Making Competition Work in Electricity
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Work and Energy Summary Sheet Chapter 6
Work and Energy Summary Sheet Chapter 6 Work: work is done when a force is applied to a mass through a displacement or W=Fd. The force and the displacement must be parallel to one another in order for work to be done. F (N) W =(Fcosθ)d F If the force is not parallel to The area of a force vs. the displacement, then the displacement graph + W component of the force that represents the work θ d (m) is parallel must be found. done by the varying - W d force. Signs and Units for Work Work is a scalar but it can be positive or negative. Units of Work F d W = + (Ex: pitcher throwing ball) 1 N•m = 1 J (Joule) F d W = - (Ex. catcher catching ball) Note: N = kg m/s2 • Work – Energy Principle Hooke’s Law x The work done on an object is equal to its change F = kx in kinetic energy. F F is the applied force. 2 2 x W = ΔEk = ½ mvf – ½ mvi x is the change in length. k is the spring constant. F Energy Defined Units Energy is the ability to do work. Same as work: 1 N•m = 1 J (Joule) Kinetic Energy Potential Energy Potential energy is stored energy due to a system’s shape, position, or Kinetic energy is the energy of state. motion. If a mass has velocity, Gravitational PE Elastic (Spring) PE then it has KE 2 Mass with height Stretch/compress elastic material Ek = ½ mv 2 EG = mgh EE = ½ kx To measure the change in KE Change in E use: G Change in ES 2 2 2 2 ΔEk = ½ mvf – ½ mvi ΔEG = mghf – mghi ΔEE = ½ kxf – ½ kxi Conservation of Energy “The total energy is neither increased nor decreased in any process. -
Multidisciplinary Design Project Engineering Dictionary Version 0.0.2
Multidisciplinary Design Project Engineering Dictionary Version 0.0.2 February 15, 2006 . DRAFT Cambridge-MIT Institute Multidisciplinary Design Project This Dictionary/Glossary of Engineering terms has been compiled to compliment the work developed as part of the Multi-disciplinary Design Project (MDP), which is a programme to develop teaching material and kits to aid the running of mechtronics projects in Universities and Schools. The project is being carried out with support from the Cambridge-MIT Institute undergraduate teaching programe. For more information about the project please visit the MDP website at http://www-mdp.eng.cam.ac.uk or contact Dr. Peter Long Prof. Alex Slocum Cambridge University Engineering Department Massachusetts Institute of Technology Trumpington Street, 77 Massachusetts Ave. Cambridge. Cambridge MA 02139-4307 CB2 1PZ. USA e-mail: [email protected] e-mail: [email protected] tel: +44 (0) 1223 332779 tel: +1 617 253 0012 For information about the CMI initiative please see Cambridge-MIT Institute website :- http://www.cambridge-mit.org CMI CMI, University of Cambridge Massachusetts Institute of Technology 10 Miller’s Yard, 77 Massachusetts Ave. Mill Lane, Cambridge MA 02139-4307 Cambridge. CB2 1RQ. USA tel: +44 (0) 1223 327207 tel. +1 617 253 7732 fax: +44 (0) 1223 765891 fax. +1 617 258 8539 . DRAFT 2 CMI-MDP Programme 1 Introduction This dictionary/glossary has not been developed as a definative work but as a useful reference book for engi- neering students to search when looking for the meaning of a word/phrase. It has been compiled from a number of existing glossaries together with a number of local additions. -
Introduction to Electrical and Computer Engineering International
Introduction to Electrical and Computer Engineering Basic Circuits and Simulation Electrical & Computer Engineering Basic Circuits and Simulation (1 of 22) International System of Units (SI) • Length: meter (m) • SI Prefixes (power of 10) • Mass: kilogram (kg) – 1012 Tera (T) • Time: second (s) – 109 Giga (G) – 106 Mega (M) • Current: Ampere (A) – 103 kilo (k) • Voltage: Volt (V) – 10-3 milli (m) • Temperature: Degrees – 10-6 micro (µ) Kelvin (ºK) – 10-9 nano (n) – 10-12 pico (p) Electrical & Computer Engineering Basic Circuits and Simulation (2 of 22) 1 SI Examples • A few examples: • 1 Gbit = 109 bits, or 103106 bits, or one thousand million bits – 10-5 s = 0.00001 s; use closest SI prefix • 1×10-5 s = 10 × 10-6 s or 10 μs or • 1×10-5 s = 0.01 × 10-3 s or 0.01 ms Electrical & Computer Engineering Basic Circuits and Simulation (3 of 22) Typical Ranges Voltage (V) Current (A) • 10-8 Antenna of radio • 10-12 Nerve cell in brain receiver (10 nV) • 10-7 Integrated circuit • 10-3 EKG – voltage memory cell (0.1 µA) produced by heart • 10×10-3 Threshold of • 1.5 Flashlight battery sensation in humans • 12 Car battery • 100×10-3 Fatal to humans • 110 House wiring (US) • 1-2 Typical Household • 220 House wiring (Europe) appliance • 107 Lightning bolt (10 MV) • 103 Large industrial appliance • 104 Lightning bolt Electrical & Computer Engineering Basic Circuits and Simulation (4 of 22) 2 Electrical Quantities • Electric Charge (positive or negative) – (Coulombs, C) - q – Electron: 1.602 x 10 • Current (Ampere or Amp, A) – i or I – Rate of charge flow, – 1 1 Electrical & Computer Engineering Basic Circuits and Simulation (5 of 22) Electrical Quantities (continued) • Voltage (Volts, V) – w=energy required to move a given charge between two points (Joule, J) – – 1 1 1 Joule is the work done by a constant 1 N force applied through a 1 m distance. -
