Posts Tagged ‘proportion’
Friday, October 30th, 2009
How to Solve Work Rate Problems
Description
A detailed tutorial on solving work rate problems. Step by step tutorial including several examples of work rate problems for reference.
Overview
A work rate problem is a word problems that asks you to calculate the amount of time it will take to do something with two different rates of work. They first show up in basic algebra courses but work rate problems get more complicated and will continue on even in calculus. It is easier to solve work rate problems if you use a chart. First, you need to find the task rate – the rate at which each person is doing something. You do this by dividing the number of tasks (which should be one) by how many hours it takes them to finish it. Then you choose a variable for time. Your task will take that variable divided by the number of hours. You should come up with 2 (or more) results for task. Add these results together and have them equal the number of people there are total working on the task. Then solve for your time variable. Sometimes it will be difficult to solve for the time variable without using an algebra trick of multiplication to change the numbers a bit.
Tags: add, algebra, calculate, Calculus, chart, divide, hours, problem, proportion, rate, task, time, variable, word, work
Posted in Algebra | No Comments »
Thursday, October 1st, 2009
An Introduction to Hooke’s Law
Description
A detailed tutorial on how to use Hooke’s law. Step by step tutorial including several examples of how to use Hooke’s law for reference.
Overview
Hooke’s law is a mathematical law that solves for elasticity, that is, how far a spring can be stretched. Hooke’s law states that the extension of a spring is in direct proportion with the load added to it as long as this load does not exceed the elastic limit. In a mathematical sense, this is expressed as F = -k * x, where F is the force, x is the displacement of the end of the spring, and k is the force constant.
Tags: Calculus, constant, displacement, elasticity, equilibrium, force, Hooke's law, Hookean, linear-elastic, proportion, Robert Hooke, spring
Posted in Calculus | No Comments »
Friday, September 25th, 2009
An Introduction to the Golden Ratio
Description
A detailed tutorial on the golden ratio. Step by step tutorial including several examples of the golden ratio for reference.
Overview
The golden ratio is a ratio in mathematics and the arts that is closely related to the Fibonacci numbers. It is said that two quantities are in the g0lden ratio if the ratio of the sum of the quantities to the larger number equals the ratio of the larger number to the smaller number. The algebraic expression of this is:
This equation has a unique solution, which is:
Tags: algebra, divine proportion, divine section, extreme and mean ratio, golden, golden cut, golden mean, golden number, golden proportion, golden ratio, golden section, Math, mean of Phidias, medial section, proportion, ratio
Posted in Algebra | No Comments »
