Cross Sectional Area of Prism given Buoyancy Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cross-Sectional Area of Body = Buoyant Force/(Specific Weight of body*Difference in Pressure Head)
A = FBuoyant/(ω*HPressurehead)
This formula uses 4 Variables
Variables Used
Cross-Sectional Area of Body - (Measured in Square Meter) - Cross-Sectional Area of Body is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Buoyant Force - (Measured in Newton) - Buoyant Force is the upward force exerted by any fluid upon a body placed in it.
Specific Weight of body - (Measured in Newton per Cubic Meter) - Specific Weight of body the ratio of a body’s weight P to its volume V.
Difference in Pressure Head - (Measured in Meter) - Difference in Pressure Head is considered in the practical application of Bernoulli's equation.
STEP 1: Convert Input(s) to Base Unit
Buoyant Force: 44280 Newton --> 44280 Newton No Conversion Required
Specific Weight of body: 75537 Newton per Cubic Meter --> 75537 Newton per Cubic Meter No Conversion Required
Difference in Pressure Head: 0.7 Meter --> 0.7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = FBuoyant/(ω*HPressurehead) --> 44280/(75537*0.7)
Evaluating ... ...
A = 0.837432554339501
STEP 3: Convert Result to Output's Unit
0.837432554339501 Square Meter --> No Conversion Required
FINAL ANSWER
0.837432554339501 0.837433 Square Meter <-- Cross-Sectional Area of Body
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
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National Institute of Technology Karnataka (NITK), Surathkal
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12 Buoyancy Force and Center of Buoyancy Calculators

Buoyant Force when Body Floats at between two Immiscible Fluids of Specific Weights
Go Buoyant Force = (Specific Weight of body*Specific Volume at Point 1+Specific Weight 2*Specific Volume at Point 2)
Total Buoyant Force given Volumes of Elementary Prism Submerged in Fluids
Go Buoyant Force = (Specific Weight of body*Specific Volume at Point 1+Specific Weight 2*Specific Volume at Point 2)
Cross Sectional Area of Prism given Buoyancy Force
Go Cross-Sectional Area of Body = Buoyant Force/(Specific Weight of body*Difference in Pressure Head)
Specific Weight pf Fluid given Buoyancy Force
Go Specific Weight of body = Buoyant Force/(Difference in Pressure Head*Cross-Sectional Area of Body)
Pressure Head Difference given Buoyancy Force
Go Difference in Pressure Head = Buoyant Force/(Specific Weight of body*Cross-Sectional Area of Body)
Buoyant Force on Vertical Prism
Go Buoyant Force = Specific Weight of body*Difference in Pressure Head*Cross-Sectional Area of Body
Cross Sectional Area of Prism given Volume of Vertical Prism dV
Go Cross-Sectional Area of Body = Volume of Body/Difference in Pressure Head
Pressure Head Difference given Volume of Vertical Prism dV
Go Difference in Pressure Head = Volume of Body/Cross-Sectional Area of Body
Volume of Vertical Prism
Go Volume of Body = Difference in Pressure Head*Cross-Sectional Area of Body
Volume of Submerged Body given Buoyant Force on Entire Submerged Body
Go Volume of Body = Buoyant Force/Specific Weight of body
Buoyancy Force given Volume of Vertical Prism
Go Buoyant Force = Specific Weight of body*Volume of Body
Buoyant Force on Entire Submerged Body
Go Buoyant Force = Specific Weight of body*Volume of Body

Cross Sectional Area of Prism given Buoyancy Force Formula

Cross-Sectional Area of Body = Buoyant Force/(Specific Weight of body*Difference in Pressure Head)
A = FBuoyant/(ω*HPressurehead)

What is meant by Specific Weight?

Specific weight is the weight of a substance per unit volume in absolute units equal to the density multiplied by the acceleration of gravity.

How to Calculate Cross Sectional Area of Prism given Buoyancy Force?

Cross Sectional Area of Prism given Buoyancy Force calculator uses Cross-Sectional Area of Body = Buoyant Force/(Specific Weight of body*Difference in Pressure Head) to calculate the Cross-Sectional Area of Body, Cross Sectional Area of Prism given Buoyancy Force is cross sectional area of vertical prism in fluid. Cross-Sectional Area of Body is denoted by A symbol.

How to calculate Cross Sectional Area of Prism given Buoyancy Force using this online calculator? To use this online calculator for Cross Sectional Area of Prism given Buoyancy Force, enter Buoyant Force (FBuoyant), Specific Weight of body (ω) & Difference in Pressure Head (HPressurehead) and hit the calculate button. Here is how the Cross Sectional Area of Prism given Buoyancy Force calculation can be explained with given input values -> 0.837433 = 44280/(75537*0.7).

FAQ

What is Cross Sectional Area of Prism given Buoyancy Force?
Cross Sectional Area of Prism given Buoyancy Force is cross sectional area of vertical prism in fluid and is represented as A = FBuoyant/(ω*HPressurehead) or Cross-Sectional Area of Body = Buoyant Force/(Specific Weight of body*Difference in Pressure Head). Buoyant Force is the upward force exerted by any fluid upon a body placed in it, Specific Weight of body the ratio of a body’s weight P to its volume V & Difference in Pressure Head is considered in the practical application of Bernoulli's equation.
How to calculate Cross Sectional Area of Prism given Buoyancy Force?
Cross Sectional Area of Prism given Buoyancy Force is cross sectional area of vertical prism in fluid is calculated using Cross-Sectional Area of Body = Buoyant Force/(Specific Weight of body*Difference in Pressure Head). To calculate Cross Sectional Area of Prism given Buoyancy Force, you need Buoyant Force (FBuoyant), Specific Weight of body (ω) & Difference in Pressure Head (HPressurehead). With our tool, you need to enter the respective value for Buoyant Force, Specific Weight of body & Difference in Pressure Head 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 Cross-Sectional Area of Body?
In this formula, Cross-Sectional Area of Body uses Buoyant Force, Specific Weight of body & Difference in Pressure Head. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Cross-Sectional Area of Body = Volume of Body/Difference in Pressure Head
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