Dimension of pressure

How to Find Dimension in Physics In dimension, we derive quantities by applying physical quantities. Understanding dimension, demands understanding the method of measurements, fundamental quantities, Dimension in physics The dimension of a physical quantity allows us to find the relationship between quantities. As we mentioned earlier, we apply Mass in form of M, Length in form of L, and Time in form of T. Additionally, units like temperature will be in form of K or θ, electric current in form of (A) which is an expression for ampere, and finally luminous intensity as (II). Table of Dimensions in Physics QUANTITY DIMENSION LT -1 LT -1 LT -2 Force MLT -2 Tensile stress ML -1T -2 Elastic Force MLT -2 Young Modulus ML -1T -2 Work done in elastic spring/string ML 2T -2 Work ML 2T -2 Work done horizontal ML 2T -2 Work done vertical ML 2T -2 ML 2T -2 Potential energy ML 2T -2 Power ML 2T -3 Projectile time of flight T Projectile maximum height L Projectile range L Moment of force ML 2T -2 Density ML -3 Upthrust MLT -2 LT -2 Centripetal force MLT -2 Linear velocity LT -1 Linear acceleration LT -2 Period T Frequency T -1 Period of simple pendulum T Momentum MLT -1 Impulse Pressure ML -1T -2 Work done by expanding gas ML 2T -2 Wavelength M Wave velocity LT -1 MLT -2 Gravitational potential L 2T -2 LT -1 Electric force MLT -2 Magnetic force MLT -2 Dimension Table in Physics You may also like to read: How to Calculate Dimensions of Physical Quantity To calculate the dimensions of a p...

\( \newcommand\) • • • • • • • • • • • • • • Learning Objectives • To be introduced to the dimensional analysis and how it can be used to aid basic chemistry problem solving. • To use dimensional analysis to identify whether an equation is set up correctly in a numerical calculation • To use dimensional analysis to facilitate the conversion of units. Dimensional analysis is amongst the most valuable tools physical scientists use. Simply put, it is the conversion between an amount in one unit to the corresponding amount in a desired unit using various conversion factors. This is valuable because certain measurements are more accurate or easier to find than others. A Macroscopic Example: Party Planning If you have every planned a party, you have used dimensional analysis. The amount of beer and munchies you will need depends on the number of people you expect. For example, if you are planning a Friday night party and expect 30 people you might estimate you need to go out and buy 120 bottles of sodas and 10 large pizza's. How did you arrive at these numbers? The following indicates the type of dimensional analysis solution to party problem: \[(30 \; \cancel\)), dimensional analysis was used to convert units (i.e. from individual sodas to the equivalent amount of six packs or cases) Using Dimensional Analysis to Convert Units Consider the conversion in Equation \(\ref \nonumber \] • While it is correct that there are 6 sodas in one six pack, the above equation yields a value o...

Learning Objectives By the end of this section, you will be able to: • State the different phases of matter • Describe the characteristics of the phases of matter at the molecular or atomic level • Distinguish between compressible and incompressible materials • Define density and its related SI units • Compare and contrast the densities of various substances • Define pressure and its related SI units • Explain the relationship between pressure and force • Calculate force given pressure and area Matter most commonly exists as a solid, liquid, or gas; these states are known as the three common phases of matter. We will look at each of these phases in detail in this section. Characteristics of Solids Solids are rigid and have specific shapes and definite volumes. The atoms or molecules in a solid are in close proximity to each other, and there is a significant force between these molecules. Solids will take a form determined by the nature of these forces between the molecules. Although true solids are not incompressible, it nevertheless requires a large force to change the shape of a solid. In some cases, the force between molecules can cause the molecules to organize into a lattice as shown in Characteristics of Fluids Liquids and gases are considered to be fluids because they yield to shearing forces, whereas solids resist them. Like solids, the molecules in a liquid are bonded to neighboring molecules, but possess many fewer of these bonds. The molecules in a liquid are no...

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Energy is the ability to do work. In other words, it is the capacity of doing work. In Physics, energy is a quantitative property that is transferred to the object by the object in order to perform work in the form of heat or any other form as per desired results. Various common forms of energy are kinetic energy, potential energy, thermal energy, elastic energy, gravitational energy, magnetic energy, radiant energy, etc. All these forms of energy are interconvertible from one form to another depending on the parameters available for these conversions. The SI unit of energy is joule and can be defined as the amount of work done to move an object by applying the force 1N to the distance of 1 metre in the same direction of applied force. An equation with dimensions is one that describes derived units in terms of fundamental units. Metric units are metre, kilogram, second, ampere, kelvin, mole, and candela, with length, mass, time, electric current, temperature, number of particles and light intensity taken as seven fundamental quantities. When an equation is written, a dimensional formula is used to determine how individual quantities relate to each other. The following example illustrates what a dimensional equation looks like. The dimensions of an area can be described by the following equation: An area is calculated by multiplying the length by the width The length multiplied with the length \[[L] * [L]\] \[ = [L]^\] Surface energy can be defined as the energy required to...

Pressure is a scalar quantity. meaning it has a magnitude, but not a direction. This may seem confusing since it's usually obvious the force has direction. It may help to consider pressure of a gas in a balloon. There is no obvious direction of the movement of particles in a gas. In fact, they move in all directions such that that the net effect appears Simple Example of Pressure A simple example of pressure may be seen by holding a knife to a piece of fruit. If you hold the flat part of the knife against the fruit, it won't cut the surface. The force is spread out of a large area (low pressure). If you turn the blade so the cutting edge is pressed into the fruit, the same force is applied over a much smaller surface area (vastly increased pressure), so the surface cuts easily. Sources • Briggs, Lyman J. (1953). "The Limiting Negative Pressure of Mercury in Pyrex Glass". Journal of Applied Physics. 24 (4): 488–490. doi:10.1063/1.1721307 • Giancoli, Douglas G. (2004). Physics: Principles with Applications. Upper Saddle River, N.J.: Pearson Education. ISBN 978-0-13-060620-4. • Imre, A. R; Maris, H. J.; Williams, P. R, eds. (2002). Liquids Under Negative Pressure (Nato Science Series II). Springer. doi:10.1007/978-94-010-0498-5. ISBN 978-1-4020-0895-5. • Knight, Randall D. (2007). "Fluid Mechanics". Physics for Scientists and Engineers: A Strategic Approach (2nd ed.). San Francisco: Pearson Addison Wesley. ISBN 978-0-321-51671-8. • McNaught, A. D.; Wilkinson, A.; Nic, M.; Jir...