Tag Archives: graphs

Predicting the weather

A  recent workshop on maths and science got me thinking about the weather forecast and how mathematics must be used in order to correctly predict the weather.

METEOROLOGY is the science that deals with the phenomena of the atmosphere, especially weather and weather conditions.

According to the met office calculations of subtle changes in the basic variables  are carried out. These include: wind speed and direction, temperature, pressure, density and humidity  this is recorded at millions of data points in our atmosphere. Seven basic equations at each data point are created which amounts to solving tens of millions of equations. Amazingly this is done in minutes because of computers capable of over one thousand billion calculations per second (a measure called petaflop), and databases hold information in multiple petabytes.

According to the Met Office ‘by combining equations describing heat and moisture with equations governing the wind and pressure, we can form a new variable called potential vorticity, or ‘PV’. Vorticity is a measure of swirling motion. PV actually helps us to identify key mechanisms that are responsible for the development, the intensity, and the motion of weather systems – including superstorms such as Hurricane Sandy – because it encapsulates over-arching physical principles that control the otherwise complicated ’cause and effect’ relationships. These principles enable us to decide what is predictable amid the detailed interactions.’

Techniques for making a forecast is to use weather maps to estimate . Things that might be estimated are: the speed of movement of air masses, fronts, and high and low pressure systems and all these things are plotted onto graphs and charts.

The ability to read temperatures and pressures is key to organising weather material.

Thermometer:   Is an instrument for measuring temperature, especially one having a graduated glass tube with a bulb containing a liquid, typically mercury or coloured alcohol, that expands and rises in the tube as the temperature increases. There will be a scale on this in positive numbers and negative numbers to represent the temperature.

Hydrometer:   Is an instrument  used for measuring the velocity or discharge of water, as in rivers, from reservoirs,from clouds to earth, etc., and called by various specific names.

So as we can se there are many mathematical concepts evident when forecasting the weather which include:

Equations
Geometry
Estimating,
Charts
Graphs
Scales

 

 

 

 

 

References 

http://www.metoffice.gov.uk/barometer/in-brief/2013-07/the-role-of-maths-in-weather-and-climate-prediction

 

Science and maths

It has become increasingly apparent over the past few weeks that science has many links to maths. We have recently had a  workshops with Neil Taylor.

First we were asked to come up with as many reasons as possible about why maths is important to science. our group did quite well, coming up with; measurement, data, statistics, temperature and scales.

We then plotted the following graphs:
y=x
y=x^2
y=1/x
y=1/x^2

The most enjoyable part of the workshop was measuring magnetic force against distance with magnets. We had our experiment set up like the picture below. The magnets were set 15 cm apart and the scales were set to zero. We used the ruler to reduce the gap 1cm at a time until the gap was 2cm. At each cm reduction we recorded the force. We plotted a graph using the data of the force against distance and found that looked most like the graph y=1/x^2.

 

Picture1

 

This is an experiment that can be easily carried out by the children in the classroom which I think they would thoroughly enjoy. The children will be able to make clear links between the links that science has to maths by doing this. The children will have to use key maths concepts such as:

  • Collecting data
  • Choosing how to present data
  • Drawing charts and graphs

By the end of the workshop the use of maths was much more evident.

In science everything is measured, time, speed, volume, capacity, density and these are only a few.

Science is the study of how the universe – and the things that exist in this universe – work. The language that is used in science is maths.

Math can help us understand what scientists discover and helps find relationships between an experiment’s hypothesis and the data that is collected.

By using statistics, scientists can use data as evidence to support or disagree with their theories. Without the use math it would be impossible to prove these theories.

Maths is used to accurately determine calculations or scientific principles.

 

 

 

 

References

http://www.kumon.com/resources/how-science-and-math-are-related/