Circular Motion Centripetal Acceleration. Revisiting Acceleration What is acceleration? Acceleration is how fast an object’s velocity changes. But what.

Slides:

Advertisements

Similar presentations

Uniform circular motion – Another specific example of 2D motion

Advertisements

Circular Motion. Circular Motion: Description & Causes Circular motion is motion along a circular path due to the influence of a centripetal force. [Note:

Uniform Circular Motion. Answer Me!!!!  Newton’s Laws state that an object in motion will stay at the same velocity until acted upon by an unbalanced.

Chapter 8: Rotational Kinematics Lecture Notes

Circular Motion. Speed/Velocity in a Circle Consider an object moving in a circle around a specific origin. The DISTANCE the object covers in ONE REVOLUTION.

Rotational Motion. Rotational motion is the motion of a body about an internal axis. In rotational motion the axis of motion is part of the moving object.

Circular Motion M. Jones Pisgah High School (Ret.) 11/09/12 A derivation of the equations for Centripetal Acceleration and Centripetal Force.

Rotational Motion = Uniform Circular Motion r r v2v2 v1v1 7v7v 2 2 a b Chord ab c d e f Using similar triangles abc def Where r is.

Circular Motion Matthew LuckJimmy Maertens Veric BrownDuncan Spence.

Acceleration & Speed How fast does it go?. Definition of Motion Event that involves a change in the position or location of something.

Chapter 7 Circular Motion.

Tangential and Centripetal Accelerations

Circular Motion – Sect. 4.4: Uniform Circular Motion. Sect. 4.5: Tangential & Radial Acceleration.

ROTATIONAL MOTION Uniform Circular Motion

Rotational Motion Comparison of Angular Motion with One-dimensional Horizontal Motion Distance traveled is replaced by the angle traveled around the circle.

1 Circular Motion Suppose you drive a go cart in a perfect circle at a constant speed. Even though your speed isn’t changing, you are accelerating. This.

Circular Motion. Uniform Circular Motion Motion of an object at constant speed along a circular path.

Centripetal Motion Motion towards the center of a circle.

Uniform Circular Motion. What is uniform circular motion? 4 Movement of an object at constant speed around a circle with a fixed radius 4 Can the velocity.

Circular Motion Chapter 9. Circular Motion Axis – is the straight line around which rotation takes place. Internal Axis - is located within the body of.

7-3 Circular Motion. As an object travels in uniform circular motion Its tangential speed remains constant The direction of its velocity is constantly.

Circular Motion. Uniform Circular Motion Speed of object may be constant Velocity is constantly changing Direction of the velocity is tangent to the circle.

Centripetal Acceleration is a vector quantity because it has both direction and magnitude. Centripetal Acceleration is defined as an acceleration experienced.

Circular motion Objectives: understand that acceleration is present when the magnitude of the velocity, or its direction, or both change; understand that.

Circular Motion Deriving the formula for centripetal acceleration.

CIRCULAR MOTION. WHAT IS UNIFORM CIRCULAR MOTION The motion of an object in a circle at constant speed. However, direction and therefore velocity are.

Notes from 12/9 Kathia. a c : the acceleration of an object moving in a uniform circular path (constant speed / radius) is due to a change in direction.

Uniform Circular Motion Definition: the motion of an object in a circular path with a constant speed Homework: Read pages 153 – 156 P 156 Answer questions:

Circular motion.

CHAPTER 5 CIRCULAR MOTION AND GRAVITATION Kinetics of Uniform Circular Motion An object moving in circular motion is in constant acceleration, even if.

Circular Motion. Demo 1: Newtonian Mountain Newton's Cannon on a Mountain Newton's Cannon on a Mountain What force causes circular motion? What happens.

Circular Motion A brief intro.. Uniform Circular Motion UCM is the movement of an object or particle trajectory at a constant speed around a circle with.

Uniform Circular Motion. Acceleration When an object moves at a constant speed in a circular path, it is constantly changing direction – accelerating.

Uniform Circular Motion. Motion of an object moving in a circle at constant speed. Motion of an object moving in a circle at constant speed. The linear.

Circular Motion Section 7.3

Circular Motion = the movement of an object at constant speed around a circle with fixed radius Axis – straight line around which rotation takes place.

PRINCIPLES OF PHYSICS Circular Motion. When an object moves in a circle its path is described by: Radius (r) – distance from the center to the perimeter.

