Systems 3. Feedbacks Coffee System Tc TRTR The hotter the coffee is The faster it cools Tc-T R...

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Systems 3

Transcript of Systems 3. Feedbacks Coffee System Tc TRTR The hotter the coffee is The faster it cools Tc-T R...

Systems 3

Feedbacks

Coffee System

Tc

TR

The hotter the coffee isThe faster it cools

Tc-TRCooling Rate

The higher the cooling rateThe colder the coffee

Cooling Rate Tc-TR

+

-

Coffee System

Tc

TR

The hotter the coffee isThe faster it cools

Tc-TRCooling Rate

The higher the cooling rateThe colder the coffee

-

+ - = -

Negative connection

The higher the cooling rateThe colder the coffee

Cooling Rate Tc-TR

-Tc

TR

Positive connection

The hotter the coffee isThe faster it cools

Tc-TRCooling Rate+

Tc

TR

Negative feedback loop

Tc

TR

The hotter the coffee isThe faster it cools

Tc-TRCooling Rate

The higher the cooling rateThe colder the coffee

-

+ - = -

Cools with a characteristic time constant, minutes

Classic Positive Feedback

Positive Feedback

Thermostat

Domestic trouble ??

A husband and wife have an electric blanket that has his and her controls. The husband likes it warm and the wife likes it cold.

It’s a very cold night out.

What type feedback is it when they have the wrong controls?

A husband and wife have an electric blanket that has his and her controls. The husband likes it warm and the wife likes it cold.

It’s a very cold night out.

What type feedback is it when they have the wrong controls?

A “positive” feedback loop

Domestic trouble ??

A husband and wife have an electric blanket that has his and her controls. The husband like it warm and the wife likes it cold.

It’s a very cold night out.

What type feedback is it when they have the correct controls?

A husband and wife have an electric blanket that has his and her controls. The husband like it warm and the wife likes it cold.

It’s a very cold night out.

What type feedback is it when they have the correct controls?

Two separate negative feedback loops.

Equilibrium

Stable equilibrium (negative feedback)

Unstable equilibrium (positive feedback)

• ,

PerturbationsSmall changes that disturb a system from its equilibrium state.

Hot Plate Hot Plate

A simple Earth

Heating rate

TE

A simple Earth

Heating rate

TE

Albedo

Absorbed solar

Complete the system diagram

A simple Earth

Heating rate

TE

Albedo

Absorbed solar

Complete the system diagram

+

-

Daisy World

Ave

rage

sur

face

Tem

p

Daisy coverage

TsDaisies

TsDaisies Albedo

Daisy World

Average surface Temp

Ts Daisies

Dai

sy c

over

age Ts Daisies

Daisy World

Average surface Temp

Ts DaisiesD

aisy

cov

erag

e Ts Daisies

albedo

P1

P1

Ts Daisies

albedoP2

P2