Paul Dawkins
Paul's Online Notes: Calculus Ii: Applications of Integrals
The resource examines applications of integration. Topics investigated are arc length, surface area, center of mass, hydrostatic pressure, and probability density functions. Class notes, definitions, and examples with detailed solutions...
Lawrence Hall of Science
The Math Page: Trigonometry: Radian Measure
Here is a site that clearly and thoroughly explains the radian measure of angles. There are example problems solved, problems for the student to attempt, and answers to the student problems.
Pennsylvania State University
Acoustics and Vibration Animations: Demonstrations: The Simple Pendulum
A series of graphics, downloadable animations and text describe and explain the motion of a pendulum. Some sections require an understanding of calculus.
University of Maryland
Thinking Problems in Oscillations and Waves: Pendulum
A series of thought-intensive, multichoice questions concerning pendulums and provided for by the University of Maryland. A downloadable software program on pendulums is also included.
Interactive Mathematics
Interactive Mathematics: Applications of Radian Measure
After demonstrating how to find arc length and sector area using radian measures, student can practice the concepts with the examples provided and play an interactive game involving angular velocity.
OpenStax
Open Stax: Rotation Angle and Angular Velocity
In the following interactive students will begin to define arc length, rotation angle, radius of curvature and angular velocity. They will also calculate the angular velocity of a car wheel spin.
Texas Education Agency
Texas Gateway: Circular Motion & Gravitation: Rotation Angle & Angular Velocity
By the end of this section, you will be able to define arc length, rotation angle, radius of curvature, and angular velocity; and to calculate the angular velocity of a car wheel spin.
Khan Academy
Khan Academy: Challenge Problems: Inscribed Angles
Solve two challenging problems that apply the inscribed angle theorem to find an arc measure or an arc length.
Texas Instruments
Texas Instruments: Applications of Integrals
Use the TI-89 to find the area between curves, find arc length, and solve first and second order differential equations. Examples in the activity use calculator screenprints and keystroke instructions to demonstrate the use of the...
Mangahigh
Mangahigh: Shape: Circumference of a Circle
Determine the circumference of a circle or simple arc lengths.
Khan Academy
Khan Academy: Inscribed Angles
Practice the relationship between inscribed and central angles that are subtended by the same arc length. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Inscribed Angles
Practice the relationship between inscribed & central angles that are subtended by the same arc length.
Cuemath
Cuemath: What Is a Radian?
A comprehensive guide for learning all about radians with definitions, formulas, the arc length formula, angles, the circumference, the radius, solved examples, and practice questions.
Khan Academy
Khan Academy: Challenge Problems: Inscribed Shapes
Solve three challenging problems that apply properties of inscribed shapes to find an arc length or a missing angle.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Applications of Integrals
Hotmath provides 24 practice problems dealing with integral applications. Each of the practice problems include a step-by-step guide for solving their application.
University of St. Andrews (UK)
University of St. Andrews: Elliptic Functions
Good site with many of the elliptic functions given.
Johan Claeys
Math Abundance: The Circle: Basic Concepts
Goes over the equation of a circle, parametric equations of a circle, intersection of circle and line, tangent line in a point of a circle, etc.
Math Open Reference
Math Open Reference: Horizontal
Learn about arc length with this handy reference guide. Provides a detailed definition examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Math Open Reference
Math Open Reference: Vertex
Learn about arc length with this handy reference guide. Provides a detailed definition and examples enhance further explanation. Includes links to related topics.
University of Cambridge
University of Cambridge: Maths and Sports: Track Design
You are designing and marking out the running track for a new Olympic stadium. Where should the staggered starting positions be marked for the 200m and 400m events? This activity is aimed at Key Stage 4 students (age 14-16).
CK-12 Foundation
Ck 12: Trigonometry: Radian Measure
[Free Registration/Login may be required to access all resource tools.] Define Radian Measure and Critical Angles in Radians.
Sophia Learning
Sophia: Components of Circular Motion
A video lesson that introduces the components of circular motion. Understand that any objects that rotates around a point is in circular motion. Video also explores how to measure how far an object has rotated. Video gives equation for...
Lawrence Hall of Science
The Math Page: Trigonometry
Concepts in Trigonometry are explained and illustrated here by a member of the math department at Borough of Manhattan Community College.
Texas Education Agency
Texas Gateway: Ap Physics: Uniform Circular Motion and Gravitation: Glossary
This is a glossary of terms and definitions used in Chapter 6: Uniform Circular Motion and Gravitation from the AP Physics online text.
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