The Boffins Portal Team Many forces familiar to us operate in a linear fashion. For example, a car moving on a straight road. Forces are the subject of linear kinematics, an area that studies objects whose motion takes place in a straight line. However, torque forces act differently from this. They are rotational forces with a turning effect, making …
DEFINITION: Concurrent forces are multiple forces acting on a single point or object, where their lines of action intersect at a common point, resulting in a combined effect on the object. EXPLANATION: From mashing potatoes in the kitchen and typing on a keyboard to using a crane to lift heavy construction materials, we apply force …
Being faced with many numbers can be overwhelming. It makes sense to try and find a number that is representative of the data you’re looking at. This is where average comes in. Average in mathematics is a value that is a representation of all the numbers in a data set. Average or mean isn’t always …
DEFINITION: Permutations represent the arrangements of a set of elements in a particular order, where the order matters. It calculates the number of possible arrangements without repetition. EXPLANATION: When you arrange items in a particular order, we call this a permutation. An example is when you have A, E, T and want to take three …
DEFINITION: Utilitarianism is an ethical theory emphasizing actions that generate the greatest overall happiness or utility for the largest number of people, focusing on maximizing collective well-being or benefit. EXPLANATION: Utilitarianism is a moral theory about what should be good or right in a society. Famously expressed through the maxim “the greatest amount of good …
DEFINITION: In mathematics, slope refers to the measure of steepness or inclination of a line, expressed as the ratio of vertical change (rise) to horizontal change (run) between two points on the line. EXPLANATION: Have you ever walked or ran up a hill and found yourself feeling exhausted? You may have wondered at how steep …
One of the most interesting objects in geometry is prisms. These are solid objects that have straight-level sides with identical opposite facing ends or bases. They take many different shapes such as the square prism, rectangular prisms, pyramids, hexagonal prisms, etc. A common prism that you will often encounter is the triangular prism. It gets …
Transversals are one of the best ways of gaining insights into the principles of geometry and angles. These principles are also useful for practical purposes such as when building structures. However, before we get into them, let’s first understand a few basics… What are parallel lines? When two lines never cross each other, we call …
How can you know if there is any connection between the variables in your dataset? Statisticians usually turn to a tool called linear regression. This involves a process that enables you to identify specific trends in your data. In linear regression, there is always an independent variable and a dependent variable. We use the independent …
You come across rectangular prisms every day but you may not refer to them as rectangular prisms. This basic three-dimensional shape makes a major part of our world. Prisms are three-dimensional shapes that have flat faces on all sides and similar parallel ends. Rectangular prisms are shapes that have 6 rectangular faces. Opposite faces on …