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Lessons In Industrial Instrumentation-16

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3044

APPENDIX A. FLIP-BOOK ANIMATIONS

Note how the height increase of the volume graph directly relates to the area accumulated by the flow graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

+Max.

Q 0

-Max.

A.4. DIFFERENTIATION AND INTEGRATION ANIMATED

3045

Note how the height increase of the volume graph directly relates to the area accumulated by the flow graph . . .

Max.

V

0

dV

Differentiation

Integration

Flow rate (Q) is the

 

 

derivative of volume

 

 

with respect to time

 

 

Q = dt

 

 

+Max.

Q 0

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

-Max.

3046

APPENDIX A. FLIP-BOOK ANIMATIONS

Note how the height increase of the volume graph directly relates to the area accumulated by the flow graph . . .

Max.

V

0

dV

Differentiation

Integration

Flow rate (Q) is the

 

 

derivative of volume

 

 

with respect to time

 

 

Q = dt

 

 

+Max.

Q 0

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

-Max.

A.4. DIFFERENTIATION AND INTEGRATION ANIMATED

3047

Note how the height increase of the volume graph directly relates to the area accumulated by the flow graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

+Max.

Q 0

-Max.

3048

APPENDIX A. FLIP-BOOK ANIMATIONS

Note how the height increase of the volume graph directly relates to the area accumulated by the flow graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

+Max.

Q 0

-Max.

A.4. DIFFERENTIATION AND INTEGRATION ANIMATED

3049

Note how the height increase of the volume graph directly relates to the area accumulated by the flow graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

+Max.

Q 0

-Max.

3050

APPENDIX A. FLIP-BOOK ANIMATIONS

Note how the height increase of the volume graph directly relates to the area accumulated by the flow graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

+Max.

Q 0

-Max.

A.4. DIFFERENTIATION AND INTEGRATION ANIMATED

3051

Note how the height increase of the volume graph directly relates to the area accumulated by the flow graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

+Max.

Q 0

-Max.

3052

APPENDIX A. FLIP-BOOK ANIMATIONS

Note how the height increase of the volume graph directly relates to the area accumulated by the flow graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

+Max.

Q 0

-Max.

A.4. DIFFERENTIATION AND INTEGRATION ANIMATED

3053

Note how the height increase of the volume graph directly relates to the area accumulated by the flow graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

+Max.

Q 0

-Max.