Classical Mechanics Calculator

Unit Conversion, Free Fall Calculation & Incline Plane Analysis

Mechanics Unit Converter

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Unit Conversion Guide

Unit conversion is a fundamental operation in physics that allows us to convert values between different measurement systems. The International System of Units (SI) is the most commonly used unit system in science.

Conversion Formula: Target Value = Input Value × (Source Unit Factor / Target Unit Factor)

For example: 1 meter = 100 centimeters, 1 kilometer = 1000 meters, 1 mile ≈ 1609.34 meters.

Free Fall Calculator

Free Fall Motion Visualization

Height: 100m
Fall Time
4.52
seconds
Final Velocity
44.27
m/s
Kinetic Energy
98000
J (assuming 1kg)

Free Fall Principles

Free fall refers to motion under the influence of gravity alone. At Earth's surface, gravitational acceleration is approximately 9.8 m/s².

Fall Time: t = √(2h/g)
Final Velocity: v = √(2gh)
Kinetic Energy: E = (1/2)mv²

Where: h = height, g = gravitational acceleration, m = object mass, v = final velocity

Incline Plane Force Analyzer

Incline Force Visualization

10kg
30°
Parallel Force Component
49.00
N
Normal Force Component
84.87
N
Friction Force
16.97
N
Acceleration
3.20
m/s²

Incline Force Principles

When an object is placed on an incline, gravity is resolved into two components: the parallel component causes the object to slide down, while the perpendicular component creates normal force.

Parallel Component: F∥ = mg·sinθ
Normal Component: F⊥ = mg·cosθ
Friction Force: Ff = μ·F⊥
Acceleration: a = g·(sinθ - μ·cosθ)

Where: m = mass, g = gravitational acceleration, θ = incline angle, μ = friction coefficient