Acceleration Calculator
Compute linear acceleration from velocity change, force and mass, or classic kinematics formulas with unit conversion built in.
How to use
Select the method, enter the required values with units, and the calculator converts everything to SI before computing acceleration.
Methodology
The tool applies standard kinematics and Newtonian mechanics formulas to compute linear acceleration and then converts the result to ft/s² and g.
Full original guide (expanded)
This professional-grade acceleration calculator helps students, engineers, and enthusiasts compute linear acceleration using multiple methods: change in velocity over time, Newton’s second law (force and mass), and two standard kinematics equations. It removes unit headaches, validates inputs in real time, and presents trustworthy results ready for coursework, lab work, or engineering estimates.
Data Source and Methodology
Authoritative physics reference: OpenStax, University Physics Volume 1 — Chapter 2: Kinematics (2016, updated 2022).
Conventional standard gravity is used for g conversion (g0 = 9.80665 m/s²).
Tutti i calcoli si basano rigorosamente sulle formule e sui dati forniti da questa fonte.
Glossary of Variables
- a — Acceleration (m/s², ft/s², or g).
- u — Initial velocity (m/s, km/h, mph, ft/s).
- v — Final velocity (m/s, km/h, mph, ft/s).
- t — Time interval (s, min, h). Must be > 0.
- s — Displacement (m, km, ft, mi). Signed along chosen axis.
- F — Force (N, kN, lbf). Converted to N internally.
- m — Mass (kg, g, lb). Converted to kg internally.
- g — Acceleration relative to standard gravity (g0 = 9.80665 m/s²).
Worked Example
Suppose a car accelerates from 0 to 100 km/h in 8 s. Using method 1:
- Convert 100 km/h to m/s (about 27.78 m/s).
- Compute acceleration from change in velocity over time: about 3.472 m/s².
- Express in g by dividing by standard gravity: about 0.354 g.
The calculator performs these conversions and computations automatically and consistently.
Frequently Asked Questions (FAQ)
What is acceleration? Acceleration is the rate at which velocity changes with time. Positive or negative signs indicate direction in one-dimensional motion.
Which formulas does this tool support? Four core formulas: change in velocity over time, Newton’s second law, the displacement–time kinematics relation, and the energy-form velocity–displacement relation.
Can I mix different units? Yes. You may enter velocity in mph, time in minutes, or distance in feet—the calculator converts all inputs to SI internally before computing.
Why do I see negative acceleration? A negative value indicates acceleration opposite to the positive axis you chose. For example, slowing down when positive velocity is defined forward.
How accurate is the g conversion? We use the conventional standard gravity g0 = 9.80665 m/s². The g value reflects the ratio of acceleration to standard gravity.
Is there any limitation with imperial units for force and mass? No. We convert lbf to Newtons and pounds (lb) to kilograms before applying Newton’s second law, preserving physical consistency.
Why does the calculator require t > 0 in time-based methods? Time-based methods become undefined at t = 0. The tool prevents division by zero and alerts you to correct inputs.