How to Calculate and Solve for Sum of Forces Acting on Particle | Mineral Processing
Last Updated on November 21, 2021
The image above represents sum of forces acting on particle.
To compute for sum of forces acting on particle, two essential parameters are needed and these parameters are Mass of Particle (mp) and Acceleration (a).
The formula for calculating sum of forces acting on particle:
Σf = mp.a
Where:
Σf = Sum of Forces Acting on Particle
mp = Mass of Particle
a = Acceleration
Let’s solve an example;
Find the sum of forces acting on particle when the mass of particle is 12 and the acceleration is 4.
This implies that;
mp = Mass of Particle = 12
a = Acceleration = 4
Σf = mp.a
Σf = (12)(4)
Σf = 48
Therefore, the sum of forces acting on particle is 48 N.
Calculating the Mass of Particle when the Sum of Forces Acting on Particle and the Acceleration is Given.
mp = Σf / a
Where:
mp = Mass of Particle
Σf = Sum of Forces Acting on Particle
a = Acceleration
Let’s solve an example;
Find the mass of particle when the sum of forces acting on particle is 35 and the acceleration is 5.
This implies that;
Σf = Sum of Forces Acting on Particle = 35
a = Acceleration = 5
mp = Σf / a
mp = 35 / 5
mp = 7
Therefore, the mass of particle is 7.
Calculating the Acceleration when the Sum of Forces Acting on Particle and the Mass of Particle is Given.
a = Σf / mp
Where:
a = Acceleration
Σf = Sum of Forces Acting on Particle
mp = Mass of Particle
Let’s solve an example;
Find the acceleration when the sum of forces acting on particle is 24 and the mass of particle is 8.
This implies that;
Σf = Sum of Forces Acting on Particle = 24
mp = Mass of Particle = 8
a = Σf / mp
a = 24 / 8
a = 3
Therefore, the acceleration is 3.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the sum of forces acting on particle.
To get the answer and workings of the sum of forces acting on particle using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.
Now, Click on Mineral Processing under Materials and Metallurgical
Now, Click on Sum of Forces Acting on Particle under Mineral Processing
The screenshot below displays the page or activity to enter your values, to get the answer for the sum of forces acting on particle according to the respective parameter which is the Mass of Particle (mp) and Acceleration (a).
Now, enter the values appropriately and accordingly for the parameters as required by the Mass of Particle (mp) is 12 and Acceleration (a) is 4.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the sum of forces acting on particle and presents the formula, workings and steps too.