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Lessons In Industrial Instrumentation-16

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3024

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

+Max.

Differentiation

Integration

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

V = ò Q dt

Q 0

-Max.

A.4. DIFFERENTIATION AND INTEGRATION ANIMATED

3025

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

+Max.

Differentiation

Integration

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

V = ò Q dt

Q 0

-Max.

3026

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

+Max.

Differentiation

Integration

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

V = ò Q dt

Q 0

-Max.

A.4. DIFFERENTIATION AND INTEGRATION ANIMATED

3027

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

+Max.

Differentiation

Integration

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

V = ò Q dt

Q 0

-Max.

3028

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

+Max.

Differentiation

Integration

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

V = ò Q dt

Q 0

-Max.

A.4. DIFFERENTIATION AND INTEGRATION ANIMATED

3029

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

+Max.

Differentiation

Integration

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

V = ò Q dt

Q 0

-Max.

3030

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

+Max.

Differentiation

Integration

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

V = ò Q dt

Q 0

-Max.

A.4. DIFFERENTIATION AND INTEGRATION ANIMATED

3031

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

+Max.

Differentiation

Integration

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

V = ò Q dt

Q 0

-Max.

3032

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

+Max.

Differentiation

Integration

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

V = ò Q dt

Q 0

-Max.

A.4. DIFFERENTIATION AND INTEGRATION ANIMATED

3033

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

+Max.

Differentiation

Integration

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

V = ò Q dt

Q 0

-Max.