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Datum Height for Total Energy per unit Weight of Water in Flow Section Formula

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Height above datum is the elevation from surface of zero elevation to which heights of various points are referenced. Check FAQs

y = E total - ((\frac{{V mean}^{2}}{2 \cdot [g]}) + d f)

y - Height above Datum?E_total - Total Energy?V_mean - Mean Velocity?d_f - Depth of Flow?[g] - Gravitational acceleration on Earth?

Datum Height for Total Energy per unit Weight of Water in Flow Section Example

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Here is how the Datum Height for Total Energy per unit Weight of Water in Flow Section equation looks like with Values.

Here is how the Datum Height for Total Energy per unit Weight of Water in Flow Section equation looks like with Units.

Here is how the Datum Height for Total Energy per unit Weight of Water in Flow Section equation looks like.

98.9375 = 8.6 - ((\frac{{10.1}^{2}}{2 \cdot 9.8066}) + 3.3)

98.9375mm = 8.6J - ((\frac{{10.1m/s}^{2}}{2 \cdot 9.8066m/s²}) + 3.3m)

98.9375 = 8.6 - ((\frac{{10.1}^{2}}{2 \cdot 9.8066}) + 3.3)

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Datum Height for Total Energy per unit Weight of Water in Flow Section Solution

Follow our step by step solution on how to calculate Datum Height for Total Energy per unit Weight of Water in Flow Section?

FIRST Step Consider the formula

y = E total - ((\frac{{V mean}^{2}}{2 \cdot [g]}) + d f)

Next Step Substitute values of Variables

∴

y = 8.6J - ((\frac{{10.1m/s}^{2}}{2 \cdot [g]}) + 3.3m)

Next Step Substitute values of Constants

∴

y = 8.6J - ((\frac{{10.1m/s}^{2}}{2 \cdot 9.8066m/s²}) + 3.3m)

Next Step Prepare to Evaluate

∴

y = 8.6 - ((\frac{{10.1}^{2}}{2 \cdot 9.8066}) + 3.3)

Next Step Evaluate

∴

y = 0.0989374557060767m

Next Step Convert to Output's Unit

∴

y = 98.9374557060767mm

LAST Step Rounding Answer

∴

y = 98.9375mm

Datum Height for Total Energy per unit Weight of Water in Flow Section Formula Elements

Variables

Constants

Height above Datum

Height above datum is the elevation from surface of zero elevation to which heights of various points are referenced.

Symbol: y

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Height above Datum

Total Energy

Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration.

Symbol: E_total

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Total Energy

Mean Velocity

Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Depth of Flow

Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.

Symbol: d_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Flow

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Specific Energy and Critical Depth category

Go Total Energy per unit Weight of Water in Flow Section

E total = (\frac{{V mean}^{2}}{2 \cdot [g]}) + d f + y

Go Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section

V mean = \sqrt{(E total - (d f + y)) \cdot 2 \cdot [g]}

Go Depth of Flow given Total Energy per Unit Weight of Water in Flow Section

d f = E total - ((\frac{{V mean}^{2}}{2 \cdot [g]}) + y)

Go Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum

E total = (\frac{{V FN}^{2}}{2 \cdot [g]}) + d f

How to Evaluate Datum Height for Total Energy per unit Weight of Water in Flow Section?

Datum Height for Total Energy per unit Weight of Water in Flow Section evaluator uses Height above Datum = Total Energy-(((Mean Velocity^2)/(2*[g]))+Depth of Flow) to evaluate the Height above Datum, The Datum Height for Total Energy per unit Weight of Water in Flow Section is defined as elevation of bed slope with respect to ground level. Height above Datum is denoted by y symbol.

How to evaluate Datum Height for Total Energy per unit Weight of Water in Flow Section using this online evaluator? To use this online evaluator for Datum Height for Total Energy per unit Weight of Water in Flow Section, enter Total Energy (E_total), Mean Velocity (V_mean) & Depth of Flow (d_f) and hit the calculate button.

FAQs on Datum Height for Total Energy per unit Weight of Water in Flow Section

What is the formula to find Datum Height for Total Energy per unit Weight of Water in Flow Section?

The formula of Datum Height for Total Energy per unit Weight of Water in Flow Section is expressed as Height above Datum = Total Energy-(((Mean Velocity^2)/(2*[g]))+Depth of Flow). Here is an example- 98937.46 = 8.6-(((10.1^2)/(2*[g]))+3.3).

How to calculate Datum Height for Total Energy per unit Weight of Water in Flow Section?

With Total Energy (E_total), Mean Velocity (V_mean) & Depth of Flow (d_f) we can find Datum Height for Total Energy per unit Weight of Water in Flow Section using the formula - Height above Datum = Total Energy-(((Mean Velocity^2)/(2*[g]))+Depth of Flow). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Datum Height for Total Energy per unit Weight of Water in Flow Section be negative?

Yes, the Datum Height for Total Energy per unit Weight of Water in Flow Section, measured in Length can be negative.

Which unit is used to measure Datum Height for Total Energy per unit Weight of Water in Flow Section?

Datum Height for Total Energy per unit Weight of Water in Flow Section is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Datum Height for Total Energy per unit Weight of Water in Flow Section can be measured.

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