Circular Motion. Introduction What is Newton’s First Law how does it relate to circular motion? How does Newton’s second law relate to circular motion?

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Presentation transcript:

Circular Motion

Introduction What is Newton’s First Law how does it relate to circular motion? How does Newton’s second law relate to circular motion?

Acceleration ViVi VfVf ViVi VfVf

ViVi VfVf VfVf

Acceleration

Exam Question (VCAA 2010) A racing car of mass 700 kg (including the driver) is travelling around a corner at a constant speed. The car’s path forms part of a circle of radius 50 m, and the track is horizontal. The magnitude of the central force provided by friction between the tyres and the ground is N. Question 1 What is the speed of the car? (2 marks) Question 2 What is the acceleration of the car as it goes around the corner? (2 marks)

Exam Question (VCAA, 2009) Question 3 Draw an arrow to show the direction of the net force on the motorcycle.

On the diagram, draw the forces acting on the car. Remember the car is travelling in a circular path. Centre of circular path

On the diagram, draw the forces acting on the car. Remember the car is travelling in a circular path. Centre of circular path FgFg FNFN FNFN FfFf FfFf

On the diagram, draw the forces acting on the car. Remember the car is travelling in a circular path. Centre of circular path FgFg FNFN FNFN FfFf FfFf Since the vertical forces are balanced, the net force (which we call centripetal force) is the sum of the sideways frictional forces.

Ball on a string

FgFg

FgFg FtFt

FgFg FtFt FgFg FtFt

FgFg FtFt FgFg FtFt

FgFg FtFt FgFg FtFt

Example: Ball on a string A ball of mass 250 g is attached to string in a game of totem tennis. The string makes an angle of 40 o to the vertical pole. Calculate: a. the net force on the ball b. the tension in the string c. the length of the string in terms of it’s speed, v?

Banked Corners

FgFg

FgFg FNFN

FgFg FNFN FNFN FgFg

FgFg FNFN FNFN FgFg

FgFg FNFN FNFN FgFg

FgFg FNFN FNFN FgFg

FgFg FNFN FNFN FgFg

Exam Question: VCAA 2010 Question 4 On the diagram, draw an arrow to indicate the direction of the acceleration of the rider (1mark)

Exam Question: VCAA 2010 Question 5 The circular path of the bicycle has a constant radius of 120 m, and the bicycle will be travelling at a constant 9 m s -1. What should be the value of the angle of the bank, θ, so that the bicycle travels around the corner with no sideways frictional force between the tyres and the track? (3 marks)

Banked Corners FgFg FNFN FNFN FgFg The force diagram doesn’t consider friction. Challenge: What would the force diagram look like if we considered friction? In which direction would the net force be?

Leaning into corners

FgFg FNFN FfFf