report 1... - Report of 1st Experiment Modulus of Rigidity...

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Report of 1 st Experiment Modulus of Rigidity
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Modulus of Rigidity: ► Definition of Modulus of Rigidity: Modulus of Rigidity (or Shear Modulus) is the coefficient of elasticity for a shearing force. It is defined as “The ratio of shear stress to the displacement per unit sample length (shear strain)" Modulus of Rigidity can be experimentally determined from the slope of a stress- strain curve created during tensile tests conducted on a sample of the material. ► Formula: The formula of modulus of rigidity of metallic rod is given as h = 360 × M × g × L × R л² × r 4 × (q 2 - q 1 ) ► Unit: The unit of Modulus of rigidity in C.G.S system is dyne/cm². Circumference of a Circle: ► Definition of Circumference: “The perimeter of a circle is called the circumference .” The circumference is the distance around the circle. The circumference, C , of a circle is given by the formula C = 2лr where r is the radius of the circle, and Radius: The name comes from Latin radius , meaning "ray" but also the spoke of a chariot wheel. The plural in English is radii (as in Latin), but radiuses can be used, though it rarely is.
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► Definition of Radius: “In classical geometry , a radius of a circle or sphere is any line segment from its center or axis of symmetry to its perimeter . By extension, the radius of a circle or sphere is the length of any such segment, which is half the diameter .” If the object does not have an obvious center, the term may refer to its circumradius, the radius of its circumscribed circle or circumscribed sphere . In either case, the radius may be more than half the diameter, which is usually defined as the maximum distance between any two points of the figure. The inradius of a geometric figure is usually the radius of the largest circle or sphere contained in it. The inner radius of a ring, tube or other hollow object is the radius of its cavity. ► Radius from circumference: The radius of the circle with perimeter ( circumference ) C is ► Radius from area: The radius of a circle with area A is ► Radius from three points: To compute the radius of a circle going through three points P 1 , P 2 , P 3 , the following formula can be used:
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where θ is the angle This formula uses the Sine Rule.
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