Find the average value of the function {image} on the interval [1, 4].

Slides:

Advertisements

Similar presentations

Alternating Current voltage time 0 maximum positive voltage (the peak voltage) maximum negative voltage (peak voltage) Direction of current and size constantly.

Advertisements

Direct voltage and current 1. Alternating voltage and current 1 The alternating voltage may make an alternating current flow.

AC CIRCUITS Every slide contains valuable and need-to-know information that has to be understood and retained before proceeding. Throughout this PowerPoint.

Current That Is Changing All the Time.  A direct current travels in one direction only.  In alternating currents the direction of charge flow is changing.

Sinusoidal Waves. Objective of Lecture Discuss the characteristics of a sinusoidal wave. Define the mathematical relationship between the period, frequency,

Lesson 17 Intro to AC & Sinusoidal Waveforms

1.3c Current Electricity Alternating Currents Breithaupt pages 74 to 79 November 14 th, 2010.

Principles of Technology Waxahachie High School Ratein Electrical Systems PIC Chapter 3.3 Ratein Electrical Systems PIC Chapter 3.3 PT TEKS.

Ch 181 Chapter 18 © 2006, B.J. Lieb Some figures electronically reproduced by permission of Pearson Education, Inc., Upper Saddle River, New Jersey Giancoli,

AC Circuits (Chapt 33) circuits in which the currents vary in time

The Cardiac Cycle, Pump Function & Blood Pressure.

2.2 Alternating Current and Voltage

NOCTI Review Lesson 2 Objectives: Compute values for voltage conversion (RMS, peak, ect). Calculate voltage and frequency on a oscilloscope.

Example A square coil of 100 loops is quickly pulled from the magnetic field as shown in 0.10 s. Calculate the change in flux. FBfinal =0 FBinitial =

Kashif Bashirwww.kashifpaf.greatnow.com1 Alternating Voltage and Current Alternating Current Applications: The Sine Wave Alternating Current Voltage and.

Ch 181 Chapter 18 Electric Currents © 2002, B.J. Lieb.

Average Values & Other Antiderivative Applications Lesson 7.1.

Generator and Transformer. Moving Conductor If a straight conductor is moved in a path perpendicular to a magnetic field, a current is induced in the.

Rate in the Electrical System. 1. What is the prime mover in the electric system? - voltage 2. What is electric rate? - amount of charge that flows through.

2.6 Instantaneous Rates of Change 1 We have established a graphical interpretation of the derivative as the slope of a tangent line. Now, we want to understand.

Chapter 21: Molecules in motion Diffusion: the migration of matter down a concentration gradient. Thermal conduction: the migration of energy down a temperature.

5.6 – Day 1 Modeling Harmonic Motion. 2 Objectives ► Simple Harmonic Motion ► Damped Harmonic Motion.

Chapter 27 Current and Resistance Scalar Sense determined by the movement of the positive charge carrier Average Electric Current Instantaneous Electric.

5.5 The Trapezoidal Rule. I. Trapezoidal Rule A.) Area of a Trapezoid -

Chapter 21: Molecules in motion Diffusion: the migration of matter down a concentration gradient. Thermal conduction: the migration of energy down a temperature.

Copyright © Cengage Learning. All rights reserved.

Alternating Current and Voltage

Section 5.3 The Fundamental Theorem and Interpretations.

Chapter 3.3 Notes Rate in Electrical Systems. Speed is the rate of change of position. Acceleration is the rate of change of velocity. Volume Flow Rate.

Announcements Midterm Exam next Wednesday Exam starts at 6 PM, ~1 hr. Closed book, one page of notes Bring a calculator (not phone, computer, iPad, etc.)

Chapter 8 © Copyright 2007 Prentice-HallElectric Circuits Fundamentals - Floyd Chapter 8.

PV System Design and Installation LO3 Electricity Basics.

Chapter 22: Alternating Current

Lesson 14: Introduction to AC and Sinusoids

Alternating voltages and currents

7. Power in electric circuits

Alternating Current – Learning Outcomes

6.1 Alternating current and power

Building Energy Analysis

ALTERNATING CURRENT AND VOLTAGE

Chapter 22: AC Circuits Figure (a) Direct current. (b) Alternating current.

Physics 1202: Lecture 11 Today’s Agenda

Starter Questions 08/02/11 Draw a distance and time graph to show the following journey. Calculate the speed at each point. I leave my house at 9am and.

Sinusoidal Waveform Phasor Method.

April 24th, 2006 AC Circuits PHYS 102

If a ball is thrown vertically upward with a velocity of 60 ft/s, then its height after t seconds is {image} . What is the maximum height reached by the.

Use a graphing calculator to determine the graph of the equation {image} {applet}

Electric Circuits Fundamentals

Rates of Change in the Natural and Social Sciences

Electrical Energy Sources

Magnets and the Magnetic Force

Evaluate the integral. {image}

Copyright © Cengage Learning. All rights reserved.

Average Values & Other Antiderivative Applications

A ring with radius R has a uniform charge density 

Solving Radical Equations

Evaluate the integral. {image}

Cfe Higher Physics Unit 3.1 Alternating Current and Voltage.

Solving Square Root Equations

Calculate work done by expanding gas of 1 mole if initial pressure is 4000 Pa, initial volume is 0.2 m3. Assume a two processes: (1) isobaric expansion.

Speed and Velocity Average speed Velocity Predicting the future 1524

Blood Flow Blood flow = Cardiac output (CO)= HR x SV

F  eE F  ma ma  eE Electron Ballistics

Electrical Energy Sources

Chapter 1 Test Review.

C H A P T E R 11 A.C. Fundamentals.

Magnets and the Magnetic Force

Household Electricity

Presentation transcript:

Find the average value of the function {image} on the interval [1, 4]. 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find the average value of the function {image} on the interval {image} . 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

In a certain city the temperature x hours after 2 A. M In a certain city the temperature x hours after 2 A.M. was modeled by the function {image} Find the average temperature during the period from 2 A.M. to 2 P.M. 14.201 38.274 39.437 41.934 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

The velocity v of blood that flows in a blood vessel with radius R and length l at a distance r from the central axis is {image} where P is the pressure difference between the ends of the vessel and q is the viscosity of the blood. Suppose that Vessel 1 has length 1.6 cm and outer radius 0.5 mm, and Vessel 2 has length 4.1 cm and outer radius 0.8 mm. Find the average velocities (with respect to r) over the interval {image} for each vessel. Which vessel has the higher average velocity? Vessel 2 Vessel 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Household electricity in a certain former Soviet republic is supplied in the form of alternating current that varies from 104 V to -104 V with a frequency of 60 cycles per second (Hz). The voltage is thus given by the equation {image} where t is the time in seconds. Voltmeters read the RMS (root-mean-square) voltage, which is the square root of the average value of {image} over one cycle. Calculate the RMS voltage of household current. 5,408 104 52 73.54 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50