Calculators for the FE Exam
A Professional Suite of Tools to Practice for the Fundamentals of Engineering Exam
FE Exam Practice Calculator
Choose the engineering principle you want to practice.
Ohm’s Law (V = IR)
Bernoulli’s Equation
Default is for water. Change as needed.
Point 1
Point 2 (Solving for Pressure 2)
Results
What are Calculators for the FE Exam?
Calculators for the FE exam are specialized tools designed to help engineering candidates practice and solve problems typically found on the Fundamentals of Engineering (FE) exam. The actual exam, administered by NCEES, has a strict policy on approved calculator models. This online tool is not for use during the exam but serves as a practice suite to master the underlying formulas and concepts. It focuses on providing topic-specific calculators, such as for Ohm’s Law or Bernoulli’s Equation, allowing you to test your knowledge with realistic inputs and unit conversions, a critical skill for success.
FE Exam Formulas and Explanations
This tool incorporates key formulas from different engineering disciplines covered in the FE exam. Below are the formulas used in this calculator.
Ohm’s Law
Ohm’s Law describes the relationship between voltage (V), current (I), and resistance (R) in an electrical circuit. The formula is foundational to electrical engineering.
V = I * R
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| V | Voltage | Volts (V) | 0 – 480V |
| I | Current | Amperes (A) | 0 – 100A |
| R | Resistance | Ohms (Ω) | 0 – 1,000,000Ω |
Bernoulli’s Equation
Bernoulli’s equation is fundamental in fluid dynamics, relating pressure, velocity, and elevation between two points in a moving fluid. It is a statement of the conservation of energy for a flowing fluid.
P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂² + ρgh₂
| Variable | Meaning | Unit (SI) | Typical Range |
|---|---|---|---|
| P | Pressure | Pascals (Pa) | Atmospheric to several MPa |
| ρ (rho) | Fluid Density | kg/m³ | 1 (air) to 1000 (water) |
| v | Fluid Velocity | m/s | 0 – 100 m/s |
| g | Gravitational Acceleration | m/s² | 9.81 m/s² (constant) |
| h | Elevation Height | meters (m) | 0 – 1000 m |
Practical Examples
Example 1: Ohm’s Law Calculation
An electrical engineer needs to find the voltage required to push a current of 2 Amperes through a resistor of 12 Ohms.
- Inputs: Current (I) = 2 A, Resistance (R) = 12 Ω
- Calculation: V = 2 A * 12 Ω
- Result: Voltage (V) = 24 V
Example 2: Bernoulli’s Equation Calculation
A civil engineer is analyzing a water pipe. At Point 1, the pressure is 150 kPa, velocity is 2 m/s, and height is 5 m. At Point 2, the height increases to 10 m and the velocity slows to 1 m/s. What is the new pressure at Point 2? (Assume water density is 1000 kg/m³).
- Inputs: P₁=150,000 Pa, v₁=2 m/s, h₁=5 m, v₂=1 m/s, h₂=10 m, ρ=1000 kg/m³
- Calculation: P₂ = P₁ + ½ρ(v₁² – v₂²) + ρg(h₁ – h₂)
- Result: The calculator will solve for P₂ in Pascals, which can be converted to kPa. The result is approximately 99,550 Pa or 99.55 kPa.
How to Use This Calculators for the FE Exam Tool
- Select a Formula: Choose the desired calculator (e.g., Ohm’s Law, Bernoulli’s) from the dropdown menu.
- Enter Known Values: Fill in the input fields with the numbers from your practice problem.
- Check and Select Units: For calculators with unit options, ensure you select the correct unit for each input. The tool will handle conversions automatically to perform the calculation in a consistent base system (SI units).
- Calculate and Interpret: Click the “Calculate” button. The primary result is displayed prominently, with intermediate values or breakdowns shown below to help you understand the process. The dynamic chart will also update to visualize the relationship.
Key Factors That Affect FE Exam Calculations
- Unit Consistency: This is the most common source of errors. Always convert all inputs to a base system (like SI) before plugging them into a formula. A FE exam practice calculator like this one helps by automating it.
- Formula Selection: You must choose the correct formula for the problem statement. The FE Reference Handbook contains hundreds of formulas.
- Correct Variables: Ensure you are plugging the right values into the right variables (e.g., don’t mix up initial and final velocities).
- Calculator Proficiency: Being fast with an NCEES-approved calculator is crucial. You should know how to perform trigonometric functions, logarithms, and store values in memory.
- Theoretical Understanding: Rote memorization isn’t enough. You need to understand the concepts behind the formulas to know their limitations and assumptions (e.g., Bernoulli’s equation assumes inviscid, incompressible, steady flow).
- Time Management: With only a few minutes per question, speed is essential. Practicing with tools like these calculators for the fe exam builds that speed.
Frequently Asked Questions (FAQ)
- 1. Can I use this website on the actual FE exam?
- No. The NCEES has a very strict policy on approved calculators. This website is a study and practice tool only.
- 2. Why is unit handling so important?
- Exam questions often mix units (e.g., feet and inches, psi and Pa) to test your attention to detail. A failure to convert to a consistent system will result in a wrong answer.
- 3. What happens if I input non-numeric values?
- The calculator is designed to handle numbers only and will show an error or ‘NaN’ (Not a Number) if invalid text is entered.
- 4. How does the dynamic chart work?
- After you perform a calculation, the chart automatically generates a plot showing how the output would change if one of the key inputs were varied across a typical range, keeping other inputs constant.
- 5. Which calculator should I get for the real FE exam?
- Popular choices that are NCEES-approved include the Texas Instruments TI-36X Pro and the Casio fx-115ES Plus. Always check the latest NCEES calculator policy before buying one.
- 6. Does this tool cover every topic on the FE exam?
- No, this tool provides calculators for a selection of fundamental engineering topics to demonstrate the calculation and unit conversion process. The full FE exam is much broader.
- 7. What does the “Reset” button do?
- It clears all input fields and results, returning the calculator to its default state, ready for a new problem.
- 8. How can I practice more for the FE Exam?
- The best way is to solve official practice exams from NCEES and use resources like the FE Reference Handbook, which is the same one you’ll have on exam day.
Related Tools and Internal Resources
As you prepare for the FE Exam, these other calculators and resources might be useful:
- Unit Conversion Calculator – Practice converting between various engineering units.
- Beam Deflection Calculator – Solve for deflection in various beam loading scenarios.
- Fluid Dynamics Calculator – Another tool for fluid mechanics problems.
- Thermodynamics Cycle Analyzer – For problems related to thermo.
- Guide to Engineering Ethics – Prepare for the ethics portion of the exam.
- FE Exam Study Plan Generator – Create a custom study schedule.
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