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Lessons In Industrial Instrumentation-16

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3034

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

3035

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.

3036

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

3037

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.

3038

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

3039

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.

3040

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

3041

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.

3042

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

3043

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.