Kinetic Energy and Work
Kinetic Energy and Work 8.01 W06D1 Today’s Readings: Chapter 13 The Concept of Energy and Conservation of Energy, Sections 13.1-13.8 Announcements Problem Set 4 due Week 6 Tuesday at 9 pm in box outside 26-152 Math Review Week 6 Tuesday at 9 pm in 26-152 Kinetic Energy • Scalar quantity (reference frame dependent) 1 K = mv2 ≥ 0 2 • SI unit is joule: 1J ≡1kg ⋅m2/s2 • Change in kinetic energy: 1 2 1 2 1 2 2 2 1 2 2 2 ΔK = mv f − mv0 = m(vx, f + vy, f + vz, f ) − m(vx,0 + vy,0 + vz,0 ) 2 2 2 2 Momentum and Kinetic Energy: Single Particle Kinetic energy and momentum for a single particle are related by 2 1 2 p K = mv = 2 2m Concept Question: Pushing Carts Consider two carts, of masses m and 2m, at rest on an air track. If you push one cart for 3 seconds and then the other for the same length of time, exerting equal force on each, the kinetic energy of the light cart is 1) larger than 2) equal to 3) smaller than the kinetic energy of the heavy car. Work Done by a Constant Force for One Dimensional Motion Definition: The work W done by a constant force with an x-component, Fx, in displacing an object by Δx is equal to the x- component of the force times the displacement: W = F Δx x Concept Q.: Pushing Against a Wall The work done by the contact force of the wall on the person as the person moves away from the wall is 1. -
Feeling Joules and Watts
FEELING JOULES AND WATTS OVERVIEW & PURPOSE Power was originally measured in horsepower – literally the number of horses it took to do a particular amount of work. James Watt developed this term in the 18th century to compare the output of steam engines to the power of draft horses. This allowed people who used horses for work on a regular basis to have an intuitive understanding of power. 1 horsepower is about 746 watts. In this lab, you’ll learn about energy, work and power – including your own capacity to do work. Energy is the ability to do work. Without energy, nothing would grow, move, or change. Work is using a force to move something over some distance. work = force x distance Energy and work are measured in joules. One joule equals the work done (or energy used) when a force of one newton moves an object one meter. One newton equals the force required to accelerate one kilogram one meter per second squared. How much energy would it take to lift a can of soda (weighing 4 newtons) up two meters? work = force x distance = 4N x 2m = 8 joules Whether you lift the can of soda quickly or slowly, you are doing 8 joules of work (using 8 joules of energy). It’s often helpful, though, to measure how quickly we are doing work (or using energy). Power is the amount of work (or energy used) in a given amount of time. http://www.rdcep.org/demo-collection page 1 work power = time Power is measured in watts. One watt equals one joule per second. -
Electric Potential
Electric Potential • Electric Potential energy: b U F dl elec elec a • Electric Potential: b V E dl a Field is the (negative of) the Gradient of Potential dU dV F E x dx x dx dU dV F UF E VE y dy y dy dU dV F E z dz z dz In what direction can you move relative to an electric field so that the electric potential does not change? 1)parallel to the electric field 2)perpendicular to the electric field 3)Some other direction. 4)The answer depends on the symmetry of the situation. Electric field of single point charge kq E = rˆ r2 Electric potential of single point charge b V E dl a kq Er ˆ r 2 b kq V rˆ dl 2 a r Electric potential of single point charge b V E dl a kq Er ˆ r 2 b kq V rˆ dl 2 a r kq kq VVV ba rrba kq V const. r 0 by convention Potential for Multiple Charges EEEE1 2 3 b V E dl a b b b E dl E dl E dl 1 2 3 a a a VVVV 1 2 3 Charges Q and q (Q ≠ q), separated by a distance d, produce a potential VP = 0 at point P. This means that 1) no force is acting on a test charge placed at point P. 2) Q and q must have the same sign. 3) the electric field must be zero at point P. 4) the net work in bringing Q to distance d from q is zero. -
Maximum Frictional Dissipation and the Information Entropy of Windspeeds
