Rotational Motion and Torque Chapter 7 and 8 Physics.

Slides:



Advertisements
Similar presentations
Angular Quantities Correspondence between linear and rotational quantities:
Advertisements

Monday October 20. Motion of a rigid body Body can translate only. In this case we can replace the body by a point located at the center of mass. Body.
Torque Chapter 8 Section 1.
Torque We know that Newton’s second law ( ) explains that the net force is the source of an object’s acceleration. What is the source of.
Rotational Equilibrium and Dynamics
AP Physics. The angle “ θ ” used to represent rotational position  Units: radians or degrees (remember 2 π rad = 360 o ) Change in rotational position.
Rotational Motion.
Rotational dynamics Chapter 8. Masses Up ‘til now, we have assumed that all masses are essentially points in space. From this point onwards, we will treat.
Torque & Levers Relationship between torque, force, and distance.
Torque, & Rotational Equilibrium
Translational vs. rotational motion  Translational Motion  What we talked about in earlier units  Motion of the center of mass  Rotational Motion 
Torque Rotational Motion. Torque  Forces that cause objects to rotate  Two Characteristics that contribute to the effectiveness of torque: Magnitude.
 orque  orque  orque  orque  orque  orque  orque  orque  orque Chapter 10 Rotational Motion 10-4 Torque 10-5 Rotational Dynamics; Torque and Rotational.
DETERMINATION OF TORQUE
Causing Rotational Motion In order to make an object start rotating about an axis, a force is required However, not only the amount of force applied but.
Chapter 8.1 and 8.2 Torque and Angular Rotation. Definition of Torque Torque is the quantity that measures the ability of a force to rotate an object.
 Point at which all other points on the object rotate around  During motion the CM will move in the same path that a simple particle would move if subjected.
Torque & Simple Machines
Torque Torque applies to a rotating rigid object (like a football) with an internal axis of rotation. A rigid object will rotate around its center of mass.
Chapter 10: Rotation. Rotational Variables Radian Measure Angular Displacement Angular Velocity Angular Acceleration.
Phy 211: General Physics I Chapter 10: Rotation Lecture Notes.
Chapter 8: Rotational Kinematics Lecture Notes
Physics 1901 (Advanced) A/Prof Geraint F. Lewis Rm 557, A29
Chapter 10 - Rotation In this chapter we will study the rotational motion of rigid bodies about a fixed axis. To describe this type of motion we will introduce.
 Torque: the ability of a force to cause a body to rotate about a particular axis.  Torque is also written as: Fl = Flsin = F l  Torque= force x.
Torque ► Consider force required to open door. Is it easier to open the door by pushing/pulling away from hinge or close to hinge? close to hinge away.
Rotation Rotational Variables Angular Vectors Linear and Angular Variables Rotational Kinetic Energy Rotational Inertia Parallel Axis Theorem Newton’s.
Chapter 8 Torque and Rotation  8.2 Torque and Stability  6.5 Center of Mass  8.3 Rotational Inertia Dorsey, Adapted from CPO Science DE Physics.
Torque and Rotation Physics. Torque Force is the action that creates changes in linear motion. For rotational motion, the same force can cause very different.
Torque Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. -Archimedes.
Chapter 8 Rotational Motion.
Concept Summary Belton High School Physics. Circular Motion Terms The point or line that is the center of the circle is the axis of rotation.The point.
Rotational Motion. Deg, Rad, Grad There are 360 degrees in one rotation of a circe. There are 2π radians in one rotation of a circle. There are 400 gradians.
Rotational Motion Chapter 6, 8 and 9. Acceleration in a Circle  Acceleration occurs when velocity changes  This means either speed OR direction changes.
CIRCULAR MOTION Mr. Theuerkauf.
Chapter 8 Rotational Motion.
Rotational Motion & Torque. Angular Displacement Angular displacement is a measure of the angle a line from the center to a point on the outside edge.
8.2 Rotational Dynamics How do you get a ruler to spin on the end of a pencil? Apply a force perpendicular to the ruler. The ruler is the lever arm How.
Chapter 8 Rotational Motion.
© 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their.
Edexcel A2 Physics Unit 4 : Chapter 1.2 : Motion In a Circle Prepared By: Shakil Raiman.
Chapter 8: Rotational Motion Pure rotational motion means the circular movement of a ‘rigid body’ where all points have the same angular motion…this motion.
Rotational Motion of an Object Physics Matters: Chapter 7.
D. Roberts PHYS 121 University of Maryland Physic² 121: Phundament°ls of Phy²ics I November 1, 2006.
Chapters 7 & 8 The Law of Gravity and Rotational Motion.
Bellringer: What would be the net acceleration of a 15 g toy car down a 30 degree incline if the acceleration due to friction is 1.8 m/s 2 ? Include a.
So far we have analyzed translational motion in terms of its angular quantities. But we have really only focused on the kinematics and energy. We have.
Torque  If an unbalanced force acts on an object at rest, and: 1)the force does not act along the center of mass of the object, 2)the object is fixed.
Rotational Motion AP Physics C. Definitions and Formulas.
Mechanical Work. Work Force or force-like quantity enabling something to move (change speed, direction or both) – Mechanical – force or torque makes objects.
Biomechanical Principles of Motion Chapters 4 & 5.
Rotational Motion & Torque. Angular Displacement Angular displacement is a measure of the angle a line from the center to a point on the outside edge.
How do you start the rotation of an object? How do you open an door? What did we learn about the best way to open a door? The most efficient way to open.
Forces and Motion in Two Dimensions Circular Motion.
Rotation Objectives: Circular Motion: Angle and Speed
Chapter 8 Rotational Motion
Torque.
Tangential & Centripetal Acceleration
TORQUE – Rotational Force
Rotational Inertia and Torque
Chapter 8 Rotational Motion
Unit 5: Conservation of Angular Momentum
8-1 Angular Quantities In purely rotational motion, all points on the object move in circles around the axis of rotation (“O”). The radius of the circle.
Chapter 8 Rotational Motion.
Chapter 9: Rotation Angular Displacement
Section 2 –Linear and Angular Velocity
Chapter 8 Rotational Motion
Rigid body rotating around a point A
The Law of Gravity and Rotational Motion
Chapter 8 Rotational Equilibrium and Dynamics
Presentation transcript:

