Immersed Depth Calculator

✖Buoyancy Force is an upward force exerted by a fluid that opposes the weight of a partially or fully immersed object.ⓘ Buoyancy Force [F_b]			+10% -10%
✖Area of Cross-Section MM is the enclosed surface area, product of length and breadth.ⓘ Area of Cross-Section [A]			+10% -10%
✖Specific Weight Fluid is the ratio of a body’s weight to its volume.ⓘ Specific Weight Fluid [γ]			+10% -10%

✖Immersed Depth is the depth at which the signal has decreased by 0.1 °C.ⓘ Immersed Depth [d_im]

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Formula

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Immersed Depth

Formula

`"d"_{"im"} = "F"_{"b"}/("A"*"γ")`

Example

`"0.43m"="10.75N"/("0.05m²"*"0.5kN/m³")`

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Immersed Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Immersed Depth = Buoyancy Force/(Area of Cross-Section*Specific Weight Fluid)
d_im = F_b/(A*γ)
This formula uses 4 Variables

Variables Used

Immersed Depth - (Measured in Meter) - Immersed Depth is the depth at which the signal has decreased by 0.1 °C.
Buoyancy Force - (Measured in Newton) - Buoyancy Force is an upward force exerted by a fluid that opposes the weight of a partially or fully immersed object.
Area of Cross-Section - (Measured in Square Meter) - Area of Cross-Section MM is the enclosed surface area, product of length and breadth.
Specific Weight Fluid - (Measured in Newton per Cubic Meter) - Specific Weight Fluid is the ratio of a body’s weight to its volume.

STEP 1: Convert Input(s) to Base Unit

Buoyancy Force: 10.75 Newton --> 10.75 Newton No Conversion Required
Area of Cross-Section: 0.05 Square Meter --> 0.05 Square Meter No Conversion Required
Specific Weight Fluid: 0.5 Kilonewton per Cubic Meter --> 500 Newton per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_im = F_b/(A*γ) --> 10.75/(0.05*500)

Evaluating ... ...

d_im = 0.43

STEP 3: Convert Result to Output's Unit

0.43 Meter --> No Conversion Required

FINAL ANSWER

0.43 Meter <-- Immersed Depth

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

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< 17 Level Measurement Calculators

Liquid Level

Go Liquid Level between Plates = ((Capacitance-Capacitance with No Fluid)*Height of Plates)/(Capacitance with No Fluid*Dielectric Constant)

Non-Conductive Liquid Capacitance

Go Capacitance = (Dielectric Constant*Liquid Level between Plates*Capacitance with No Fluid)-(Height of Plates*Capacitance with No Fluid)

Magnetic Permeability of Liquid

Go Dielectric Constant = Height of Plates*(Capacitance-Capacitance with No Fluid)/(Liquid Level between Plates*Capacitance with No Fluid)

Height of plates

Go Height = Difference in Liquid Level*(Capacitance with No Liquid*Dielectric Constant)/(Capacitance-Capacitance with No Liquid)

Capacitance with No Liquid

Go Capacitance with No Fluid = Capacitance/((Liquid Level between Plates*Dielectric Constant)+Height of Plates)

Weight of Body in Liquid

Go Weight of Material = Weight of Air-(Immersed Depth*Specific Weight Fluid*Area of Cross-Section)

Weight of Air

Go Weight of Air = (Immersed Depth*Specific Weight*Area of Cross-Section)+Weight of Material

Buoyancy Force on Cylindrical Displacer

Go Buoyancy Force = (Specific Weight Fluid*pi*Diameter of Pipe^2*Length of Displacer)/4

Float diameter

Go Diameter of Pipe = sqrt(4*Buoyancy Force/(Specific Weight Fluid*Length of Displacer))

Length of displacer submerged in liquid

Go Length of Displacer = 4*Buoyancy Force/(Specific Weight Fluid*(Diameter of Pipe^2))

Cross-Sectional Area of Object

Go Area of Cross-Section = Buoyancy Force/(Immersed Depth*Specific Weight Fluid)

Immersed Depth

Go Immersed Depth = Buoyancy Force/(Area of Cross-Section*Specific Weight Fluid)

Buoyancy

Go Buoyancy Force = Immersed Depth*Area of Cross-Section*Specific Weight Fluid

Weight of Material in Container

Go Weight of Material = Volume of Material*Specific Weight Fluid

Weight on Force Sensor

Go Weight on Force Sensor = Weight of Material-Force

Weight of Displacer

Go Weight of Material = Weight on Force Sensor+Force

Depth of Fluid

Go Depth = Change in Pressure/Specific Weight Fluid

Immersed Depth Formula

Immersed Depth = Buoyancy Force/(Area of Cross-Section*Specific Weight Fluid)
d_im = F_b/(A*γ)

Does buoyancy change with depth?

The buoyant force doesn't depend on the overall depth of the object submerged. In other words, as long as the object is fully submerged, bringing it to a deeper and deeper depth will not change the buoyant force. This might seem strange since the pressure gets larger as you descend to deeper depths.

How to Calculate Immersed Depth?

Immersed Depth calculator uses Immersed Depth = Buoyancy Force/(Area of Cross-Section*Specific Weight Fluid) to calculate the Immersed Depth, The Immersed Depth formula is defined as the temperature has dropped by 0.1 °C shall then be stated as the minimum immersion depth. The basic cause of falling temperature readings taken by a sensor at shallower and shallower immersion depths is the temperature difference between the sensor's two endpoints. Immersed Depth is denoted by d_im symbol.

How to calculate Immersed Depth using this online calculator? To use this online calculator for Immersed Depth, enter Buoyancy Force (F_b), Area of Cross-Section (A) & Specific Weight Fluid (γ) and hit the calculate button. Here is how the Immersed Depth calculation can be explained with given input values -> 0.42 = 10.75/(0.05*500).

FAQ

What is Immersed Depth?

The Immersed Depth formula is defined as the temperature has dropped by 0.1 °C shall then be stated as the minimum immersion depth. The basic cause of falling temperature readings taken by a sensor at shallower and shallower immersion depths is the temperature difference between the sensor's two endpoints and is represented as d_im = F_b/(A*γ) or Immersed Depth = Buoyancy Force/(Area of Cross-Section*Specific Weight Fluid). Buoyancy Force is an upward force exerted by a fluid that opposes the weight of a partially or fully immersed object, Area of Cross-Section MM is the enclosed surface area, product of length and breadth & Specific Weight Fluid is the ratio of a body’s weight to its volume.

How to calculate Immersed Depth?

The Immersed Depth formula is defined as the temperature has dropped by 0.1 °C shall then be stated as the minimum immersion depth. The basic cause of falling temperature readings taken by a sensor at shallower and shallower immersion depths is the temperature difference between the sensor's two endpoints is calculated using Immersed Depth = Buoyancy Force/(Area of Cross-Section*Specific Weight Fluid). To calculate Immersed Depth, you need Buoyancy Force (F_b), Area of Cross-Section (A) & Specific Weight Fluid (γ). With our tool, you need to enter the respective value for Buoyancy Force, Area of Cross-Section & Specific Weight Fluid 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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