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What is measurement?
Measurement is comparing the unknown quantity with a known quantity. Measurement in simple words means the process of capturing the size and capacity of a body. Measurement results in a numeric value with some proper units. Unit is nothing but the magnitude which means the positive number is either adopted with convention or through law. Many methods and many instruments are used for measurement.
Fundamental Units:
These units are independent of other quantities. These units are standard Fundamental units are the physical quantities of SI systems, which do not rely on other units.
The following are examples of the fundamental units.
Length of an object in meter
Time in seconds
Mass in Kilogram
Current in Ampere
Temperature in Kelvin
Derived Units:
Derived units are the ones that depend on the fundamental units/quantities are called Derived units. Basically, these quantities grab the information from the Fundamental quantities.
The following are some of the examples of derived units.
Derived Units Examples:
The following table shows the Derived quantities Examples with their units.
EXPLANATION:
Area:
The area is the product of the length and breadth hence it is derived. The result is also the product of a meter.
Volume:
Volume is the thrice of the quantity. It is the product of the length, hence it is a derived quantity.
Velocity:
Velocity is the displacement traveled in a second
Velocity is the time derivative of the distance. Distance is the fundamental quantity. speed is also a derived quantity with the same dimensional formula. Both are derived quantities.
Momentum
Momentum is the derived quantity that depends on the mass and the velocity of an object. It is the motion measurement derivative.
Acceleration
Acceleration is the double-time derivative, this is the derivative of velocity. It is the vehicle or a body’s capacity to gain speed. Hence it is a derived quantity
Force
Force, on its application, changes the state of the body. It is also termed the product of the mass and acceleration of an object. Since it depends on the two quantities we can call it the derivative measurement.
Impulse
If a huge force of a moving body is applied to the static entity then it is termed as an impulse. Impulse by its formula is the product of force and time. As the impulse depends on the force it is a derived quantity
Work
Work is the total amount of energy that is transferred from one body to another bodyWork is the transferred form of energy from an object with a force and with displacement.
Energy
Energy is the ability to make a work, it is needed to make work. It is the resulting output of energy, energy has many equations which define it. Work has the same units of energy. Energy depends on the force hence it is a derived quantity
Power:
Power is the derivative of Work. It is the derived quantity that has a negative power of three-dimension in Time. Power also have multiple equations
Density:
Density is the ratio between mass and volume. Since it depends on two quantities it is the derived quantity
VARIABLE MEASUREMENTS
Variable measurement is an unknown attribute that measures a quantity and takes more than one value. These things are of statistical type variable measurements of these types. They are qualitative variables, quantitative, discrete type of variables, continuous type and dependent and independent type of variables, these six types of variables help in variable measuring for accuracy and reliability in measurement.
The above definitions have the particular units with dimensions as mentioned in the above table
Discrete and Continuous:
These are the essential parts of variable measurements in statistics. Let’s go with the continuous first, A continuous range for example has a lot of values in between them and doesn’t stop. A discrete range can end but doesn’t increase or decrease with a static limit.
Example:
These variable measurements are used in terms of sine and cosine things.
Dependent and Independent variables:
This type of variable measurement helps a lot. Dependent variable means it gets affected by the other quantity.
For example: If the work increases the power also increases hence it is linearly dependent so power is a dependent variable here
If the temperature increases the room heat increases if the temperature decreases the room becomes cool. Hence temperature is an independent variable here
Qualitative and Quantitative variables:
Variable measurement has qualitative and quantitative measurements. As the name suggests quantitative means how much and qualitative defines the quantity of the entity
Conclusion:
The introduction of variable measurement made significant changes in mathematics as well as physics. The variable measurement uses some scales, it uses interval scales, nominal scales, this type of measurement is much useful in real-life situations too. The derived units depend on other quantities and these units are similar for some of the quantities.
