Chapter 7 Rotational Motion & Law of Gravity

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Presentation transcript:

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.

Example: Tangential Speed Horses on a carousel move at the same angular speed but different tangential 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 α is 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!!