Torque. Tough Nut  Which of the four arrangements is best for tightening a bolt? ABCD.

Slides:

Advertisements

Similar presentations

Angular Quantities Correspondence between linear and rotational quantities:

Advertisements

Torque Rotational Equilibrium Rotational Dynamics

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 Torque is defined as the tendency to produce a change in rotational motion.

Torque Chapter 8 Section 1.

1. A motorcycle plus rider has a mass of 1000 kg. They travel inside a loop with a radius of 6 m. At the lowest point, the speed is 20 m/s. What force.

It will accelerate in a spin!

Lecture 15 Rotational Dynamics.

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.

Dynamics of Rotational Motion

Torque. Angular Speed Angular speed is represented by ω which is the lower case Greek symbol called omega Angular speed is represented by ω which is the.

Lecture 15 Rotational Dynamics.

Torque, & Rotational Equilibrium

Torque. Torque Torque results when a force acts to rotate an object Torque results when a force acts to rotate an object A force applied to some point.

Chapter 9 Rotational Dynamics.

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.

Dynamics of Rotational Motion

Rotational Motion. Difference between torque and force If you want to make an object move, apply a force If you want to make an object rotate, apply a.

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.

Torque. Torque ≡ the action of a leveraged force Torque is the ability of a force to cause rotation or a turning motion. Unbalanced torque provides a.

 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.

Chapter 4 : statics 4-1 Torque Torque, , is the tendency of a force to rotate an object about some axis is an action that causes objects to rotate. Torque.

Torque. Tough Nut  Which of the four arrangements is best for tightening a bolt? ABCD.

Physics 1D03 - Lecture 101 Torque Text Sections : 10.6 Torque in 2 and 3 dimensions.

Objectives  Know the definition of torque  Know that torque is directly proportional to the magnitude of the force and the perpendicular distance.

Chapter 8 Rotational Motion.

Rotational Kinematics

Chapter 10: Rotation. Rotational Variables Radian Measure Angular Displacement Angular Velocity Angular Acceleration.

Physics 111: Elementary Mechanics – Lecture 10 Carsten Denker NJIT Physics Department Center for Solar–Terrestrial Research.

Chapter 11 Rotational Dynamics and Static Equilibrium

Dr. Jie Zou PHY 1151G Department of Physics1 Chapter 11 Rotational Dynamics and Static Equilibrium.

Rotational Motion. The Effect of Torque  A tangential force on a mass creates an acceleration. Tangential force: F t = m a tTangential force: F t = m.

Chapter 8 Rotational Equilibrium and Rotational Dynamics.

Chapter 9: Rotational Dynamics

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.

Chapter 8 Rotational Motion.

Objectives  Describe torque and the factors that determine it.  Calculate net torque.  Calculate the moment of inertia.

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.

CIRCULAR MOTION Mr. Theuerkauf.

Rotational Dynamics and Static Equilibrium

Chapter 8 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.

Chapter 9 Rotational Dynamics

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.

Physics Formulas. The Components of a Vector Can resolve vector into perpendicular components using a two-dimensional coordinate system:

Rotational Motion – Dynamics AP Physics. Rotational and Translational Equalities Rotational Objects roll Inertia TORQUE Angular Acceleration Rotational.

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.

PHYS 101, Chapter 8 Homework 1) If the torque required to loosen a nut that is holding a flat tire in place on a car has a magnitude of 40.0 Nm, what minimum.

Rotational Dynamics Rode, Kiana, Tiana, and Celina.

 orque  orque  orque  orque  orque  orque  orque  orque  orque Chapter 10 Rotational Motion 10-4 Torque 10-5 Rotational Dynamics; Torque and Rotational.

Chapter 8: Rotational Equilibrium and Dynamics

– Rotational displacement is how far the object rotates. Units: fractions of a complete revolution; degrees; radians 1 complete revolution = 360º = 2 

Torque Problems. In the following figure, a force whose magnitude is 55 N is applied to a door. However, the lever arms are different in the three parts.

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.

Goals for Chapter 10 To learn what is meant by torque

Rotational Motion.

PHY 131 Chapter 8-Part 1.

Rotational Motion.

Rotational Dynamics and Static Equilibrium

Ch. 8 Rotational Motion.

Physics 8.2A Sample problems

Dynamics of Rotational Motion

9.1 Torque Key Question: How does force create rotation?

Chapter 8 Rotational Equilibrium and Dynamics

Torque Rotational analogue of Force Must contain Use door example

Presentation transcript:

Torque

Tough Nut  Which of the four arrangements is best for tightening a bolt? ABCD

Pivot Point  Rotation of a wheel or wrench takes place with an axis of rotation.  The point where the axis intersects the object is the pivot point.  r  pivot point

Lever Arm  The tangential force acts at a distance away from the pivot point.  The distance from the pivot to the force is called the lever arm, or moment arm. r lever arm points out from the pivot

Perpendicular Component  Only the perpendicular component of the force can affect the tangential acceleration.  For an angle (  ) between the force (F) and lever arm (r), the perpendicular component is Fsin .  angle between lever arm and force

Moment of Force  The force exerted on the lever arm is the moment of force.  This is called torque (  ).

Changing a Tire  A wheel nut needs 95 N-m of torque.  A 45 cm wrench makes a 67° angle with the horizontal.  The horizontal force needed: r  °  °

Torque Wrench  Consider the product rFsin . rF(0.7)2rF = (1.4)rF (0.87)rF(3r/2)(F/2) = (3/4)rF

Torque and Work  A force does work on an object acting over a distance.  A torque does work on an object rotating through an angle. r 

Conservation of Energy  The net work done by forces on an object equals the change in kinetic energy.  The net work done by torques on an object equals the change in rotational kinetic energy.

Rotational Power  As with translational motion, power is the rate of work done.  The earth is slowing due to the tides. About 28 s / century 1 part in 10 8  The kinetic energy is changing.  The power dissipation is large: About 7 billion hp next