Acceleration – An Important Physical Phenomenon
Everyday, you see a lot of cars, bicycles, buses, or objects moving around you. But have you ever noticed how they could adopt such a motion that takes them from one place to another in a matter of moments. Yes this is all acceleration that is a physical phenomenon. Keeping in view the importance of this concept, calculator-online.net has also developed the free acceleration calculator for determining the speed of a body or an object with respect to some particular direction. So what do you think about this all?
Today, the topic of our discussion will be acceleration which is one of the basic but crucial concepts in itself. So let’s move on and learn more about it.
Stay with us!
What Is Acceleration?
In the light of physical phenomenon:
“The rate at which the velocity of the body changes along with time is known as the acceleration of that body”
Along with magnitude and direction, it belongs to the category of vector quantities. If an automobile slows down, for example, its acceleration will be in the reverse direction as its velocity. Furthermore, we may state that any object whose velocity changes will be regarded as a speeding object. Moreover, you can also analyse an object’s speed by using the best acceleration calculator in seconds.
Acceleration Formula:
The acceleration of a moving object can easily be determined by the basic relation given as below:
Acceleration = Final Velocity – Initial Velocity/Change In Time
Units of Acceleration:
According to system international, the basic unit to represent acceleration is m/s^2
Direction of Acceleration:
The direction of acceleration is in the direction of velocity, another important concept in physics.
Dimensions of Acceleration:
Keeping in view the units of acceleration, its dimensions are as follows:
MT^-2
Types of Acceleration:
In this section, we will be going through some basic acceleration kinds that are very important in physics. Let’s move on!
Uniform Acceleration:
If the object remains its speed as constant, then it would be having constant acceleration too. In simple words, if the velocity of an object does not change overtime, then its acceleration will be uniform. Subject to the free acceleration calculator to find this uniform acceleration of the body.
Example:
Suppose you are on a long ride with your beautiful wife. The weather is so cool and you want to enjoy it with your dear partner. That is why you run the car at constant slow speed. At this stage, its acceleration is not changing and is considered uniform.
Non-Uniform Acceleration:
This concept is totally the reverse of the uniform case. If the velocity of the body gets increased or even decreased with the passage of time, then you can say its having non uniform acceleration.
Example:
Let yourself be in a car race on a long road. Due to traffic and other obstacles, you keep on increasing or decreasing the car’s speed. And this is the moment where you can consider your ride’s acceleration as the non uniform one.
Average Acceleration:
Now if the overall change in the velocity is being divided by the overall time taken by the body to cause this velocity change, then it is said to be in average acceleration.
Example:
If a car’s velocity is 5m/s in the first minute and 55m/s in the next second, then you can say it is having an average acceleration of 30m/s.
Instantaneous Acceleration:
The acceleration of the body at various instantaneous instants is known as the instantaneous acceleration.
Formula:
You can determine this particular velocity of the body by subjecting to the following equation:
a_instantaneous = lim_delta(t)->0 delta(V)/delta(t)
Example:
If a bicycler is running a bicycle at varying velocities with different time intervals, then we can say it is having instantaneous acceleration that you can also measure with the free acceleration calculator.
Tangential Acceleration:
This is the acceleration of the body along the tangent line. Usually, this kind of velocity is determined for objects running in circular motion.
Example:
If you are moving a stone tied to a string or thread in a circular path, then you can determine its tangential speed at any instant either manually or by using the online acceleration calculator in a blink of an eye.
Curvilinear Acceleration:
When an object moves in a circular path, then its acceleration will be considered curvilinear if its direction of motion remains constant. The same concept can further be clarified by using the acceleration calculator in a matter of seconds.
Example:
Let’s suppose a bike is moving in a circular path. At every instant its direction of motion is being changed at a constant rate which represents it is in curvilinear motion.
Positive Acceleration:
Now if the acceleration of the body increases with respect to that of the time, then it is having positive acceleration.
Negative Acceleration:
If the velocity of the object decreases with time, then it’s actually having a negative acceleration that is also known as the term deceleration.
Other Acceleration Equations:
Till now we only discussed the generic formula for the acceleration that is also taken into consideration by the free acceleration calculator as well. But here we will be exploring some other relative equations that could help you in determining this physical quantity. Let’s have a look at these ones:
Acceleration with Distance:
With distance involved in the calculations, you can easily find the acceleration of the object by subjecting to the following equation:
Formula:
a = (v2 − u2) / 2s
Where:
a = acceleration,
v = final velocity,
u = velocity at starting point
s = total distance covered.
You must keep in mind that this formula can only be used in case of constant acceleration.
