Radius of Elementary Cylinder given Rate of change of Volume Calculator

✖Rate of Change of Volume is the ratio of change in volume to change in time.ⓘ Rate of Change of Volume [δVδt]			+10% -10%
✖Change in Radius of Elementary Cylinder is the rate of change of a cylinder's radius is equal to twice the rate of change of its height.ⓘ Change in Radius of Elementary Cylinder [dr]			+10% -10%
✖Storage Coefficient is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer.ⓘ Storage Coefficient [S]			+10% -10%
✖Rate of Change of Height is the ratio of change in height to change in time.ⓘ Rate of Change of Height [δhδt]			+10% -10%

✖Radius of Elementary Cylinder is defined as the distance of the two circular bases from the center to the outer boundary.ⓘ Radius of Elementary Cylinder given Rate of change of Volume [r]

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Radius of Elementary Cylinder given Rate of change of Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Elementary Cylinder = Rate of Change of Volume/(2*pi*Change in Radius of Elementary Cylinder*Storage Coefficient*Rate of Change of Height)
r = δVδt/(2*pi*dr*S*δhδt)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radius of Elementary Cylinder - (Measured in Meter) - Radius of Elementary Cylinder is defined as the distance of the two circular bases from the center to the outer boundary.
Rate of Change of Volume - (Measured in Cubic Centimeter per Second) - Rate of Change of Volume is the ratio of change in volume to change in time.
Change in Radius of Elementary Cylinder - (Measured in Meter) - Change in Radius of Elementary Cylinder is the rate of change of a cylinder's radius is equal to twice the rate of change of its height.
Storage Coefficient - Storage Coefficient is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer.
Rate of Change of Height - (Measured in Meter per Second) - Rate of Change of Height is the ratio of change in height to change in time.

STEP 1: Convert Input(s) to Base Unit

Rate of Change of Volume: 0.92 Cubic Centimeter per Second --> 0.92 Cubic Centimeter per Second No Conversion Required
Change in Radius of Elementary Cylinder: 0.7 Meter --> 0.7 Meter No Conversion Required
Storage Coefficient: 1.2 --> No Conversion Required
Rate of Change of Height: 0.05 Meter per Second --> 0.05 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = δVδt/(2*pi*dr*S*δhδt) --> 0.92/(2*pi*0.7*1.2*0.05)

Evaluating ... ...

r = 3.4862511343939

STEP 3: Convert Result to Output's Unit

3.4862511343939 Meter --> No Conversion Required

FINAL ANSWER

3.4862511343939 ≈ 3.486251 Meter <-- Radius of Elementary Cylinder

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Rate of Change of Volume Calculators

Rate of Change of Volume given Radius of Elementary Cylinder

LaTeX Go Rate of Change of Volume = (2*pi*Radius of Elementary Cylinder*Change in Radius of Elementary Cylinder*Storage Coefficient*Rate of Change of Height)

Radius of Elementary Cylinder given Rate of change of Volume

LaTeX Go Radius of Elementary Cylinder = Rate of Change of Volume/(2*pi*Change in Radius of Elementary Cylinder*Storage Coefficient*Rate of Change of Height)

Area of Aquifer given Rate of Change of Volume

LaTeX Go Aquifer Area = Rate of Change of Volume/((Rate of Change of Height)*Storage Coefficient)

Rate of Change of Volume given Storage Coefficient

LaTeX Go Rate of Change of Volume = (Rate of Change of Height)*Storage Coefficient*Aquifer Area

Radius of Elementary Cylinder given Rate of change of Volume Formula

LaTeX Go

Radius of Elementary Cylinder = Rate of Change of Volume/(2*pi*Change in Radius of Elementary Cylinder*Storage Coefficient*Rate of Change of Height)
r = δVδt/(2*pi*dr*S*δhδt)

What is Storage Coefficient?

Storativity or the storage coefficient is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer.

How to Calculate Radius of Elementary Cylinder given Rate of change of Volume?

Radius of Elementary Cylinder given Rate of change of Volume calculator uses Radius of Elementary Cylinder = Rate of Change of Volume/(2*pi*Change in Radius of Elementary Cylinder*Storage Coefficient*Rate of Change of Height) to calculate the Radius of Elementary Cylinder, Radius of Elementary Cylinder given Rate of change of Volume formula is defined as a measure of the radius of an elementary cylinder in an unsteady flow context, where the rate of change of volume is a critical parameter in determining the cylinder's dimensions. Radius of Elementary Cylinder is denoted by r symbol.

How to calculate Radius of Elementary Cylinder given Rate of change of Volume using this online calculator? To use this online calculator for Radius of Elementary Cylinder given Rate of change of Volume, enter Rate of Change of Volume (δVδt), Change in Radius of Elementary Cylinder (dr), Storage Coefficient (S) & Rate of Change of Height (δhδt) and hit the calculate button. Here is how the Radius of Elementary Cylinder given Rate of change of Volume calculation can be explained with given input values -> 3.486251 = 9.2E-07/(2*pi*0.7*1.2*0.05).

FAQ

What is Radius of Elementary Cylinder given Rate of change of Volume?

Radius of Elementary Cylinder given Rate of change of Volume formula is defined as a measure of the radius of an elementary cylinder in an unsteady flow context, where the rate of change of volume is a critical parameter in determining the cylinder's dimensions and is represented as r = δVδt/(2*pi*dr*S*δhδt) or Radius of Elementary Cylinder = Rate of Change of Volume/(2*pi*Change in Radius of Elementary Cylinder*Storage Coefficient*Rate of Change of Height). Rate of Change of Volume is the ratio of change in volume to change in time, Change in Radius of Elementary Cylinder is the rate of change of a cylinder's radius is equal to twice the rate of change of its height, Storage Coefficient is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer & Rate of Change of Height is the ratio of change in height to change in time.

How to calculate Radius of Elementary Cylinder given Rate of change of Volume?

Radius of Elementary Cylinder given Rate of change of Volume formula is defined as a measure of the radius of an elementary cylinder in an unsteady flow context, where the rate of change of volume is a critical parameter in determining the cylinder's dimensions is calculated using Radius of Elementary Cylinder = Rate of Change of Volume/(2*pi*Change in Radius of Elementary Cylinder*Storage Coefficient*Rate of Change of Height). To calculate Radius of Elementary Cylinder given Rate of change of Volume, you need Rate of Change of Volume (δVδt), Change in Radius of Elementary Cylinder (dr), Storage Coefficient (S) & Rate of Change of Height (δhδt). With our tool, you need to enter the respective value for Rate of Change of Volume, Change in Radius of Elementary Cylinder, Storage Coefficient & Rate of Change of Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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