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Chapter 7 Rotational Motion & Law of Gravity. Section 7-2 Tangential and Centripetal Acceleration. Tangential Speed. Objects in circular motion have tangential speed. Tangential Speed of any point rotating about an axis is instantaneous linear speed of that point.
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Chapter 7Rotational Motion & Law of Gravity Section 7-2 Tangential and Centripetal Acceleration
Tangential Speed • Objects in circular motion have tangential speed. • Tangential Speed of any point rotating about an axis is instantaneous linear speed of that point.
Example: Tangential Speed • Horses on a carousel move at the same angular speed but differenttangential speeds.
Tangential Speed • Tangential Speed = distance from axis x angular speed. • Vt = r ω • Where r is Radius and ω is instantaneous angular speed (speed at that moment)
Practice with Sample 7E • Pg. 255
Tangential Acceleration • Tangential Acceleration is tangent to the circular path. • Tangential acceleration = distance from axis x angular acceleration • at = r α • Where r is Radius and αis instantaneous angular acceleration.
Practice with Sample 7F • Pg. 256
Centripetal Acceleration • ‘Center seeking’ acceleration. • Circular motion acceleration is due to change in direction.
Example: Centripetal Acceleration • Tangential and Centripetal accelerations are perpendicular.
Tangential Vs. Centripetal Acceleration • Tangential and Centripetal accelerations are not the same. • Tangential Component of acceleration is due to changing speed. • Centripetal component of acceleration is due to changing direction.
Formula: Centripetal Acceleration • Centripetal Acceleration = (tangential speed)2 / distance from axis • ac = vt2 / r • ac = r ω2
Sample Problem 7G • Pg. 258
Assignment • Practice 7E pg. 255 2-4 • Practice 7F pg. 256 2-3 • Practice 7G 2-5 • Eight problems Total!!