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Golden Ratio Calculator
Centrifugal Force Calculator

Centrifugal force calculator helps you find the force acting on a rotating object basing on its mass, velocity and radius of rotation. You can use it not only to figure out how to calculate centrifugal force, but also the acceleration and angular velocity of the object. Read on to learn what is the centrifugal force definition and how to apply the centrifugal force equation.

The relation between force and acceleration for objects moving in a straight line can be found in our acceleration calculator.

 

Formula

The centrifugal force formula is:

f = m * v2 / r

where:

f: centrifugal (centripetal) force, in N

m: mass of the object, in Kg

r: radius, in m

v: velocity, in m/s

 

Example

F = 10 * (3)2 / 2 = 45N

Centrifugal acceleration = v2 / 2 = (3)2 / 2 = 4.5

Weighted Average Calculator

To understand what a weighted average calculator is one must first understand what a what a weighted average is. Weighted average has nothing to do with weight conversion, but sometimes people confuse these concepts. The typical average, or mean, is when all values are added and divided by the total number of values. This can be computed using an average calculator and simply by hand or using a hand held calculator since all the values have equal weights. But what happens when values have different weights? Below you will see how to calculate the weighted average using the weighted average formula.

Formula

Average = (w1x1+w2x2+……+wnxn) / (w1+w2+…+wn)

Example

Average = [(1×8)+(2×7)+(3×6)+(4×5)+(5×4)+(6×3)+(7×2)+(8×1)] / (1+2+3+4+5+6+7+8)

= 3.3333

Ratio Calculator

A ratio is a quantitative relationship between two numbers that describes how many times one value can contain another. Applications of ratios are fairly ubiquitous, and the concept of ratios is quite intuitive. This could easily be demonstrated by giving a child half as many cookies as his sister. While the child may not be able to voice the injustice using ratios, the raucous protestations that would undoubtedly ensue should make it immediately obvious that he is well aware he has received 1:2 as many cookies as his sister, conceptually, if not mathematically.

LCM Calculator

The LCM calculatorcalculates the least common multiple of two to six numbers.The LCM calculator will determine the least common multiple between two to six numbers. This calculation is essential when adding or subtracting fractions with unlike denominators. The text in this article will explain what is LCM, show how to find the least common multiple and show hot to use the least common multiple calculator.

 

Formula

 

Example

 

For example, for LCM(12,30) we find:

  • Prime factorization of 12 = 2 * 2 * 3 = 22 * 31 * 50
  • Prime factorization of 30 = 2 * 3 * 5 = 21 * 31 * 51
  • Using the set of prime numbers from each set with the highest exponent value we take 22 * 31 * 51 = 60
  • Therefore LCM(12,30) = 60.
GCF and LCM Calculator

The Least Common Multiple (LCM) is also referred to as the Lowest Common Multiple (LCM) and Least Common Denominator (LCD). For two integers a and b, denoted LCM(a,b), the LCM is the smallest integer that is evenly divisible by both a and b. For example, LCM(2,3) = 6 and LCM(6,10) = 30. For the least common multiple of more than 2 numbers, say a, b, c and d, it is the smallest integer that is evenly divisible by all numbers and can be calculated such that LCM(a,b,c,d) = LCM(LCM(LCM(a,b),c),d).The Least Common Multiple (LCM) is also referred to as the Lowest Common Multiple (LCM) and Least Common Denominator (LCD). For two integers a and b, denoted LCM(a,b), the LCM is the smallest integer that is evenly divisible by both a and b. For example, LCM(2,3) = 6 and LCM(6,10) = 30. For the least common multiple of more than 2 numbers, say a, b, c and d, it is the smallest integer that is evenly divisible by all numbers and can be calculated such that LCM(a,b,c,d) = LCM(LCM(LCM(a,b),c),d).

 

Formula

 

Example

For example, for LCM(12,30) we find:

  • Prime factorization of 12 = 2 * 2 * 3 = 22 * 31 * 50
  • Prime factorization of 30 = 2 * 3 * 5 = 21 * 31 * 51
  • Using the set of prime numbers from each set with the highest exponent value we take 22 * 31 * 51 = 60
  • Therefore LCM(12,30) = 60.

Find the GCF of 18 and 27

  • The factors of 18 are 1, 2, 3, 6, 9, 18.
  • The factors of 27 are 1, 3, 9, 27.
  • The common factors of 18 and 27 are 1, 3 and 9.
  • The greatest common factor of 18 and 27 is 9.
GCF Calculator

The GCF is the largest factor that is present between a set of numbers. This is also known as the greatest common divisor or GCD. This is important in applications of mathematics such as simplifying polynomials where often it’s important to pull out common factors. Next we need to know how to find the GCF.The GCF calculator helps you find the greatest common factor between numbers in a set.

The GCF calculator finds the greatest common factor between two and six numbers. The phrase greatest common factor calculator may be used interchangeably, as that’s what the GCF acronym stands for. First we need to know what is GCF and how to find the greatest common factor.

 

Formula

 

Example

Find the GCF of 18 and 27

The factors of 18 are 1, 2, 3, 6, 9, 18.

The factors of 27 are 1, 3, 9, 27.

The common factors of 18 and 27 are 1, 3 and 9.

The greatest common factor of 18 and 27 is 9.

Factorial Calculator

Use our factorial calculator to calculate the factorial of any natural number.Our factorial calculator is a tool that can determine the factorial of any natural number from 0 up to 170. Read on to learn what is a factorial, and what is the factorial formula. This article will also present you with rules that will make it simple for you to calculate more complex expressions involving factorials.

 

Formula

n! = n * (n-1)!

Example

5 factorial is 5! = 5 x 4 x 3 x 2 x 1 = 120

Factor Calculator

The factor calculator will get all the factors of any positive integer The factor calculator will determine the factors of any positive integer. A factor is any number that divides evenly into another number. There are rules of divisibility that greatly assists one in finding factors by hand.

 

Formula

 

Example

Factors: 1, 2, 3, 4, 5, 6, 8, 15, 20, 24, 30, 40, 60, 120

Factor Pairs: (1, 120) (2, 60) (3, 40) (4, 30) (5, 24) (6, 20) (8, 15)

Prime factors: 120 = 2 × 2 × 2 × 3 × 5

Average Calculator

The average calculator calculates the average of a set of numbers between two and eight.

The average calculator will calculator the mean of up to eight numbers. An interesting aspect of the calculator is you can see the change in the mean as more values are entered. Before we use the calculator, we should know how to calculate the average. Note that the mean is the same as average and can be used interchangeably.

 

Formula

Average = (a1 + a2 + … + an) / n

Example

Average= (1+2+3+4+5+6+7+8+) / 8 = 4.5

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