![]() ![]() Therefore, Kinematic viscosity is the measurement of the inherent resistance of a fluid to flow when no external force is imparted except gravity. This is the ratio of the dynamic viscosity to its density, i.e. Kinematic viscosity can be computed by dividing the absolute viscosity of a fluid with the fluid mass density. Formula for Kinematic ViscosityĪs we know that it is the ratio of dynamic viscosity to fluid mass density. Therefore, the density of fluid is 0.445 kg per cubic m.Dimensions of the physical quantity are the power to which the base quantities are raised to represent that quantity. Imagine a physical quantity X which depends mainly on base mass(m), length(L), and time(T) with their respective powers, then we can represent dimensional formula as Finding dimensions of different physical quantities has many real-life applications and is helpful in finding units and measurements.ĭimensions of any given quantity tell us about how and which way different physical quantities are related. The dimensional formula of any physical quantity is that expression which represents how and which of the base quantities are included in that quantity. It is written by enclosing the symbols for base quantities with appropriate power in square brackets i.e ( ). To convert a physical quantity from one system of the unit to the other: The equation obtained by equating a physical quantity with its dimensional formula is called a dimensional equation.ġ. To check dimensional correctness of a given physical relation: It is based on a fact that magnitude of a physical quantity remain same whatever system is used for measurement i.e magnitude = numeric value(n) multiplied by unit (u) = constantĢ. If in a given relation, the terms of both sides have the same dimensions, then the equation is dimensionally correct. To derive a relationship between different physical quantities: This concept is best known as the principle of homogeneity of dimensions.ģ. Using the principle of homogeneity of dimension, the new relation among physical quantities can be derived if the dependent quantities are known. ![]() This method can be used only if dependency is of multiplication type. The formula containing exponential, trigonometric, and logarithmic functions can not be derived using this method. The formula containing more than one term, which is added or subtracted likes s = ut+ ½ at 2 also cannot be derived. The relation derived from this method gives no information about the dimensionless constants. Viscosity: Viscosity is the property of the fluid ( liquid or gas ) by virtue of which it opposes the relative motion between its adjacent layers. It is the fluid friction or internal friction. The internal tangential force which tries to retard the relative motion between the layers is called viscous force. It acts tangentially in a direction opposite to that of motion. ![]()
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