LINEAR AND ANGULAR SPEED Section 4 1 A

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LINEAR AND ANGULAR SPEED Section 4. 1 A Precalculus Pre. AP/Dual, Revised © 2016

LINEAR AND ANGULAR SPEED Section 4. 1 A Precalculus Pre. AP/Dual, Revised © 2016 viet. dang@humble. k 12. tx. us 1/1/2022 6: 47 PM 4. 1 A: Arc Length and Linear and Angular Speed 1

ANGULAR SPEED 1/1/2022 6: 47 PM 4. 1 A: Arc Length and Linear and

ANGULAR SPEED 1/1/2022 6: 47 PM 4. 1 A: Arc Length and Linear and Angular Speed 2

ANGULAR SPEED (ROTATION) Distance = Rate • Time 1/1/2022 6: 47 PM 4. 1

ANGULAR SPEED (ROTATION) Distance = Rate • Time 1/1/2022 6: 47 PM 4. 1 A: Arc Length and Linear and Angular Speed 3

EXAMPLE 1 The blades of the wind turbine are 116 feet long. The propeller

EXAMPLE 1 The blades of the wind turbine are 116 feet long. The propeller rotates at 15 revolutions per minute. Find the angular speed. 1/1/2022 6: 47 PM 4. 1 A: Arc Length and Linear and Angular Speed 4

EXAMPLE 1 The blades of the wind turbine are 116 feet long. The propeller

EXAMPLE 1 The blades of the wind turbine are 116 feet long. The propeller rotates at 15 revolutions per minute. Find the angular speed. 1/1/2022 6: 47 PM 4. 1 A: Arc Length and Linear and Angular Speed 5

EXAMPLE 2 A Ferris wheel at a carnival has a diameter of 52 feet.

EXAMPLE 2 A Ferris wheel at a carnival has a diameter of 52 feet. Suppose it turns at a rate of 2 revolutions per minute. Determine the angular speed. 1/1/2022 6: 47 PM 4. 1 A: Arc Length and Linear and Angular Speed 6

YOUR TURN The circular blade on a saw rotates at 4, 200 revolutions per

YOUR TURN The circular blade on a saw rotates at 4, 200 revolutions per minute. Determine the angular speed of radians per second. 1/1/2022 6: 47 PM 4. 1 A: Arc Length and Linear and Angular Speed 7

LINEAR SPEED 1/1/2022 6: 47 PM 4. 1 A: Arc Length and Linear and

LINEAR SPEED 1/1/2022 6: 47 PM 4. 1 A: Arc Length and Linear and Angular Speed 8

LINEAR SPEED (DISTANCE) Distance = Rate • Time 1/1/2022 6: 47 PM 4. 1

LINEAR SPEED (DISTANCE) Distance = Rate • Time 1/1/2022 6: 47 PM 4. 1 A: Arc Length and Linear and Angular Speed 9

EXAMPLE 3 The blades of the wind turbine are 116 feet long. The propeller

EXAMPLE 3 The blades of the wind turbine are 116 feet long. The propeller rotates at 15 revolutions per minute. Find the linear speed. 1/1/2022 6: 47 PM 4. 1 A: Arc Length and Linear and Angular Speed 10

EXAMPLE 3 The blades of the wind turbine are 116 feet long. The propeller

EXAMPLE 3 The blades of the wind turbine are 116 feet long. The propeller rotates at 15 revolutions per minute. Find the linear speed. 1/1/2022 6: 47 PM 4. 1 A: Arc Length and Linear and Angular Speed 11

EXAMPLE 4 A merry go round makes 8 revolutions per minute. The horse is

EXAMPLE 4 A merry go round makes 8 revolutions per minute. The horse is traveling with a radius of 12. How fast is the horse going in miles per hour? 1/1/2022 6: 47 PM 4. 1 A: Arc Length and Linear and Angular Speed 12

YOUR TURN The circular blade on a saw rotates at 4, 200 revolutions per

YOUR TURN The circular blade on a saw rotates at 4, 200 revolutions per minute. Find the linear speed where the blade is 6 inches. 1/1/2022 6: 47 PM 4. 1 A: Arc Length and Linear and Angular Speed 13

ASSIGNMENT Page 270 62 -67 all (omit 66) 1/1/2022 6: 47 PM 4. 1

ASSIGNMENT Page 270 62 -67 all (omit 66) 1/1/2022 6: 47 PM 4. 1 A: Arc Length and Linear and Angular Speed 14