J. Non-Equilib. Thermodyn. 2002 Vol. 27 pp. 229±238 Á Á Maximum Frictional Dissipation and the Information Entropy of Windspeeds Ralph D. Lorenz Lunar and Planetary Lab, University of Arizona, Tucson, AZ, USA Communicated by A. Bejan, Durham, NC, USA Registration Number 926 Abstract A link is developed between the work that thermally-driven winds are capable of performing and the entropy of the windspeed history: this information entropy is minimized when the minimum work required to transport the heat by wind is dissipated. When the system is less constrained, the information entropy of the windspeed record increases as the windspeed ¯uctuates to dissipate its available work. Fluctuating windspeeds are a means for the system to adjust to a peak in entropy production. 1. Introduction It has been long-known that solar heating is the driver of winds [1]. Winds represent the thermodynamic conversion of heat into work: this work is expended in accelerat- ing airmasses, with that kinetic energy ultimately dissipated by turbulent drag. Part of the challenge of the weather forecaster is to predict the speed and direction of wind. In this paper, I explore how the complexity of wind records (and more generally, of velocity descriptions of thermally-driven ¯ow) relates to the available work and the frictional or viscous dissipation. 2. Zonal Energy Balance Two linked heat ¯uxes drive the Earth's weather ± the vertical transport of heat upwards, and the transport of heat from low to high latitudes. In the present paper only horizontal transport is considered, although the concepts may be extended by analogy into the vertical dimension. -
Work-Energy for a System of Particles and Its Relation to Conservation Of
Conservation of Energy, the Work-Energy Principle, and the Mechanical Energy Balance In your study of engineering and physics, you will run across a number of engineering concepts related to energy. Three of the most common are Conservation of Energy, the Work-Energy Principle, and the Mechanical Engineering Balance. The Conservation of Energy is treated in this course as one of the overarching and fundamental physical laws. The other two concepts are special cases and only apply under limited conditions. The purpose of this note is to review the pedigree of the Work-Energy Principle, to show how the more general Mechanical Energy Bal- ance is developed from Conservation of Energy, and finally to describe the conditions under which the Mechanical Energy Balance is preferred over the Work-Energy Principle. Work-Energy Principle for a Particle Consider a particle of mass m and velocity V moving in a gravitational field of strength g sub- G ject to a surface force Rsurface . Under these conditions, writing Conservation of Linear Momen- tum for the particle gives the following: d mV= R+ mg (1.1) dt ()Gsurface Forming the dot product of Eq. (1.1) with the velocity of the particle and rearranging terms gives the rate form of the Work-Energy Principle for a particle: 2 dV⎛⎞ d d ⎜⎟mmgzRV+=() surfacei G ⇒ () EEWK += GP mech, in (1.2) dt⎝⎠2 dt dt Gravitational mechanical Kinetic potential power into energy energy the system Recall that mechanical power is defined as WRmech, in= surfaceiV G , the dot product of the surface force with the velocity of its point of application. -
Work-Force Ageing in OECD Countries
CHAPTER 4 Work-force ageing in OECD countries A. INTRODUCTION AND MAIN FINDINGS force ageing, but offset part of the projected fall in labour force growth. 1. Introduction OECD labour markets have adapted to signi®- cant shifts in the age structure of the labour force in Expanding the range and quality of employ- the past. However, the ageing projected over the ment opportunities available to older workers will next several decades is outside the range of recent become increasingly important as populations age historical experience. Hence, it is uncertain how eas- in OECD countries. Accordingly, there is a need to ily such a large increase in the supply of older work- understand better the capacity of labour markets to ers can be accommodated, including the implica- adapt to ageing work forces, including how it can be tions for the earnings and employment of older enhanced. workers. Both the supply and demand sides of the There is only weak evidence that the earnings labour market will be important. It is likely that pen- of older workers are lower relative to younger work- sion programmes and social security systems in ers in countries where older workers represent a many OECD countries will be reformed so that larger share of total employment. This may indicate existing incentives for early retirement will be that workers of different ages are close substitutes reduced or eliminated. Strengthening ®nancial in production, so that an increased supply of older incentives to extend working life, together with a workers can be employed without a signi®cant fall in large increase in the older population and improve- their relative wages. -
