# Objective 2. I can convert angular velocity to linear velocity.

## Transcript Of Objective 2. I can convert angular velocity to linear velocity.

Linear and Angular Velocity#2.notebook

September 14, 2011

Objective 1. I can convert linear velocity to angular velocity. 2. I can convert angular velocity to linear velocity.

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Linear and Angular Velocity#2.notebook

September 14, 2011

Objective 1. I can convert linear velocity to angular velocity. 2. I can convert angular velocity to linear velocity.

Things that turn have both a linear velocity and an angular velocity

Things that Turn Examples

tire on a car or bike teeth on a gear a record on an old record player rope around a pulley on a Ferris seat wheel

hands on a clock

horse on a MerryGoRound

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Linear and Angular Velocity#2.notebook

September 14, 2011

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Linear and Angular Velocity#2.notebook

September 14, 2011

Objective 1. I can convert linear velocity to angular velocity. 2. I can convert angular velocity to linear velocity.

Definition:

Linear Velocity is distance/time:

Ex. 55 mph, 6 ft/sec, 27 cm/min, 4.5 m/sec

Definition:

Angular Velocity is turn/time:

Ex. 6 rev/min, 360°/day, 2π rad/hour

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Linear and Angular Velocity#2.notebook

September 14, 2011

Objective 1. I can convert linear velocity to angular velocity. 2. I can convert angular velocity to linear velocity.

Deriving a formula which relates the two velocities:

Definition of Linear Velocity:

Recall Arc Length Formulaà

Recall Definition of Angular Velocityà

Formula for Linear and Angular Velocity:

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Linear and Angular Velocity#2.notebook

September 14, 2011

Objective 1. I can convert linear velocity to angular velocity. 2. I can convert angular velocity to linear velocity.

1. A bicycle with 20in wheels is traveling down a road at 15 mi/h. Find the angular velocity of the wheel in revolutions per minute.

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Linear and Angular Velocity#2.notebook

September 14, 2011

Objective 1. I can convert linear velocity to angular velocity. 2. I can convert angular velocity to linear velocity.

2. A wheel 4 ft in diameter is rotating at 80 r/min. Find the distance (in feet) traveled by a point on the rim in 1 second, that is, the linear speed of the point in ft/s.

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Linear and Angular Velocity#2.notebook

September 14, 2011

Objective 1. I can convert linear velocity to angular velocity. 2. I can convert angular velocity to linear velocity.

1 A tire with a 9 inch radius is rotating at 30 mph. Find the angular velocity of a point on its rim. Express the result in revolutions per minute.

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Linear and Angular Velocity#2.notebook

September 14, 2011

Objective 1. I can convert linear velocity to angular velocity. 2. I can convert angular velocity to linear velocity.

5 Formulas to KNOW/MEMORIZE:

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September 14, 2011

Objective 1. I can convert linear velocity to angular velocity. 2. I can convert angular velocity to linear velocity.

1

Linear and Angular Velocity#2.notebook

September 14, 2011

Objective 1. I can convert linear velocity to angular velocity. 2. I can convert angular velocity to linear velocity.

Things that turn have both a linear velocity and an angular velocity

Things that Turn Examples

tire on a car or bike teeth on a gear a record on an old record player rope around a pulley on a Ferris seat wheel

hands on a clock

horse on a MerryGoRound

2

Linear and Angular Velocity#2.notebook

September 14, 2011

3

Linear and Angular Velocity#2.notebook

September 14, 2011

Objective 1. I can convert linear velocity to angular velocity. 2. I can convert angular velocity to linear velocity.

Definition:

Linear Velocity is distance/time:

Ex. 55 mph, 6 ft/sec, 27 cm/min, 4.5 m/sec

Definition:

Angular Velocity is turn/time:

Ex. 6 rev/min, 360°/day, 2π rad/hour

4

Linear and Angular Velocity#2.notebook

September 14, 2011

Objective 1. I can convert linear velocity to angular velocity. 2. I can convert angular velocity to linear velocity.

Deriving a formula which relates the two velocities:

Definition of Linear Velocity:

Recall Arc Length Formulaà

Recall Definition of Angular Velocityà

Formula for Linear and Angular Velocity:

5

Linear and Angular Velocity#2.notebook

September 14, 2011

Objective 1. I can convert linear velocity to angular velocity. 2. I can convert angular velocity to linear velocity.

1. A bicycle with 20in wheels is traveling down a road at 15 mi/h. Find the angular velocity of the wheel in revolutions per minute.

6

Linear and Angular Velocity#2.notebook

September 14, 2011

Objective 1. I can convert linear velocity to angular velocity. 2. I can convert angular velocity to linear velocity.

2. A wheel 4 ft in diameter is rotating at 80 r/min. Find the distance (in feet) traveled by a point on the rim in 1 second, that is, the linear speed of the point in ft/s.

7

Linear and Angular Velocity#2.notebook

September 14, 2011

Objective 1. I can convert linear velocity to angular velocity. 2. I can convert angular velocity to linear velocity.

1 A tire with a 9 inch radius is rotating at 30 mph. Find the angular velocity of a point on its rim. Express the result in revolutions per minute.

8

Linear and Angular Velocity#2.notebook

September 14, 2011

Objective 1. I can convert linear velocity to angular velocity. 2. I can convert angular velocity to linear velocity.

5 Formulas to KNOW/MEMORIZE:

9