how can I derive formula to find the original volume, given the bulk modulus, change in volume and bulk stress?

Q: The pressure on a volume of liquid V= 1.6 m3 at the surface is approximately equal to the…

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Q: In the linear region of the Strain vs. Stress diagram is called Elastic Modulus * O True False

A: False The linear region is not Elastic modulus

Q: A 19 -L volume of oil is subjected to pressure which produces a volume strain of 1.3 x L0-4. The…

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Q: Consider the effect of wires hung on poles in which the left wire made an angle 29° below the…

A: Given, Tension=114N

Q: Compute the pressure in Nm2 required to compress a given volume of water V, to 99 percent of its…

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Q: Consider a rod, when applied with a certain force, reverts to its original form. With stress given…

A: Given data: Stress (σ) = 3.0 GPa Strain (ε) = 0.230 Required: Young’s modulus (Y)

Q: Young's modulus of iron rod is 21 × 1010 N/m2. A force of 7.0 × 105 N is applied to a 1.5-m length…

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Q: In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is…

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Q: Humans can bite with a force of approximately 796 N. If a human tooth has the Young's modulus of…

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Q: 1. A hydraulic press contains 0.25 m³ of oil. Find the decrease in the volume of the oil when it is…

A: We are allowed to give the explanation of first question only which is given below.  Please repost…

Q: Which one of the following cannot be a definition of an elastic modulus? (A) AP -V; AV Fh B AAx FLi…

A: In the given question, We have to choose the correct option, i.e, which can not be a defination of…

Q: The bulk modulus of a material is 7.24 x 1011 N/m². What fractional change in volume does a piece of…

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Q: An aluminum specimen 15 in long and in in diameter is subjected to tensile stress. The new length of…

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Q: (b) When measuring Young's modulus of a material it is common to use a specimen which is (1) very…

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Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: A  force applied tangentially to the face of a body is called shear stress (F/A). The deformation…

Q: Two parallel and opposing forces of each value (4000N) act tangentially on opposite sides of a cube…

A: Given: Force F=4000 N Side length  L=25 cm=25×10-2 m Shear modulus  S=80 GPa=80×109 Pa

Q: A square steel plate is 10.0 cm on a side and 0.500 cm thick. (a) find the shear strain that results…

A: (a) Find the shear strain applied to each of the four sides of the square steel plate.…

Q: A wire of uniform cross sectional area of 0.25 mm2 is stretched at both ends by a total force of 65…

A: Given data The cross-sectional area is given as Ac = 0.25 mm2. The total force at both ends is…

Q: 2. The area of the upper face of a rectangular block is 0.5m x 0.5 m and the lower face is fixed.…

A: Given: The area of the upper surface is A=0.5 m×0.5 m=0.25 m2 The height of the block is h=1…

Q: the young modulus of a 6 m rod is 186GPa. THe area of cross section of rod is 0.75 x 10^-4  m^2.…

A: Given,

Q: A wire of uniform cross sectional area of 0.15 mm2 is stretched at both ends by a total force of 40…

A: Given, Area of cross section of the wire A = 0.15 mm2 Total force acting on the both end F = 40 N…

Q: A force of 25ON is applied to a steel wire of length 1.5m and diameter 0.60 mm. Calculate the…

A: Given Force F = 250 N Length L = 1.5 m Diameter = 0.6 mm Radius r = 0.6/2 = 0.3 mm = 0.3 × 10-3 m

Q: A water balloon's radius is reduced by one fourth due to pressure. What is the pressure on the…

A: Given:-  The radius of the water balloons is reduced by one-fourth due  to the pressure  The bulk…

Q: The Young modulus of steel is determined using a length of steel wire and is found to have the value…

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Q: a metal rod with length 2 m and cross sectional area of 0.002 m2 has a youngs modulus of 20x10^10Pa.…

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Q: A solid copper cube has an edge length of 89.9 cm. How much stress must be applied to the cube to…

A: The ratio of volumetric stress with volumetric strain is defined as the bulk modulus. To solve the…

Q: The cross-sectional area of each member of the truss is 42 cm². B D 100 kN 300 kN Determine the…

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Q: Problem 12:   Consider the effect of wires hung on poles in which the left wire made an angle 29°…

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Q: te=120 (2) 457 tレ Oa = 60 the figure (0,c=0), find the principal Q-For the plane stress case shown…

A: Given : A plane stress case.

Q: Below are the stress-strain graphs of 3 different materials. Which of these materials has the…

A: Given, Graph between stress and strain as we know that from hooks law that young…

Q: A copper wire of length 23.179 is designed to withstand a maximum tension of 657 N and 0.627%…

A: Given  Length of copper wire  L = 23.179 m Tension  T = 657 N Strain  ∆L/L × 100 = 0.627 %  ∆L/L =…

Q: Consider two steel rods, A and B. B has three times the area and twice the length of A, so Young's…

A: We know that Young's modulus is property of matter and not depend on size . Here, both rods are made…

Q: The bulk modulus of a material is 5.62 × 1011 N/m2. What fractional change in volume does a piece of…

A: bulk modulus of a material is 5.62 × 1011 N/m2. What fractional change in volume does a piece of…

Q: Which of the following is a dimensionless quantity? Select one: a. Shear stress b. Poison's ratio c.…

A: As we dimensionless quantity are those which have no dimensions i.e   M0 L0 T0

Q: Find the density of seawater at a depth where the pressure is 460 atm if the density at the surface…

A: Pressure , P = 460 atm  Density , ρ= 1100 kg/m3  Bulk modulus , B = 2.3 x 109  To find =density at…

Q: Normal forces of magnitude 3.0 x 10° N are applied uniformly to a spherical surface enclosing a…

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other questions…

Q: A 3.5 cm cube of unknown metal has a shear modulus of 5.0x 10°N/m ? absorbed a force of 0.40 N.…

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Q: A square slab of a concreate road with thickness of 0.2m and 1.0m long experiences shear strain…

A: We have a square slab of thickness x=0.2 m and length y=1 m which is displaced by a distance…

Q: Humans can bite with a force of approximately 808 N. If a human tooth has the Young's modulus of…

A: Using the equation for Young's Modulus, Y=FLA∆L∆L=FLAY

Q: A 469 kg load is hung on a wire of length 6 m, cross- sectional area 0.200 x 10¬ 4 m², and Young's…

A: Given : m = 469 kg L = 6 m A = 0.200 × 10-4 m2 Y = 8 × 1010 N/m2

Q: Young's modulus of nylon is 3.7 × 109 N/m2. A force of 6.0 × 105 N is applied to a 1.5-m length of…

A: Given data: The Young's modulus of nylon is E=3.7×109 N/m2. The force applied is F=6.0×105 N. The…

Q: One end of a copper rod with a diameter of 20 mm and a length of 0.95 m is held in a vise. A force…

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Q: When a certain liquid freezes, it expands about 10.0%. What would be the pressure increase inside an…

A: Bulk modulus is relative change in volume of a body produced by compressive or tensile stress. And…

Q: A solid copper cube has an edge length of 85.3 cm. Ho w much st The bulk modulus of copper is 1.4x…

A: givenLi=85.3 cmLf=85 cmK=1.4×1011 N/m2

Q: Consider a rod, when applied with a certain force, reverts to its original form. With stress given…

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Q: A solid copper cube has an edge length of 87.9 cm. How much stress must be applied to the cube to…

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Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).