# Creating Models Chapter 10. Lesson Objectives Know what a capacitor is and how it works Know what a capacitor is and how it works Introduce the idea of.

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Creating Models Chapter 10

Lesson Objectives Know what a capacitor is and how it works Know what a capacitor is and how it works Introduce the idea of capacitance Introduce the idea of capacitance Know that the unit of capacitance is the Farad (F) = C V -1 Know that the unit of capacitance is the Farad (F) = C V -1

Equations

What if… Chapter 10.1

Stocks and Flows Chapter 10.2

Charge, current and time Q = Charge transferred in Coulombs (C) Q = Charge transferred in Coulombs (C) I = Current in Amps (A) I = Current in Amps (A) t= Time in seconds (s) t= Time in seconds (s)

Leonhard Euler 1707-1783

Clockwork Models Chapter 10.3

Phasors and Waves http://www.surendranath.org/Applets/Waves/ Twave01A/Twave01AApplet.html http://www.surendranath.org/Applets/Waves/ Twave01A/Twave01AApplet.html http://www.surendranath.org/Applets/Waves/ Twave01A/Twave01AApplet.html http://www.surendranath.org/Applets/Waves/ Twave01A/Twave01AApplet.html

Galileo Galilei 1564-1642

Spring Pendulum Angular Frequency Acceleration

John Harrison 1683-1766

Applet Oscillations/Spring Mass Oscillations/Spring Mass http://www.surendranath.org/AppletsJ2.html http://www.surendranath.org/AppletsJ2.html http://www.surendranath.org/AppletsJ2.html

Applet Oscillations/Pendulum Oscillations/Pendulum http://www.surendranath.org/AppletsJ2.html http://www.surendranath.org/AppletsJ2.html http://www.surendranath.org/AppletsJ2.html

Homework – For Monday Research Foucaults Pendulum Research Foucaults Pendulum What is it? What is it? What is it for? What is it for? Could we make one? Could we make one? Research the Millennium Bridge Research the Millennium Bridge Why did it wobble? Why did it wobble? How did they fix it? How did they fix it?

Resonating Chapter 10.4

Lesson Objectives Introduce the concept of resonance when an oscillator is driven by a source Introduce the concept of resonance when an oscillator is driven by a source Explain and measure how resonance is a result of the driving frequency being similar to natural frequency Explain and measure how resonance is a result of the driving frequency being similar to natural frequency Be able to use F=ks to calculate spring constant k and calculate periodicity Be able to use F=ks to calculate spring constant k and calculate periodicity Understand how the resonance peak is usually very narrow without damping Understand how the resonance peak is usually very narrow without damping

Retrofitted Mass Dampers

Applet Forced Oscillations Forced Oscillations http://www.surendranath.org/Applets.html http://www.surendranath.org/Applets.html http://www.surendranath.org/Applets.html http://www.walter- fendt.de/ph14e/resonance.htm http://www.walter- fendt.de/ph14e/resonance.htm http://www.walter- fendt.de/ph14e/resonance.htm http://www.walter- fendt.de/ph14e/resonance.htm

No weight With Weight

The Tacoma Narrows Bridge

Question Hints

Hints for 110S 1.You will have to do quite a bit of rearranging of equations. 6.Think of the definition of potential difference when you are trying to work out how much energy is involved in passing charge through a battery.

Hints for 150S 2.Write an equation for distance travelled. Distance is the area under your sketched velocity–time graph.

Hints for 220S 3.To calculate the amount of stretch, consider the loss of gravitational potential energy of the jumper, all changed to elastic strain energy. You will end up with a quadratic equation to solve. 3.To calculate the amount of stretch, consider the loss of gravitational potential energy of the jumper, all changed to elastic strain energy. You will end up with a quadratic equation to solve.

Hints for 210D 1.Just remember that the kinetic energy at any point = total energy – stored energy.

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