Measurements and Mathematics Terms

(mathematics is the deductive study of quantities, magnitudes, and shapes as determined by the use of numbers and symbols while every branch of science and engineering depends on mathematics; measurement is the process of associating numbers with physical quantities and phenomena and measurement is fundamental to the sciences; to engineering, construction, and other technical fields; and to almost all everyday activities)

transducer
An instrument that converts the physical stimulus to be measured; such as, temperature, vibration, or pressure, into an electrical signal and therefor operates as the actual measuring instrument.

Transducers can take many forms and they can be self-generating or externally energized.

An example of the self-generating type is a vibration sensor based on the use of a piezoelectric material; that is, one that produces an electrical signal when it is mechanically deformed.

Many externally energized transducers operate by producing an electrical signal in response to mechanical deformation. Typical physical inputs producing such deformations are pressure, mechanical stress, and acceleration.

A simple mechanical transducer-sensing device is a strain gauge based on the change in electrical resistance of a wire or a semiconductor material under strain. Another externally energized transducer, called the variable-reluctance type, is one in which the magnetic circuit is broken by an air gap.

The mechanical movement to be measured is used to change this air gap and so it changes the reluctance, or opposition, to the production of a magnetic field in the circuit. The change in reluctance is then translated into an electrical signal.

—Compiled from information located at
Encyclopedia Britannica on line.
triangle
A three-sided figure that can take several shapes.

In general, it has three inside angles, which add up to 180 degrees. Triangles are divided into three basic types: obtuse, right, and acute; triangles named by the characteristics of their sides are equilateral (all sides or faces equal), isosceles (two sides of equal length), and scalene (three sides of different lengths).

troy weight
A system of weights used to measure precious metals; such as, gold, silver, platinum, etc.
undecagon
A polygon (multiple angles) having eleven sides.
unit
A standard measurement; for example, the standard unit of inches is used to measure length in the U.S. Conventional System and centimeters and meters are used in most of the other countries.
vector
A quantity, drawn as an arrow, with both direction and magnitude; for example, force and velocity are vectors.

If a quantity has magnitude, but not direction, it is called a scalar. Temperature, length, and mass are examples of scalars.

velocity
Speed in a certain direction or the rate of change of the position of an object.

For motion in one dimension, such as along the number line, velocity is a scalar and for motion in two dimensions or through three-dimensional space, velocity is a vector.

volume
The amount of space an object occupies or the capacity of an object.

It is often expressed as cubic, as in cubic inches or cubic centimeters.

weight
A measure that indicates how heavy something is.
weights and measures
Units and standards for expressing the amount of some quantity; such as, length, capacity, or weight.

The science of measurement standards and methods is known as metrology.

Today the chief systems are the English units of measurement and the metric system

The United States is one of the few countries still using the English system; all other major nations have either converted to the metric system or committed themselves to conversion.

The English system is much older and is said to be less practical than the metric system, and in the United States there has been considerable discussion in favor of adopting the metric system as the principal system; however, attempts to legislate such a change in the U.S. Congress have failed.

The basic units of the English system, the yard of length and the pound of mass, are now defined in terms of the metric standards, the meter of length and the kilogram of mass.

whole number
A number which doesn't contain a fraction.

A whole number is an integer which has one or more units and can be positive or negative.

X
The roman numeral for 10.
x
A symbol most often used to represent an unknown quantity in an equation.
yard
A unit of measure which is approximately 91.5 centimeters or three feet.
zero
The number which indicates no quantity, size, or magnitude.

Zero is neither negative nor positive.

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