Table of contents
- 0. Review of College Algebra4h 43m
- 1. Measuring Angles39m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
1. Measuring Angles
Angles in Standard Position
1:10 minutes
Problem 123
Textbook Question
Textbook QuestionSolve each problem. See Example 6. Revolutions of a Turntable A turntable in a shop makes 45 revolutions per min. How many revolutions does it make per second?
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Revolutions per Minute (RPM)
Revolutions per minute (RPM) is a unit of rotational speed that indicates how many complete turns an object makes in one minute. In this context, the turntable's speed is given as 45 RPM, meaning it completes 45 full rotations every minute. Understanding RPM is crucial for converting this measurement into other time units, such as seconds.
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Unit Conversion
Unit conversion is the process of converting a quantity expressed in one unit to another unit. In this problem, we need to convert revolutions per minute to revolutions per second. This involves dividing the RPM value by the number of seconds in a minute (60 seconds) to find the equivalent speed in revolutions per second.
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Basic Arithmetic Operations
Basic arithmetic operations, including addition, subtraction, multiplication, and division, are fundamental mathematical skills necessary for solving problems. In this case, division is used to convert the RPM to revolutions per second. Mastery of these operations is essential for accurately performing calculations in various mathematical contexts, including trigonometry.
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