Braking Force Calculator

Calculate the braking force required to stop a vehicle based on its mass, velocity, and deceleration time.

Input Parameters

Calculation Results

Calculation Formula

Braking Force (F) = Mass (m) × Acceleration (a)

Where:
F = Braking Force (N)
m = Vehicle Mass (kg)
a = Deceleration (m/s²) = Initial Velocity / Deceleration Time

Braking Force Calculator Usage Guide

Learn how to use the Braking Force Calculator and understand its working principles

How to Use the Calculator

  1. Enter the vehicle mass in kilograms (kg).
  2. Enter the initial velocity of the vehicle in meters per second (m/s).
  3. Enter the deceleration time in seconds (s) - this is the time it takes for the vehicle to come to a stop.
  4. Click the "Calculate" button to compute the braking force and deceleration.
  5. The results will show the braking force required in Newtons (N) and the deceleration in meters per second squared (m/s²).

Understanding Braking Force

Braking force is the force that opposes the motion of a vehicle to bring it to a stop. It is calculated using Newton's second law of motion:

F = m × a

Where F is the braking force, m is the mass of the vehicle, and a is the acceleration (in this case, deceleration). The negative value of acceleration represents the deceleration.

Example Calculation

If a 1500 kg car is traveling at 20 m/s and comes to a stop in 5 seconds, the braking force can be calculated as follows:

  1. Deceleration (a) = Initial Velocity / Deceleration Time = 20 m/s / 5 s = 4 m/s²
  2. Braking Force (F) = Mass × Deceleration = 1500 kg × 4 m/s² = 6000 N

This means the braking system must generate a force of 6000 Newtons to bring the car to a stop in 5 seconds.