المحاضرة الخامسة. 4.1 The Position, Velocity, and Acceleration Vectors The position of a particle by its position vector r, drawn from the origin of some.

Circular Motion By: Heather Britton. Circular Motion Uniform circular motion - the motion of an object traveling at constant speed along a circular path.

Circular Motion Centri____ Force. Frequency vs. Period Period (T)- The time it takes for one full rotation or revolution of an object in seconds. Frequency.

Set 4 Circles and Newton February 3, Where Are We Today –Quick review of the examination – we finish one topic from the last chapter – circular.

C H A P T E R 5 Dynamics of Uniform Circular Motion.

Proportionality between the velocity V and radius r

Circular Motion. Period and Frequency A CD rotates in a player at a constant speed of 240 rpm. –How frequently does it complete a revolution: In minutes?

Gravitation. Gravitational Force the mutual force of attraction between particles of matter Newton’s Law of Universal Gravitation F g =G(m 1* m 2 /r 2.

Dynamics of Uniform Circular Motion Uniform Circular Motion Centripetal Acceleration Centripetal Force Satellites in Circular Orbits Vertical Circular.

Circular Motion. Speed/Velocity in a Circle Consider an object moving in a circle around a specific origin. The DISTANCE the object covers in ONE REVOLUTION.

1 Uniform Circular Motion SP1. Students will analyze the relationships between force, mass, gravity, and the motion of objects. g. Measure and calculate.

Circular Motion Chapter 9 in the Textbook Chapter 6 is PSE pg. 81.

Chapter 9 Circular Motion. Axis: The straight line about which rotation takes place Rotation: Spin, when an object turns about an internal axis Revolution:

Projectiles Motion in Two Dimensions Chapter 7. Projectile An object launched into the air by a force Trajectory The path followed by a projectile.

Uniform circular motion is the motion of an object traveling at a constant speed on a circular path. Uniform Circular Motion.

4.1 Motion in a Circle p. 120 Gravity and Motion The force that keeps a body firmly attached to the ground is the same force that keeps the Moon in orbit.

Unit 4 Vocabulary Terms Circular Motion. Radius - R The radius is defined as half the diameter of a circle or the distance from the edge of a circle to.

UNIFORM CIRCULAR MOTION Centripetal force. UNIFORM CIRCULAR MOTION  Motion at a constant speed around a circle with a constant radius. V Fc Ac.

Uniform circular motion Purpose: Determine how the linear speed of an object in uniform circular motion depends on the: 1) radius of path 2) centripetal.

Uniform Circular Motion. 4 dXxQ7o dXxQ7o.

PHY 151: Lecture 4B 4.4 Particle in Uniform Circular Motion 4.5 Relative Velocity.

Forces and Motion in Two Dimensions Circular Motion.

Figure shows a car moving in a circular path with constant linear speed v. Such motion is called uniform circular motion. Because the car’s.

Uniform Circular Motion

Position Displacmen. Position Displacmen Instantaneous velocity Average velocity Instantaneous velocity (Or velocity) but Example:

Aim: How do we solve problems involving circular motion?

Centripetal Acceleration and Force

Circular Motion.

Speed How fast does it go?.

Chapter 7 Objective Solve problems involving centripetal acceleration.

Uniform Circular Motion Equations

Circular Motion Chapter

Entrance and Exit Slip Questions

Presentation transcript:

Circular Motion Centripetal Acceleration

Revisiting Acceleration What is acceleration? Acceleration is how fast an object’s velocity changes. But what is velocity? It is the vector representing how fast an object is moving, AND the direction it is moving. So what is acceleration? Acceleration is how fast an object’s speed and/or direction of motion is changing.

A “new” kind of acceleration ViVi VfVf We have looked to see how to calculate the acceleration of an object when its speed changes. a ViVi VfVf a If an object travels in a circle there must be an acceleration because the direction of the object’s velocity is changing. Even if the speed is constant, there must be an acceleration. V V V V V V V V Since the velocity is tangential to the circular path of motion, the acceleration must be pointing to the center of the circular path at all times. We call this centripetal acceleration. (Centripetal means center-seeking) a a a a a a a a V V V V V V V V acac a = V f - V i t

Calculating a c Centripetal Acceleration is calculated using the equation a c = (Speed) 2 /radius a c = v 2 /r The speed of an object is found from its definition Speed = distance/time » The distance traveled is the circumference of a circle (2  r) multiplied by the number of revolutions. Speed = (#revolutions)(2  r)/time