Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

This is an AMP page - Open full page! for all features.

Car Acceleration

Calculate acceleration of car

Sponsored Links

If you know the initial and final velocity of a car (or whatever) - and the time used - the average acceleration can be calculated as

a = dv / dt 

   = (vf - vs) / dt                                           (1)

where

a = acceleration of object (m/s2, ft/s2)

dv = change in velocity (m/s, ft/s)

vf = final speed (m/s, ft/s)

vs = start speed (m/s, ft/s)

dt = time used (s)

Common benchmark velocities for acceleration of cars and motorcycles are

  • 0 - 60 mph = 0 - 26.8 m/s = 0 - 96.6 km/h
  • 0 - 100 km/h = 0 - 27.8 m/s = 0 - 62.1 mph

Online Car Acceleration Calculator

km/h

start speed (km/h)

final speed (km/h)

time used (s)

mass of object (kg)


Load Calculator!

Note that force, work and power are calculated for mass acceleration only. Forces due to air resistance (drag) and rolling friction are not included. 

mph

start speed (mph)

final speed (mph)

time used (s)


Load Calculator!

Car Acceleration Diagram - km/h

Car Acceleration Diagram - mph

If you know the distance moved and the time used - the acceleration can be calculated as

a = 2 ds / dt2                                 (2)

where

ds = distance moved (m, ft)

Acceleration of some known cars

Acceleration Force

The acceleration force can be calculated as

F = m a                                (3)

where 

F = acceleration force (N, lbf)

m = mass of car (kg, slugs)

Acceleration Work

The acceleration work can be calculated as

W = F l                                    (4)

where 

W = work done (Nm, J, ft lbf)

l = distance moved (m, ft)

Acceleration Power 

The acceleration power can be calculated as

P = W / dt                                  (5)

where 

P = power (J/s, W, ft lbf/s)

Example - Car Acceleration

A car with mass 1000 kg (2205 lbm) accelerates from 0 m/s (0 ft/s) to 27.8 m/s (100 km/h, 91.1 ft/s, 62.1 mph) in 10 s.

The acceleration can be calculated from eq. 1 as

a = ((27.8 m/s) - (0 m/s)) / (10 s)

   = 2.78 m/s2

The acceleration force can be calculated from eq. 3 as

F = (1000 kg) (2.78 m/s2)

   = 2780 N

The distance moved can be calculated by rearranging eq. 2 to

ds = a dt2 / 2

    = (2.78 m/s2) (10 s)2 / 2

    = 139 m

The acceleration work can be calculated from eq. 4 as

W = (2780 N) (139 m)

    = 386420 J

The acceleration power can be calculated from eq. 5 as

P = (386420 J) / (10 s)

   = 38642 W

   = 38.6 kW

The calculation can also be done in Imperial units:

The acceleration can be calculated from eq. 1 as

a = ((91.1 ft/s) - (0 ft/s)) / (10 s)

   = 9.11 ft/s2

In the Imperial system mass is measured in slugs where 1 slug = 32.17405 lbm

The acceleration force can be calculated from eq. 3 as

F = ((2205 lbm) (1/32.17405 (slugs/ lbm)) ) (9.11 ft/s2)

   = 624 lbf

The distance moved can be calculated by rearranging eq. 2 to

ds = a dt2 / 2

    = (9.11 ft/s2) (10 s)2 / 2

    = 455 ft

The acceleration work can be calculated from eq. 4 as

W = (624 lbf) (455 ft)

    = 284075 ft lbf

  • 1 ft lbf = 1.36 J

The acceleration power can be calculated from eq. 5 as

P = (284075 ft lbf) / (10 s)

   = 28407 ft lbf/s

  • 1 ft lbf/s = 1.36 W = 0.00182 hp
Sponsored Links

Related Topics

Related Documents

Sponsored Links

Share

Search Engineering ToolBox

  • the most efficient way to navigate the Engineering ToolBox!

SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro .Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!

Privacy

We don't collect information from our users. Only emails and answers are saved in our archive. Cookies are only used in the browser to improve user experience.

Some of our calculators and applications let you save application data to your local computer. These applications will - due to browser restrictions - send data between your browser and our server. We don't save this data.

Google use cookies for serving our ads and handling visitor statistics. Please read Google Privacy & Terms for more information about how you can control adserving and the information collected.

AddThis use cookies for handling links to social media. Please read AddThis Privacy for more information.

Topics

Unit Converters

Temperature

oC
oF


Load Calculator!

Length

m
km
in
ft
yards
miles
naut miles


Load Calculator!

Area

m2
km2
in2
ft2
miles2
acres


Load Calculator!

Volume

m3
liters
in3
ft3
us gal


Load Calculator!

Weight

kgf
N
lbf


Load Calculator!

Velocity

m/s
km/h
ft/min
ft/s
mph
knots


Load Calculator!

Pressure

Pa (N/m2)
bar
mm H2O
kg/cm2
psi
inches H2O


Load Calculator!

Flow

m3/s
m3/h
US gpm
cfm


Load Calculator!

8 27

This website use cookies. By continuing to browse you are agreeing to our use of cookies! Learn more