Calculator Scientific

Scientific Formula Calculator

This tool provides quick calculations for common scientific and engineering formulas. Whether you're working with electrical circuits, motion physics, or power consumption, this calculator can help you find the values you need.

Ohm's Law: Calculate Voltage (V)

Ohm's Law describes the relationship between voltage, current, and resistance in an electrical circuit. Use this section to calculate the voltage (in Volts) when you know the current and resistance.

Kinematic Equation: Calculate Distance (d)

This section uses a fundamental kinematic equation to calculate the total distance traveled by an object under constant acceleration. Input the initial velocity, time, and acceleration to find the distance.

Electrical Power: Calculate Power (P)

Electrical power is the rate at which electrical energy is transferred by an electric circuit. Use this to calculate power (in Watts) given the voltage and current.

function calculateVoltage() { var current = parseFloat(document.getElementById("currentAmps").value); var resistance = parseFloat(document.getElementById("resistanceOhms").value); var resultDiv = document.getElementById("voltageResult"); if (isNaN(current) || isNaN(resistance)) { resultDiv.innerHTML = "Please enter valid numbers for current and resistance."; return; } var voltage = current * resistance; resultDiv.innerHTML = "Calculated Voltage: " + voltage.toFixed(2) + " Volts"; } function calculateDistance() { var initialVelocity = parseFloat(document.getElementById("initialVelocityMps").value); var time = parseFloat(document.getElementById("timeSeconds").value); var acceleration = parseFloat(document.getElementById("accelerationMps2").value); var resultDiv = document.getElementById("distanceResult"); if (isNaN(initialVelocity) || isNaN(time) || isNaN(acceleration)) { resultDiv.innerHTML = "Please enter valid numbers for initial velocity, time, and acceleration."; return; } // d = v0*t + 0.5*a*t^2 var distance = (initialVelocity * time) + (0.5 * acceleration * Math.pow(time, 2)); resultDiv.innerHTML = "Calculated Distance: " + distance.toFixed(2) + " Meters"; } function calculatePower() { var voltage = parseFloat(document.getElementById("voltageVoltsPower").value); var current = parseFloat(document.getElementById("currentAmpsPower").value); var resultDiv = document.getElementById("powerResult"); if (isNaN(voltage) || isNaN(current)) { resultDiv.innerHTML = "Please enter valid numbers for voltage and current."; return; } var power = voltage * current; resultDiv.innerHTML = "Calculated Power: " + power.toFixed(2) + " Watts"; }

Understanding the Formulas

A scientific calculator goes beyond basic arithmetic, allowing users to perform complex mathematical, scientific, and engineering calculations. This specific tool focuses on a few fundamental formulas:

Ohm's Law (V = I × R)

Named after German physicist Georg Ohm, this law states that the current through a conductor between two points is directly proportional to the voltage across the two points. The constant of proportionality is the resistance.

• V (Voltage): Measured in Volts (V), represents the electrical potential difference.
• I (Current): Measured in Amperes (A), represents the flow of electric charge.
• R (Resistance): Measured in Ohms (Ω), represents the opposition to the flow of electric current.

Example: If a circuit has a current of 2.5 Amperes and a resistance of 10 Ohms, the voltage across it would be 2.5 A * 10 Ω = 25 Volts.

Kinematic Equation (d = v₀t + ½at²)

This is one of the fundamental equations of kinematics, a branch of classical mechanics that describes the motion of points, bodies, and systems of bodies without considering the forces that cause them to move. This specific equation calculates the displacement (distance) of an object moving with constant acceleration.

• d (Distance): Measured in Meters (m), represents the total displacement.
• v₀ (Initial Velocity): Measured in Meters per Second (m/s), represents the velocity at the start of the time interval.
• t (Time): Measured in Seconds (s), represents the duration of the motion.
• a (Acceleration): Measured in Meters per Second squared (m/s²), represents the rate of change of velocity.

Example: An object starts with an initial velocity of 5 m/s, accelerates at 2 m/s² for 3 seconds. The distance covered would be (5 m/s * 3 s) + (0.5 * 2 m/s² * (3 s)²) = 15 m + 9 m = 24 Meters.

Electrical Power (P = V × I)

Electrical power is the rate at which electrical energy is converted to another form of energy (e.g., heat, light, mechanical work). It is a crucial concept in electrical engineering and everyday life for understanding energy consumption.

• P (Power): Measured in Watts (W), represents the rate of energy transfer.
• V (Voltage): Measured in Volts (V), represents the electrical potential difference.
• I (Current): Measured in Amperes (A), represents the flow of electric charge.

Example: A device operating at 120 Volts drawing 1.5 Amperes of current consumes 120 V * 1.5 A = 180 Watts of power.