Power dimensional formula

Power can be defined as the rate of doing work or it is the work done in unit time. Standard unit of power is watt(W) which is also written as joules per second(J/s). We use terms horsepower (hp) for power of motor vehicles and other machines. One horsepower is equal to 745.7 watts. Whereas the average power is defined as total energy consumed divided by total time taken i.e total work done per unit time. In mathematical term power can be written as: Power=work/time I.e P=w/t It is totally time based, which tells us about the rate of doing work or rate of doing work. The rate of doing work, or the work done in unit time can be defined as Power.Standard unit of power is watt(W) which can also be written as’ joules per second’(J/s). Terms such as horsepower (hp) is used for power of motor vehicles and for various other machines. One horsepower is said to be equal to 745.7 watts. The average power is defined as the total energy consumed divided by the total time taken, i.e total work done per unit time. Power is written as: Power=work/time I.e P=w/t . Power is totally time based, which allows us to know about the rate of doing work . The dimensional formula of power is denoted as : M1 L2 T-3, where M stands for Mass L stands for Length T stands for Time. The Derivation can be explained as : Power (P) = Work × time-1 = Joule × second-1 . . . . . (1) Since, Work (J) = Force (M x a) × displacement = M1 L1 T-2 × [L] Therefore, the dimensional formula of work = M1 L2 T-2 . . . . (...

decibel (dB), unit for expressing the ratio between two physical quantities, usually amounts of 10 ( S 1/ S 2), where S 1 and S 2 are the intensity of the two sounds; i.e., doubling the intensity of a sound means an increase of a little more than 3 dB. In ordinary usage, specification of the intensity of a sound implies a comparison of the intensity of the sound with that of a sound just perceptible to the human 6, or 1,000,000) times more intense than a barely detectable sound, such as a faint whisper, of 1 dB. Decibels are also used more generally to express the logarithmic ratio of two magnitudes of any unit, such as two electric voltages or

Dimensions of Power Dimensional Formula of Power The dimensional formula of power is given by, M 1 L 2 T -3 Where, • M = Mass • L = Length • T = Time Derivation Power (P) = Work × time -1 = Joule × second -1 . . . . . (1) Since, Work (J) = Force (M x a) × displacement = M 1 L 1 T -2 × [L] Therefore, the 1 L 2 T -2 . . . . (2) On substituting equation (2) in equation (1) we get, Power (P) = Work × time -1 Or, P = [M 1 L 2 T -2] × [T -1] = M 1 L 2 T -3. Therefore, power is dimensionally represented as M 1 L 2 T -3. ⇒ Check Other Dimensional Formulas: • • • • •

The dimensions of any physical measurement or any quantity describe us about the composition of that measure. The dimensions of any physical quantity are just the first element we perceive whenever we look at it. In reality, our dimensions, such as length, height, and the quantity of muscle on our bodies, are likewise specified or noticed. An item’s dimension refers to how it may be measured in terms of basic variables. When we describe the dimension of a quantity, we are essentially defining its identification and presence. Everything else in the cosmos has depth, mass and volume, and hence has existence, this becomes evident. Defining the dimensions of physical quantities The values whereby the basic fundamental variables are elevated to express a parameter are described or defined as the particular quantity or parameter’s dimensions. The dimensionality of the seven basic fundamental variables or parameters is represented by parentheses. General example/syntax, The dimension of length or heights is denoted by [L], that of duration or time is denoted by [T], that of bulk or mass or we can say it as weight is denoted by [M], the electric current’s dimension is shown as [A], and that of any quantities is denoted by [mol]. Similarly, the dimension of temperature is [k], while [Cd] is the new luminosity strength dimension of light. General formation of the dimension of a physical quantity Imagine any physical quantity or variable M that is affected by some of its base quantit...

The term power of a lens signifies its capacity to bend the light (converge or diverge) that falls on it. A lens of a shorter focal length tends to bend light rays more and has more power. The lens with a longer focal length will have the opposite nature of less bending of light and less power. The light rays of a convex lens converge towards the principal axis, whereas the light rays of a concave lens diverge away from the principal axis. The nature of the lens depends upon the refracting index of the surrounding area. The SI unit is dioptre(D). Power of lens formula • The power of the lens formula can be defined as the reciprocal of its focal length. • The formula is- D =1/f Where D = it is the power in diopters. f = focal length in metres. • dioptre D or m – 1 is the SI unit of the power lens. • The power of the concave lens is negative because it is a diverging lens. • The power of the convex lens is positive because it is a converging lens. • The power of the combination of a lens can be defined when more than one lens is used together; it is called the power of the combination of the lens. Dimensional formula of power of the lens The power of the lens is the ability of the lens to deviate the parallel lights towards or away ( converge or diverge) principle axis, and mathematically it is termed the inverse of focal length. The dimensional formula of Power of Lens is written as: [M 0 L – 1 T 0 ] Where, M: Mass L: Length T: Time Derivation for the dimensional formula of...

The amount of energy carried by a wave per unit time across a unit area’s surface is referred to as intensity. It’s also the same as the sum of energy density and wave speed. We usually use watts per square metre as a unit of measurement. The strength and amplitude of a wave under propagation will determine the magnitude of intensity. The letter I stands for Intensity. Acoustic intensity is a term that is occasionally used to describe sound intensity. It is calculated as the power conveyed by sound waves per unit area in a perpendicular direction to that region. The watt per square metre is the SI unit of intensity, i.e. sound intensity. One sound’s intensity can be compared to the intensity of another sound source with the same frequency. It is possible to do so by calculating the power value ratio of these. When this ratio is ten, the difference in sound intensity is measured as one bel. The intensity of a wave is the amount of energy it conveys per unit time across a unit area of surface, and it is also equal to the energy density multiplied by the wave speed. It is typically measured in watts per square metre. The intensity of a wave is determined by its strength and amplitude. The letter I stands for intensity. The intensity formula is articulated by, Where I denotes intensity, P denotes power, and A denotes cross-sectional area. A sound wave’s intensity is determined by the rate and density of energy transfer. It is a quantifiable quantity associated with a wave. The...

Power in Physics is defined as the time rate of the amount of energy converted or transferred. In the SI system (or International System of Units), Watt (W) is the unit of Power. Watt is equal to one joule per second. In earlier studies, power is sometimes called Activity. Power is a scalar quantity. Power is a function of Work done, therefore if a person works at a variable rate depending on the time of day, his power will likewise vary. Let’s learn about Power, average power, units of power, and others in this Article. What is Power? Power is a physical quantity that is a measure of energy transfer rate. Therefore, it can be defined as the rate at which work is done with respect to time. Hence, Power is the amount of energy consumed per second. Power can also be defined as the quantity of force required to cause a unit displacement. Power is a scalar quantity and is denoted by P. For example, a bulb with a higher power or wattage, like 100 W, illuminate more light than a light bulb of 10 W. Thus, this implies that more energy is illuminated by the bulb consuming more power. The image given below depicts a man lifting a weight and showing his power. Here the power is muscular power P = W ⁄ t where, W is the Work done, t is the Time for which work is done, and P is the Power gain or loss. Hence, the above relation of Power is called the work-time equation Work done (W) by an object can be defined as the product of force and the displacement of the object, then the power fo...