular position with respect to time is angular velocity: omega(t) = omega_i + alpha t. That is a straight line whose slope is alpha.

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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 12.72 (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.).