What is a modulus in math?
The modulo (or “modulus” or “mod”) is the remainder after dividing one number by another. Example: 100 mod 9 equals 1. Because 100/9 = 11 with a remainder of 1.
How do you calculate modulo 10?
The modulo 10 is calculated from this sum. First the sum is divided by 10. The remainder of the division is subtracted from 10 (calculate the difference to 10). The result of this subtraction is the checksum/check digit.
How do you find the modulus of a large number?
Given a big number ‘num’ represented as string and an integer x, find value of “num % x” or “num mod x”. Output is expected as an integer. The idea is to process all digits one by one and use the property that xy (mod a) ≡ ((x (mod a) * y) (mod a)).
What is modulus of resilience formula?
The modulus of resilience is the amount of strain energy per unit volume (i.e. strain energy density) that a material can absorb without permanent deformation resulting. The modulus of resilience is calculated as the area under the stress-strain curve up to the elastic limit.
What is the symbol for Poisson’s ratio?
In the literature the Greek letter ν is commonly used as the symbol for the Poisson’s ratio.
What is Poisson’s ratio unit?
Poisson’s ratio is defined as the ratio of the change in the width per unit width of a material, to the change in its length per unit length, as a result of strain.
What is unit of modulus of rigidity?
The modulus of rigidity is measured using the SI unit pascal or Pa. Commonly it is expressed in terms of GigaPascal (GPa). Alternatively, it is also expressed in pounds per square inch(PSI).
What is Youngs modulus units?
Young’s modulus = stress/strain = (FL0)/A(Ln − L0). The units of Young’s modulus in the English system are pounds per square inch (psi), and in the metric system newtons per square metre (N/m2).
What is Young’s modulus explain?
The Young’s Modulus of a material is a fundamental property of every material that cannot be changed. It is dependent upon temperature and pressure however. The Young’s Modulus (or Elastic Modulus) is in essence the stiffness of a material. In other words, it is how easily it is bended or stretched.
What is the unit for stress?
Stress has units of force per area: N/m2 (SI) or lb/in2 (US). The SI units are commonly referred to as Pascals, abbreviated Pa.
What is Hooke’s law for stress and strain?
Hooke’s law states that the strain of the material is proportional to the applied stress within the elastic limit of that material. When the elastic materials are stretched, the atoms and molecules deform until stress is been applied and when the stress is removed they return to their initial state.
How is Hooke’s Law calculated?
Hooke’s law, F = kx, where the applied force F equals a constant k times the displacement or change in length x.