What is Dimensional Formula of Young Modulus and its Derivation?, How to Determine the Dimension and Magnitude of Young’s Modulus …
How to Determine the Dimension and Magnitude of Young’s Modulus …
Dimensional Formula of Modulus of Elasticity and its Derivation, Dimensional Formula of Young Modulus. The dimensional formula of Young Modulus is given by, [M 1 L-1 T-2] Where, M = Mass; L = Length; T = Time; Derivation. Young’s Modulus (Y) = Linear Stress × [Linear Strain]-1. . . . . (1) Since, linear stress = Force × Area-1. . . . ..
10/8/2020 · Young’s Modulus is Force per unit Area Force is Mass multiplied by Acceleration Acceleration is Length divided by Time ^2 (or [L][T]^-2) So we get: [M][L][T]^-2 (Force) and [L]^-2 (divided by Area) that is: [M][L][T]^-2 [L]^-2 The [L] and the [L]^-2.
Young’s modulusY = strainstress Dimension of Y = M 0L0T 0M L?1T ?2 = [M L?1T ?2], A modulus of elasticity of the wire, called Young’s modulus (E), is defined as the ratio It should be noted that Young’s modulus, E, is calculated from the ratio stress : strain only when the wire is under ‘elastic’ conditions, that is, the load does not then exceed the elastic limit. Dimensions of Young’s Modulus, Yes, you are correct. Strain is dimensionless (it is one length divided by another) so the dimensions of Young’s modulus are the same as the dimensions of stress, which is a force divided by an area.
The modulus of elasticity (a.k.a. Young’s Modulus), E, has dimensions of ML^-1T^-2. It is usually expressed in Pascals (kg/ms^2 or N/m^2). E is stress/strain, which is stress or pressure (Pa) / strain (dimensionless), so E is in units of stress or pressure. Pressure is also.
Determine the dimensional form of Young ‘s modulus given that: E= STRESS/STRAIN Any help would be great! Press J to jump to the feed. Press question mark to learn the rest of the keyboard shortcuts, 3/16/2013 · Use the method of dimensional analysis to find young ‘s modulus ? Answer Save. 3 Answers. Relevance. JullyWum. Lv 7. 8 years ago. Favorite Answer. By definition .. Young modulus (E) = stress / strain. Using .. [] = fundamental units, mass M, length L and time T • Strain (e/L?) is dimensionless (numerical value only) .. [L]/[L], 6/14/2018 · Question 2 : Give two drawbacks of dimensional analysis . Answers : The drawbacks of dimensional analysis are given as. … energy and young’s modulus (d) light year and frequency [IIT 1996] Answer: (a) torque and work . Explanation: torque=force *perpendicular distance .
