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

Slides:

Advertisements

Similar presentations

Uniform Circular Motion

Advertisements

Round and round… Circular Motion. Circular Speed & Velocity When objects move in a circular path, we will only consider those that have a constant speed.

Uniform Circular Motion

Uniform Circular Motion Basic Principles & Formulas.

UNIFORM CIRCULAR MOTION THE MOTION OF AN OBJECT moving IN A CIRCLE AT CONSTANT SPEED Average speed= distance/time=arc/time = =  *R/time=2  R/T(period)

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.

Week.  Student will: centripetal accelerationcentripetal force  Solve problems involving centripetal acceleration and centripetal force.

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

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.

Uniform Circular Motion

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.

Acceleration is equal to Δv/Δt. Velocity is a vector and there are two ways a vector can be changed: by changing magnitude or by changing direction.

Tangential and Centripetal Accelerations

Centripetal Acceleration/Force. Centripetal Force/Acceleration Definition Centripetal force: Centripetal force: Any force that causes curved path motion.

ROTATIONAL MOTION Uniform Circular Motion

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.

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

Objectives  Explain why an object moving in a circle at a constant speed is accelerated.  Describe how centripetal acceleration depends upon the object’s.

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

C HAPTER 7 Circular motion. C IRCULAR MOTION Uniform circular motion can be described as the motion of an object in a circle at a constant speed. As an.

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.

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.

Circular Motion Uniform circular motion: examples include Objects in orbit (earth around the sun Driving a car around a corner Rotating a ball around on.

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.

Chapter 5 Dynamics of Uniform Circular Motion. 5.1 Uniform Circular Motion DEFINITION OF UNIFORM CIRCULAR MOTION Uniform circular motion is the motion.

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.

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

Happy Thursday Grab your calculator Get ready to take notes Get ready for your warm up No quiz tomorrow Next test: after Thanksgiving break.

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.

Circular Motion Chapter 7.3. Motion & Forces What you already know: –Velocity – a measure of the change in over with. –Mass – A measure of the amount.

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

In this section you will:

Unit 6: Circular Motion Consider a Ferris wheel. ◦ The cars are in circular motion because they revolve about a single axis. ◦ The line about which the.

Circular Motion Motion that repeats itself is called periodic motion. Projectile motion–since it doesn’t repeat–is not periodic. The motion of a swinging.

Warm Up  1) Define Acceleration  2) If a bike goes in a circle traveling at 10 m/s is it accelerating?  3) What is Newton’s second Law?

C ENTRIPETAL A CCELERATION. This unit we will investigate the special case of kinematics and dynamics of objects in uniform circular motion – traveling.

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

Physics Section 7.1 Define and apply circular motion What is circular motion? Any object that revolves about.

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

Circular Motion Chapter 7.3. Motion & Forces What you already know: –Velocity – a measure of the change in displacement (distance with direction. –Mass.

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

Brain Teaser I wish tomorrow was yesterday so today would be Friday. What day is it?

Dynamics of Uniform Circular Motion  An object moving on a circular path of radius r at a constant speed, V  Motion is not on a straight line, the direction.

Uniform Circular Motion. 4 dXxQ7o dXxQ7o.

Uniform circular motion Uniform circular motion is motion along a circular path in which there is no change in speed, only a change in direction. v.

Acceleration is equal to Δv/Δt

Circular Motion 6.2 In this section you will:

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.

Circular Motion 6.2 In this section you will:

Circular Motion Motion of an object moving in a circular path.

Circular Motion.

Aim: How do we solve problems involving circular motion?

Circular Motion.

Circular Motion Uniform circular motion: examples include

**Uniform Circular Motion

Round and Round Circular Motion.

Uniform Circular Motion Review

Circular Motion An object that revolves about a single axis undergoes circular motion. The axis of rotation is the line about which the rotation occurs.

Uniform Circular Motion

Entrance and Exit Slip Questions

Chapter 2-3 Newton’s Second Law.

Presentation transcript:

Centripetal Acceleration is a vector quantity because it has both direction and magnitude. Centripetal Acceleration is defined as an acceleration experienced by an object in uniform circular motion. Centripetal acceleration is directed toward the center of the circle. The acceleration depends on the changes of the velocity and since velocity is a vector, it can be changed in both magnitude or direction. So if a car is traveling in a circular path with a constant speed, the acceleration is due to a change in direction. This is called a centripetal acceleration. (Center-seeking)

To calculate centripetal acceleration, you use the formula Ac =centripetal acceleration V=tangential speed/velocity R= Radius of a circle Ac is always perpendicular to the velocity

Ac = Centripetal Acceleration Ac = (v^2)/r v = 12 m/s r = 2 m 12^2 = /2 = 72 (D) 72 m/s^2

While the object is in its uniform circular motion, there is a net force acting on it. This force causes the centripetal acceleration. We call this force centripetal force. This force also goes toward the center of the circle. The centripetal force is the net force on the circling object that acts to change the object’s direction. (There is no change in speed because there are no tangential forces acting on the object)

The centripetal force formula is Fc: Centripetal Force M: mass Ac: Centripetal Acc. If the Centripetal force is removed, the object will move in a straight line (according to Newton’s first law) Fc is perpendicular to the velocity c Note: formula is obtained by newton’s second law. F=ma

Fc = Centripetal Force Fc = mAc Ac = (v^2)/r m = 2 kg v = 6 m/s r = 10 m 6^2 = 36 36/10 = 3.6 (2)(3.6) = 7.2 (A) 7.2 m/s^2

(D) D Centripetal force is always directed towards center.

DEMO

Homework: Amsco Pg 42; 192 Amsco Pg 43;203,205