* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Circular Motion
Survey
Document related concepts
Hunting oscillation wikipedia , lookup
Derivations of the Lorentz transformations wikipedia , lookup
Faster-than-light wikipedia , lookup
Modified Newtonian dynamics wikipedia , lookup
Velocity-addition formula wikipedia , lookup
Classical mechanics wikipedia , lookup
Mass versus weight wikipedia , lookup
Rigid body dynamics wikipedia , lookup
Coriolis force wikipedia , lookup
Newton's theorem of revolving orbits wikipedia , lookup
Jerk (physics) wikipedia , lookup
Equations of motion wikipedia , lookup
Fictitious force wikipedia , lookup
Centrifugal force wikipedia , lookup
Newton's laws of motion wikipedia , lookup
Transcript
Circular Motion Uniform circular motion (UCM) is the motion of an object in a perfect circle with a constant (or uniform) speed. • Another example of this would be you driving in a perfect circle at a constant speed. • Are you accelerating? Constant or changing? • Do you feel pushed? Is there a force causing you to accelerate? What is the equation to find the speed of an object experiencing UCM? • v = d/t • v = (circumference of circle) (time to travel around the circle’s path) Since we are talking about a circular path this equation would change to: v=2πr T units: (m) (s) T is the time for one cycle, aka, the period. How would you describe the velocity in this situation where an object is moving in a circle? • The velocity of an object moving in a circle is constantly changing! • We say the velocity vector is Tangent to the circular path of travel and call it the Tangential velocity. Since the velocity is changing we can say an object moving in a circle is accelerating. • Since the velocity is changing at a constant rate, we can say the acceleration is constant for an object experiencing Uniform Circular Motion. • What is the direction of the acceleration? • Show accelerometer on turn table! • Acceleration is inward toward the center of the circular path! • Called Centripetal Acceleration! • (centripetal = center-seeking) Remember from Newton’s First and Second Law, if there is a change in velocity there must be an outside force causing this acceleration. • When you spin a bucket of water around your head, what direction do you apply a force on the bucket? Remember from Newton’s Second Law: the direction of the net force is always the same as the direction of the acceleration! The force causing an object to move in a circular path is an inward seeking force and is called the Centripetal Force. Centripetal = center seeking Do not confuse this with Centrifugal Force which is a description for the FEELING of being pushed outward.(fake!) Centripetal – inward (center) seeking, real. Centrifugal – outward fleeing, fake. The Math This is it for the math Force centripetal can be provided by… • Tension Force (the tension in a string or rope) • Friction Force (the friction between tires and road, or shoe and ground) • Gravity Force (Earth experiences a force due to gravity while moving around the sun) • Walls of a ride (amusement park ride) http://www.youtube.com/watch?v=GauoEdyMZwY&feature=related http://www.youtube.com/watch?v=EnyKq7pO-c8&feature=related