Change in Radius of Elementary Cylinder given Rate of change of Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Change in Radius of Elementary Cylinder = Rate of Change of Volume/(-2*pi*Radius of Elementary Cylinder*Storage Coefficient*Rate of Change of Height)
dr = δVδt/(-2*pi*r*S*δhδt)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
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
Radius of Elementary Cylinder: 3.32 Meter --> 3.32 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
dr = δVδt/(-2*pi*r*S*δhδt) --> 0.92/(-2*pi*3.32*1.2*0.05)
Evaluating ... ...
dr = -0.73505295002281
STEP 3: Convert Result to Output's Unit
-0.73505295002281 Meter --> No Conversion Required
FINAL ANSWER
-0.73505295002281 -0.735053 Meter <-- Change in Radius of Elementary Cylinder
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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5 Rate of Change of Volume Calculators

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

Change in Radius of Elementary Cylinder given Rate of change of Volume Formula

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

What is Discharge?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

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

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

How to calculate Change in Radius of Elementary Cylinder given Rate of change of Volume using this online calculator? To use this online calculator for Change in Radius of Elementary Cylinder given Rate of change of Volume, enter Rate of Change of Volume (δVδt), Radius of Elementary Cylinder (r), Storage Coefficient (S) & Rate of Change of Height (δhδt) and hit the calculate button. Here is how the Change in Radius of Elementary Cylinder given Rate of change of Volume calculation can be explained with given input values -> -0.735053 = 9.2E-07/(-2*pi*3.32*1.2*0.05).

FAQ

What is Change in Radius of Elementary Cylinder given Rate of change of Volume?
The Change in Radius of Elementary Cylinder given Rate of change of Volume is defined as the value of change in radius of elementary cylinder when we have prior information of other parameters used and is represented as dr = δVδt/(-2*pi*r*S*δhδt) or Change in Radius of Elementary Cylinder = Rate of Change of Volume/(-2*pi*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, Radius of Elementary Cylinder is defined as the distance of the two circular bases from the center to the outer boundary, 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 Change in Radius of Elementary Cylinder given Rate of change of Volume?
The Change in Radius of Elementary Cylinder given Rate of change of Volume is defined as the value of change in radius of elementary cylinder when we have prior information of other parameters used is calculated using Change in Radius of Elementary Cylinder = Rate of Change of Volume/(-2*pi*Radius of Elementary Cylinder*Storage Coefficient*Rate of Change of Height). To calculate Change in Radius of Elementary Cylinder given Rate of change of Volume, you need Rate of Change of Volume (δVδt), Radius of Elementary Cylinder (r), 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, 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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