Rate of Change of Height given Radius of Elementary Cylinder 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%
✖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 [r]			+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 given Radius of Elementary Cylinder [δhδt]

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Formula

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Rate of Change of Height given Radius of Elementary Cylinder

Formula

`"δhδt" = "δVδt"/(-2*pi*"r"*"dr"*"S")`

Example

`"-0.052504m/s"="0.92cm³/s"/(-2*pi*"3.32m"*"0.7m"*"1.2")`

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Rate of Change of Height given Radius of Elementary Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.
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.

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
Radius of Elementary Cylinder: 3.32 Meter --> 3.32 Meter 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δhδt = δVδt/(-2*pi*r*dr*S) --> 0.92/(-2*pi*3.32*0.7*1.2)

Evaluating ... ...

δhδt = -0.0525037821444864

STEP 3: Convert Result to Output's Unit

-0.0525037821444864 Meter per Second --> No Conversion Required

FINAL ANSWER

-0.0525037821444864 ≈ -0.052504 Meter per Second <-- Rate of Change of Height

(Calculation completed in 00.004 seconds)

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< 2 Rate of Change of Height Calculators

Rate of Change of Height given Radius of Elementary Cylinder

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

Rate of Change of Height given Rate of Change of Volume

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

Rate of Change of Height given Radius of Elementary Cylinder Formula

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

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 Rate of Change of Height given Radius of Elementary Cylinder?

Rate of Change of Height given Radius of Elementary Cylinder calculator uses Rate of Change of Height = Rate of Change of Volume/(-2*pi*Radius of Elementary Cylinder*Change in Radius of Elementary Cylinder*Storage Coefficient) to calculate the Rate of Change of Height, The Rate of Change of Height given Radius of Elementary Cylinder is defined as the value of rate of change of height when we have prior information of other parameters used. Rate of Change of Height is denoted by δhδt symbol.

How to calculate Rate of Change of Height given Radius of Elementary Cylinder using this online calculator? To use this online calculator for Rate of Change of Height given Radius of Elementary Cylinder, enter Rate of Change of Volume (δVδt), Radius of Elementary Cylinder (r), Change in Radius of Elementary Cylinder (dr) & Storage Coefficient (S) and hit the calculate button. Here is how the Rate of Change of Height given Radius of Elementary Cylinder calculation can be explained with given input values -> -0.073505 = 9.2E-07/(-2*pi*3.32*0.7*1.2).

FAQ

What is Rate of Change of Height given Radius of Elementary Cylinder?

The Rate of Change of Height given Radius of Elementary Cylinder is defined as the value of rate of change of height when we have prior information of other parameters used and is represented as δhδt = δVδt/(-2*pi*r*dr*S) or Rate of Change of Height = Rate of Change of Volume/(-2*pi*Radius of Elementary Cylinder*Change in Radius of Elementary Cylinder*Storage Coefficient). Rate of Change of Volume is the ratio of change in volume to change in time, Radius of Elementary Cylinder is defined as the distance of the two circular bases from the center to the outer boundary, 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.

How to calculate Rate of Change of Height given Radius of Elementary Cylinder?

The Rate of Change of Height given Radius of Elementary Cylinder is defined as the value of rate of change of height when we have prior information of other parameters used is calculated using Rate of Change of Height = Rate of Change of Volume/(-2*pi*Radius of Elementary Cylinder*Change in Radius of Elementary Cylinder*Storage Coefficient). To calculate Rate of Change of Height given Radius of Elementary Cylinder, you need Rate of Change of Volume (δVδt), Radius of Elementary Cylinder (r), Change in Radius of Elementary Cylinder (dr) & Storage Coefficient (S). With our tool, you need to enter the respective value for Rate of Change of Volume, Radius of Elementary Cylinder, Change in Radius of Elementary Cylinder & Storage Coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Rate of Change of Height?

In this formula, Rate of Change of Height uses Rate of Change of Volume, Radius of Elementary Cylinder, Change in Radius of Elementary Cylinder & Storage Coefficient. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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