Physical Quantities
Understanding Physical Quantities
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A Physical Quantity is any measurable quantity that can be described using mathematical operations.
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There are two types of physical quantities: scalar quantities and vector quantities.
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Scalar quantities have only magnitude, while vector quantities have both magnitude and direction.
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Scalar quantities include mass, temperature, speed, energy, work, and power.
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Vector quantities include displacement, velocity, force, and acceleration.
Base Quantities
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There are seven base quantities in physics: Length (metre, m), Mass (kilogram, kg), Time (second, s), Electric Current (ampere, A), Thermodynamic Temperature (kelvin, K), Amount of Substance (mole, mol), and Luminous Intensity (candela, cd).
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The units of these base quantities are called the base units. All other physical quantities are derived from these base units.
Derived Quantities
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A derived quantity can be defined in terms of the base quantities. Examples include area, volume, speed, acceleration, force, energy, and power.
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These quantities have derived units, which are combinations of the base units. For example, speed (a derived quantity) has a unit of m/s (a derived unit).
Units and Measurement
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In physics, it’s essential to use a consistent set of units for measurements. This allows for accurate calculations and comparisons.
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The International System of Units (SI) is the universally accepted system of measurement in science. It is based on the seven base units and derived units.
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Some units are derived from named quantities, like the Newton (force), Pascal (pressure), Watt (power), and so on.
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It's also imperative to understand the conversion between different units. For example, 1km = 1000m.
Errors in Measurements
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Measurements are not always perfect and may have errors. Error is the discrepancy between the measured value and the true value.
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There are random errors and systematic errors. Random errors vary unpredictably from measurement to measurement, while systematic errors are consistent, repeatable errors.
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It's important to identify the sources of error and mitigate them as much as possible to obtain more accurate results.
Using Prefixes for Units
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In physics, prefixes are commonly used with units to change their order of magnitude. For example, kilo (k) means 1000, mega (M) means a million, and milli (m) means thousandth.
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Understanding the prefixes and their respective multipliers is crucial for converting between different units.
Dimensional Analysis
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Dimensional analysis is a method used to check the validity of an equation. It involves comparing the dimensions of the physical quantities on each side of the equation.
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It's also useful to derive the units of a physical quantity in a given equation. For example, the dimensional formula for speed is [M^0 L^1 T^-1].