Average Acceleration:
You can find the average acceleration by using the expression below:
Average Acceleration = change in velocity/change in time
Force and Acceleration:
When it comes to force plus acceleration, Newton’s second law of motion comes into mind. You can determine the acceleration of the object by letting to the following expression:
F = ma
Or
a = F/m
Where:
F = force applied on the object to cause it to move
a = acceleration produced in case of the applied force
Numerical Problems (How to Find Acceleration?):
Find the acceleration of the car that attains the velocity of 56m/s in the duration of about 4sec.
solution:
You can instantly resolve this problem by using the free acceleration calculator. However, when it comes to manual computations, subject to the following steps below:
Acceleration = change in velocity/time taken
Acceleration = 56/4
Acceleration = 14m/s^2
Which is our required answer and can also be verified with a swift acceleration calculator.
Statement:
The stone is falling from a mountain at the velocity of 69m/s in the East south. How to find average acceleration if it took about 55 sec for it to reach the ground surface?
Solution:
Here we have:
Acceleration = velocity/time
Acceleration = 69/55
Acceleration = 1.254m/s^2
You can also cross check these value results by the use of an acceleration calculator.
Gravitational Acceleration:
The acceleration that is caused in an object by the pulling action of the Earth is known as the gravitational acceleration.it is denoted by the subscript g.
Value:
The exact value of acceleration due to gravity is about 9.8m/s^2
Statistics of g:
Below is a well defined table that goes on putting a light at various important stats about the gravitational acceleration.
Acceleration Due to Gravity (g) | |
Symbol | g |
Dimensional Formula | M0L1T-2 |
SI Unit | ms-2 |
Formula | g = GM/r2 |
Values of g in SI | 9.806 ms-2 |
Values of g in CGS | 980 cm s-2 |
Formula:
You can now determine the acceleration due to gravity by subjecting to the following expression:
f = mg —>(1)
According to the universal gravitational law,
f = GmM/(r+h)^2—>(2)
Where,
f = force between two bodies,
G = universal gravitational constant whose value is about (6.67×10-11 Nm2/kg2)
m = object’s mass,
M = earth’s mass,
r = earth’s radius.
h = height of the body from the surface of the earth.
Comparing (1) and (2):
f = GmM/(r+h)^2
mg = GmM/(r+h)2
Or
g = Gm/r^2
The free acceleration calculator also works on the same formula to find the body’s acceleration if it is falling freely under the action of gravitational pull.
Confusion: (Negative Acceleration and Deceleration)
Deceleration occurs when an object moves in a direction opposite to that of the velocity’s direction. The main impact of deceleration is on the speed of the object which gets reduced under its action. And when it comes to the negative acceleration, it shows velocity in the opposite plane system. In short, deceleration may or may not be termed negative acceleration. The same is the case for negative acceleration as well and is highlighted by the acceleration calculator as well.
Freefall:
As the name suggests, this kind of motion will actually happen under the action of gravitational force. It produces an acceleration in the object that causes it to move towards the ground i.e; freefall motion.
Applications of Acceleration:
Acceleration is a physical phenomenon whose real world applications are widely spread all around. Let us have a look at some of these examples:
When a Person Runs:
Suppose there is a race organised in your county in which many players are taking part. After the race starts, the athletes run at the speed of 4 miles per towards the east direction. Just after a couple of minutes, they change their direction by increasing the speed upto 6 miles per hour. Since the speed and direction both keep changing, acceleration is there involved.
A Turning Car:
Whenever a car runs on the road, it has constant acceleration due to the no change in the direction. And now the turn comes over where the driver slows down the car and takes a turn. Since the velocity along with direction are constantly changing here, the car is accelerating. You can also analyse this change in the acceleration by using the free online acceleration calculator.
When a Person Walks:
Whenever a person that may also be you sometimes, starts a walk on the street, he has the acceleration. This is because the walking person may change his/her speed at any instant and in any direction. And rest you better know that the change in these quantities is subject to the production of the acceleration.
When You Jump:
Whenever a person jumps on the ground from a mountain or a certain height, at the start the velocity is totally zero (0). After the person is about to reach the ground, the velocity gets maximum and thus causes the acceleration.
Usage of Acceleration Calculator:
You can calculate various parameters that are closely related to the acceleration by using this best acceleration calculator for sure. Let’s throw a light at its working for a moment!
- What you need to do is to make a selection regarding the element that you wish to determine.
- After you do that, go for entering the parameters associated with the selection in their designated fields
- At last, hit the calculate button and there you go!
- The calculator instantly determines the output and shows the final answer along with calculations on your device’s screen
How would you track down beginning acceleration?
Indeed, you can switch this equation up for acceleration computation, all you want to isolate the two sides by the mass, so: a = F/m. To work out acceleration, essentially, you should partition the power by the mass of the article being sped up.
Wrapping It Up:
Acceleration has a wide range of applications in real life, starting from a stone to the whole galaxy. Understanding the basics of acceleration aids us in examining Newton’s and Einstein’s theories. Rest when it comes to calculations, the free acceleration calculator is around the corner always to assist you.
We hope this guidepost may assist you in learning each and everything about this particular physical term.
Good Luck!