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Tools City

Acceleration Calculator

Tools City's Acceleration calculator works the same as the other calculators where you put different parameters and get the required answer. This calculator works in three modes; First is when speed difference is given, Second, when the distance traveled is given, Third is when the mass and force are given.

Speed difference
Speed difference
m/s
m/s
sec
m/s²

 

What is Acceleration?  

Acceleration is the rate at which any object or a body changes its velocity. We can also say that Acceleration is the rate of change of velocity of any object or a body. Meter per second square is the SI unit of acceleration. This shows that acceleration will be calculated in m / s2.

You can easily experience acceleration in your daily life; when you are riding a bike, an accelerator is used to change the speed of the bike. The name accelerator suggests that an accelerator is something that is able to produce acceleration. Another example is a man driving a car; as you know, an accelerator is always present in every vehicle, so the primary purpose of an accelerator is to change the speed or velocity of the moving vehicle. 

How to calculate the acceleration of any object or a body?

Acceleration is measured in several ways depending on the parameters given. 

Newton's Second Law of Motion also states a definition of acceleration. It states that the acceleration of any object or a body is directly proportional to the force on the object or a body keeping its mass constant. 

Mathematically:

Acceleration ∝ Force

Acceleration = Force/mass

a = f/m

Or

f = ma

Let us consider an example of Newton's Second Law of Motion. A force of 270 N is applied on an object whose mass is 45 Kg, what is the acceleration produced on the object?

Data:

Force = F = 270 N

Mass = m = 45 Kg 

Acceleration = a = ??

Solution:

Using Newton's Second Law of Motion,

F = ma

a = f / m

a = 270 N / 45 Kg

a = 6 m / s2

By using this formula, you can easily find the acceleration of any object or a body if the values for mass and force are given.

Other formulas for finding the acceleration can be considered from the three equations of motion: 

First equation: Vf = Vi + at

Second equation: S = Vit + 1/2 at2

Third equation: 2as = Vf2 - Vi2

You can see "a" acceleration in all these equations; you can easily find out acceleration if you know other parameters.

Let us consider an example for finding acceleration:

A car is moving with an initial velocity of 10 m/s after 30 seconds, the velocity of the car changes to 70 m/s. Find the acceleration in the car?

Data: 

Initial Velocity = Vi = 10 m/s 

Final Velocity = Vf = 70 m/s

Time = t = 30 s

Acceleration = a = ??

Solution:

From the first equation of motion:

Vf = Vi + at

a = Vf - Vi / t

a = 70 - 10 / 30 

a = 2 m / s2

Hence, the acceleration of the car is 2 m / s2

You can easily find the acceleration of any object or a body by knowing its distance, velocity, and the time taken for that distance. 

If you know the initial velocity and the final velocity of a body along with the time taken from initial velocity to final velocity, then again you can easily figure out the acceleration of the body. 

Mathematically,

Acceleration = Final velocity - Initial velocity / Time taken

a = Vf - Vi / t

Let us consider an example for this formula: 

A bus has started to move with an initial velocity of 0 m / s, and; it reaches half of the distance in 30 minutes, then its velocity becomes 60 m / s. What is the acceleration of the bus when it reaches half of the distance?

Data:

Initial Velocity = Vi = 0 m/s

Final Velocity = Vf = 60 m/s

Time = t = 30 m = 30 x 60 = 1800 s

Acceleration = a = ??

Solution: 

a = Vf - Vi / t

a = 60 - 0 / 1800

a = 0.034 m / s2

Is it possible to calculate acceleration within seconds?

Yes, Tools City has made it possible for you to calculate acceleration within seconds by providing its one of the vital tools named " Acceleration Calculator ". 

How to use Tools City's Acceleration Calculator?

Tools City's Acceleration calculator works the same as the other calculators where you put different parameters and get the required answer. This calculator works in three modes; First is when speed difference is given, Second, when the distance traveled is given, Third is when the mass and force are given.

For the first mode, when speed difference is given, you need to fill in initial speed, final speed, and time so that you can figure out acceleration. You can also change the units of these parameters, like for initial speed, you can use m/s, km/h, ft/s, km/s, etc.

For the second mode, you need to fill in the boxes for initial speed, distance, and time, when the distance traveled is given. In this mode, you can change the units of any of these parameters for initial speed, distance, time, and acceleration. For the third mode, when mass and force are given, you will have to fill in the mass and net force boxes. Likewise in the previous modes, this mode enables you to change the units of these quantities. 

When you are done with calculating acceleration, you can again calculate for different values by clicking the reset button.

Let us try to find the acceleration of a body with this calculator. A force of 49 KN is applied on a body of mass 58 kg. Find the acceleration in the body? 

When you fill the box of mass with 58 kg, and then you fill the box of Net force with 49 KN, you will see the answer in the acceleration box, which is 845 m / s2.