Lesson 53
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1. The document discusses unit multipliers for angular velocity, explaining that angular velocity is a vector quantity that measures the rate of rotation. It also discusses the relationship between linear and angular velocity, noting that linear velocity of a rotating object can be calculated from its angular velocity and radius. 2. Examples are given for converting between units of angular velocity like revolutions/minute to radians/second when calculating linear velocity. Converting units allows direct calculation and comparison of rates of rotation and linear motion. 3. Radian measure is dimensionless and can be inserted or removed from calculations as a convenience since it has no inherent units.
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Lesson 53
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- 3. 53. Unit Multipliers Angular Velocity.notebook March 18, 2013 linear velocity vector quantity of magnitude and direction angular velocity vector quantity measuring the rate of rotation of an object units of angular velocity deg deg rad rad rev rev s min s min s min
- 4. 53. Unit Multipliers Angular Velocity.notebook March 18, 2013 linear velocity of a point on a rotating body v = rw angular velocity linear velocity radius If the angular velocity is given in revolutions or degrees per unit time, they must be converted to radians to calculate linear velocity.
- 5. 53. Unit Multipliers Angular Velocity.notebook March 18, 2013 2. A wheel of a wagon has a radius of 14 inches and is revolving at 40 revolutions per minute (rev/min). How fast is the wagon moving in miles per hour?
- 6. 53. Unit Multipliers Angular Velocity.notebook March 18, 2013 3. An automobile whose wheels are 30 inches in diameter is traveling at 40 mph. What is the angular velocity of the wheels in revolutions per second?
- 7. 53. Unit Multipliers Angular Velocity.notebook March 18, 2013 Radian measure is dimensionless and the unit radian is used as a convenience. Radian can be inserted or deleted as convenient.