Rotational Motion and Torque Chapter 7 and 8 Physics

-When an object spins it is said to undergo rotational motion. (motion of a body as it spins around an axis of rotation) -Rotational motion is described in terms of the angle through which a point moves around the circle.

-Angles measured in radians  360 o = 2 radians radian is approximately 57 o 1 radian = degrees 1 degree = radians

-Angular displacement - the angle through which a point, line, or body is rotated in a specific direction and around a specific axisAngular displacement

-Angular speed (ω)– the rate at which a body rotates about an axis (radians per second)

Torque – a quantity that measures the ability of a force to rotate an object around some axisTorque Lever arm – perpendicular distance from the axis of rotation to a line drawn along the direction of force

Torque = force x lever arm x angle of rotation = Fd(sinθ) = torque F = force d = distance from applied force to axis of rotation θ = angle of rotation

Example – Trying to open a door by pushing or pulling at the handle vs. trying to open the door by pushing or pulling beside the hinge. Which is harder? ** More torque is produced with a longer lever arm. ** When doing work, you want to maximize torque by making the lever arm as long as possible, thus making the rotation easier. Long wrench vs. short wrench. - Torque will be positive or negative based on the direction of rotation

Yea, Homework! Chapter 7 - Review problems Pages #1, 2, 3, 4, 26, 27, 29, 30, 31, 32, 33 Chapter 8 – Review problems Pages #1, 2, 3, 7, 8, 12