Circular Motion PPP

Characteristics of Circular Motion ,[object Object],[object Object]

Acceleration Characteristics for Circular Motion ,[object Object]

Explain why there is acceleration in circular motion if the SPEED is Constant. ,[object Object],[object Object],[object Object],[object Object]

In which direction does the velocity change (Acceleration) vector point? ,[object Object],[object Object],[object Object]

Briefly explain why, using geometric proof. ,[object Object],[object Object],[object Object],[object Object]

Give two real world demonstrations of this inward acceleration. ,[object Object],[object Object],[object Object],[object Object]

Give two real world demonstrations of this inward acceleration. ,[object Object],[object Object],[object Object]

Do the “C heck Your Understanding ” #1-8 on the site. ,[object Object]

An object moving in a circle is experiencing acceleration. Even if moving around the perimeter of the circle with a constant speed, there is still a change in velocity and subsequently an acceleration. This acceleration is directed TOWARDS THE CENTER of the circle.

Newton's second law of motion says that … ,[object Object],[object Object]

So for an object moving in a circle, there must be an inward force acting upon it in order to cause its inward acceleration.

This is sometimes referred to as the CENTRIPETAL FORCE REQUIREMENT.

The word "centripetal" means CENTER-SEEKING. For objects moving in circular motion, there is a net force acting towards the center which causes the object to seek the center.

Newton's first law of motion - the law of inertia states that…. ,[object Object]

Objects will tend to naturally travel in straight lines; an unbalanced force is required to cause it to turn. The presence of THE UNBALANCED FORCE is required for objects to move in circles.

There is an outward force and an outward acceleration acting on your body when you sit in the passenger seat of a car making a left hand turn. ,[object Object]

Explain your answer. ,[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object]

What is a centripetal force ? ,[object Object],[object Object]

Is centripetal force a new type of force? ,[object Object],[object Object],[object Object],[object Object]

Give three examples of centripetal force. ,[object Object]

The centripetal force for uniform circular motion alters the direction of the object without altering its speed. ,[object Object]

Here’s the situation: ,[object Object],[object Object],[object Object]

Here’s the question: ,[object Object],[object Object],[object Object]

The answer: ,[object Object],[object Object]

An altered situation: ,[object Object],[object Object],[object Object]

The Answer: ,[object Object],[object Object]

Circular Motion ,[object Object],[object Object],[object Object]

Circular Motion vs. Linear Motion ,[object Object],[object Object]

AXES Circular Motion vs. Linear Motion ,[object Object],[object Object],[object Object],[object Object],[object Object]

ACCELERATION Circular Motion vs. Linear Motion ,[object Object],[object Object],[object Object],[object Object],[object Object]

FORCES Circular Motion vs. Linear Motion ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

IMPORTANT NOTE ,[object Object]

In which direction will the object move without the centripetal force? ,[object Object],[object Object],[object Object]

MOTION DIAGRAMS Circular Motion vs. Linear Motion ,[object Object],[object Object],[object Object]

FREE BODY DIAGRAMS Circular Motion vs. Linear Motion ,[object Object],[object Object],[object Object],[object Object],[object Object]

Equations Circular Motion vs. Linear Motion ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

WHAT IS A CENTRIFUGAL FORCE? ,[object Object],[object Object]

What are three mathematical quantities which will be of primary interest to us? ,[object Object]

Velocity is determined using the equation

The acceleration of an object moving in a circle can be determined by the equations

The net force is related to the acceleration of the object (as is always the case) and is given by the equations

This set of circular motion equations can be used in two ways: ,[object Object],[object Object],[object Object]

How can the equations for circular motion be used as a guide to thinking? ,[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

A 900-kg car moving at 10 m/s takes a turn around a circle with a radius of 25.0 m. Determine the acceleration and the net force acting upon the car. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

A 95-kg halfback makes a turn on the football field. The halfback sweeps out a path which is a portion of a circle with a radius of 12-meters. The halfback makes a quarter of a turn around the circle in 2.1 seconds. Determine the speed of the halfback. ,[object Object],[object Object],[object Object],[object Object]

A 95-kg halfback makes a turn on the football field. The halfback sweeps out a path which is a portion of a circle with a radius of 12-meters. The halfback makes a quarter of a turn around the circle in 2.1 seconds. Determine the acceleration of and net force acting upon the halfback. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Anna fills a bucket with water, ties it to a strong rope, and spins it in a circle. Anna spins the bucket when it is half-full of water and when it is quarter-full of water. In which case is more force required to spin the bucket in a circle? ,[object Object]

A Lincoln Continental and a Yugo are making a turn. The Lincoln is four times more massive than the Yugo. If they make the turn at the same speed, then how do the centripetal forces acting upon the two cars compare. Explain. ,[object Object]

The Gravitron at Six Flags is a ride in which occupants line the perimeter of a cylinder and spin in a circle at a high rate of turning. When the cylinder begins spinning very rapidly, the floor is removed from under the riders' feet. What effect does a doubling in speed have upon the centripetal force? Explain. ,[object Object]

Determine the centripetal force acting upon a 40-kg child who makes 10 revolutions around the Cliffhanger in 29.3 seconds. The radius of the barrel is 2.90 meters. ,[object Object]

Circular Motion PPP

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Circular Motion PPP