The problem asks us to calculate the pressure exerted by a storage tank on the ground, given that the tank exerts a force of 10000 newtons and the base of the tank in contact with the ground is a 4m by 2m rectangle. We are given the formula $pressure = \frac{force}{area}$.

Applied MathematicsPhysicsPressureAreaForceUnits
2025/4/1

1. Problem Description

The problem asks us to calculate the pressure exerted by a storage tank on the ground, given that the tank exerts a force of 10000 newtons and the base of the tank in contact with the ground is a 4m by 2m rectangle. We are given the formula pressure=forceareapressure = \frac{force}{area}.

2. Solution Steps

First, we need to calculate the area of the base of the tank.
The base is a rectangle with dimensions 4m and 2m.
The area of a rectangle is given by:
Area=length×widthArea = length \times width
Area=4m×2m=8m2Area = 4m \times 2m = 8 m^2
Now, we can calculate the pressure using the formula pressure=forceareapressure = \frac{force}{area}.
Pressure=10000 newtons8m2Pressure = \frac{10000 \text{ newtons}}{8 m^2}
Pressure=1250 newtons/m2Pressure = 1250 \text{ newtons}/m^2

3. Final Answer

The pressure on the ground due to the tank is 1250 newtons/m².

Related problems in "Applied Mathematics"

The problem asks to calculate the pressure exerted by a car on the road, given the total force exert...

PhysicsPressureForceAreaUnits
2025/6/5

The problem asks us to calculate the pressure exerted by a block on the ground in two different scen...

PhysicsPressureForceAreaUnits
2025/6/5

The problem provides the pressure exerted by a brick on a table ($240 \ N/m^2$) and the area of the ...

PhysicsPressureForceAreaUnits Conversion
2025/6/5

The problem describes an mRNA molecule (ARNm) consisting of 1800 ribonucleotides. This mRNA is used ...

BiologyBiochemistrymRNAProtein SynthesisLinear EquationsAlgebra
2025/6/5

The price of milk is currently $3.89 per gallon and has been increasing by 5% per year. We need to c...

Compound InterestPercentage IncreaseFinancial MathematicsExponential Growth
2025/6/4

The questions ask for: - Abu's share of the profit. - Ojo's share of the profit for the year. - The ...

Profit SharingAccountingFinancial Mathematics
2025/6/4

We are given some information from a bank statement and need to calculate the adjusted cash book bal...

AccountingFinancial StatementsCash BookBank ReconciliationGross Profit
2025/6/4

The problem provides information about a gene with a total molecular mass of 360,000 carbon units. A...

BiologyGeneticsMolecular BiologyBiochemistryNucleotide CalculationAmino Acid CalculationmRNA SequenceCodons
2025/6/4

A company produces two types of lamps, $L_1$ and $L_2$. Manufacturing $L_1$ requires 20 minutes of m...

Linear ProgrammingOptimizationConstraintsObjective Function
2025/6/4

The problem has three parts: (a) Find the linear regression equation for the given data set and esti...

Linear RegressionCombinatoricsPermutationsMarginal RevenueCalculusDerivatives
2025/6/4