3. Energy, Heat, and Work
3. Energy, Heat, and Work 3.1. Energy 3.2. Potential and Kinetic Energy 3.3. Internal Energy 3.4. Relatively Effects 3.5. Heat 3.6. Work 3.7. Notation and Sign Convention In these Lecture Notes we examine the basis of thermodynamics – fundamental definitions and equations for energy, heat, and work. 3-1. Energy. Two of man's earliest observations was that: 1)useful work could be accomplished by exerting a force through a distance and that the product of force and distance was proportional to the expended effort, and 2)heat could be ‘felt’ in when close or in contact with a warm body. There were many explanations for this second observation including that of invisible particles traveling through space1. It was not until the early beginnings of modern science and molecular theory that scientists discovered a true physical understanding of ‘heat flow’. It was later that a few notable individuals, including James Prescott Joule, discovered through experiment that work and heat were the same phenomenon and that this phenomenon was energy: Energy is the capacity, either latent or apparent, to exert a force through a distance. The presence of energy is indicated by the macroscopic characteristics of the physical or chemical structure of matter such as its pressure, density, or temperature - properties of matter. The concept of hot versus cold arose in the distant past as a consequence of man's sense of touch or feel. Observations show that, when a hot and a cold substance are placed together, the hot substance gets colder as the cold substance gets hotter. -
Work, Power, & Energy
WORK, POWER, & ENERGY In physics, work is done when a force acting on an object causes it to move a distance. There are several good examples of work which can be observed everyday - a person pushing a grocery cart down the aisle of a grocery store, a student lifting a backpack full of books, a baseball player throwing a ball. In each case a force is exerted on an object that caused it to move a distance. Work (Joules) = force (N) x distance (m) or W = f d The metric unit of work is one Newton-meter ( 1 N-m ). This combination of units is given the name JOULE in honor of James Prescott Joule (1818-1889), who performed the first direct measurement of the mechanical equivalent of heat energy. The unit of heat energy, CALORIE, is equivalent to 4.18 joules, or 1 calorie = 4.18 joules Work has nothing to do with the amount of time that this force acts to cause movement. Sometimes, the work is done very quickly and other times the work is done rather slowly. The quantity which has to do with the rate at which a certain amount of work is done is known as the power. The metric unit of power is the WATT. As is implied by the equation for power, a unit of power is equivalent to a unit of work divided by a unit of time. Thus, a watt is equivalent to a joule/second. For historical reasons, the horsepower is occasionally used to describe the power delivered by a machine. -
A) B) C) D) 1. Which Is an SI Unit for Work Done on an Object? A) Kg•M/S
1. Which is an SI unit for work done on an object? 10. Which is an acceptable unit for impulse? A) B) A) N•m B) J/s C) J•s D) kg•m/s C) D) 11. Using dimensional analysis, show that the expression has the same units as acceleration. [Show all the 2. Which combination of fundamental units can be used to express energy? steps used to arrive at your answer.] A) kg•m/s B) kg•m2/s 12. Which quantity and unit are correctly paired? 2 2 2 C) kg•m/s D) kg•m /s A) 3. A joule is equivalent to a B) A) N•m B) N•s C) N/m D) N/s C) 4. A force of 1 newton is equivalent to 1 A) B) D) C) D) 13. Which two quantities are measured in the same units? 5. Which two quantities can be expressed using the same A) mechanical energy and heat units? B) energy and power A) energy and force C) momentum and work B) impulse and force D) work and power C) momentum and energy 14. Which is a derived unit? D) impulse and momentum A) meter B) second 6. Which pair of quantities can be expressed using the same C) kilogram D) Newton units? 15. Which combination of fundamental unit can be used to A) work and kinetic energy express the weight of an object? B) power and momentum A) kilogram/second C) impulse and potential energy B) kilogram•meter D) acceleration and weight C) kilogram•meter/second 7.