A specimen of oil having an initial volume of 600 cm3 is subjected to a pressure increase of 3.6 * 106 Pa, and the volume is found to decrease by 0.45 cm3. What is the bulk modulus of the material? The compressibility?

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: The bulk modulus of polystyrene is 3.43 GPa. Calculate the hydrostatic pressure (stress) needed for…

A: Bulk modulus of polystyrene B = 3.43 GPa = 3.43×109 Pa The fractional  change in volume  is  Where…

Q: A steel wire of length 4.7 m and cross-sectional area 3.0 × 10-5 m2stretches by the same amount as a…

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Q: A brass rod 5ft long with a square cross section 0.5 inch on a side is used to support a 520-lb load…

A: B=F/AL'/L=FLL'AL'=FLBA F is the load L is the original length B is the bulk modulus A is the cross…

Q: The density of water that is at 0°C is very nearly 1000 kg/m3 (it is actually 999.84 kg/m3), whereas…

A: It is given that, ρw=ρi=1000 kg/m3ρice=ρf=917 kg/m3 Let, Vi=1 m3

Q: A specimen of oil having an initial volume of 600cm3 is subjected to a pressure increase of 3.6 x…

A:

Q: A road engineer is planning to build an overpass and wants to support a 2.1 × 10° kg load over a…

A: Given that, Length of the column is L = 5.450 m Diameter of the column is d = 73.60 cm = 0.736 m…

Q: A cylindrical specimen of some metal alloy of 8.5 mm in diameter is stressed elastically in tension.…

A: Given  T = 15700 N. D = 8.5 mm = 0.0085 m ∆D = 5.3*10-3mm

Q: The elastic limit of brass is 379 MPa. What should be the minimum diameter of a brass rod if it is…

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Q: An anchor made of cast iron of bulk modulus 60.0 × 109 PA and volume of 0.230 m3, is lowered over…

A: Given  Bulk Modulus B=60×109 Pa Change in pressure ∆P=1.75 × 106 Pa. Volume V=0.230 m3

Q: A hollow steel shaft rotates and transmits 50 hp of power at 5 Hz. What will be the shear stress in…

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Q: If the elastic limit of copper is 1.50 x 108 N/m2, determine the minimum diameter a copper wire can…

A: Given- If the elastic limit of copper is 1.50 x 108 N/m2, determine the minimum diameter a copper…

Q: Give answers in scientific notation. A sphere of copper is subjected to 120 MPa of pressure. The…

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Q: A hanging wire made of an alloy of titanium with diameter 0.45cm is initially 10m long. When a 50kg…

A: The Young's modulus is defined as the ratio of the longitudinal stress to the longitudinal strain.…

Q: Calculate the shear modulus (G) for a cylindrical steel specimen. Assuming the elastic modulus is…

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Q: How large a pressure must be applied to water if it is to be compressed by 0.1 percent? What is the…

A: The bulk modulus is

Q: A (2 m)-long steel wire in a musical instrument has a radius of (0.3 mm). When the wire is under a…

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Q: A copper wire of length 7.9 m, cross sectional area 2 x 10 m²and Young's modulus 11 x 1010 N/m has a…

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Q: Nylon strips are fused to glass plates. When moderately heated the nylon will become soft while the…

A: Given data: Observe from the diagram, Total displacement of layers D = 2 mm Height of stripe L = 5…

Q: Compute the bulk modulus of water from the following data: Initial volume = 100.0 litre, Pressure…

A: Given, P = 100 atmosphere = 100 x 1.013 x 105 Pa Final volume, V2 = 100.5 l = 100.5 ×10 –3 m3…

Q: A 215-kg load is hung on a wire of length of 3.30 m, cross-sectional area 2.000*10-5 m2, and Young's…

A: Given data: Mass (m) =215-kg Length (L) = 3.30 m cross-sectional area (A) =2.000*10-5 m2 Young's…

Q: A cubic industrial material whose one side is of length 2.0 cm has a bulk modulus of 4.7 x 10^5…

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Q: A copper wire of length 2.2m and a steel wire of length 1.6m both of diameter 3.0mm, are connected…

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Q: The pressure at a depth of 1.0 km in the Pacific Ocean exceeds by 10 mega Pascal. If a metallic…

A: Pressure difference (∆P) = 106 Pascals Volume of metallic alloy (V) = 385 cm3= 3.85×10-4 m3Bulk's…

Q: A copper sphere that is 10 cm in diameter at an atmospheric pressure of 1.01 x 10° N/m² is put into…

A: Given: The diameter of the copper sphere is 10 cm.             The atmospheric pressure is 1.01×105…

Q: A cube with edges exactly 2 cm long is made of material with a bulk modulus of 3.5 x 10 9 N/m 2.…

A: The Bulk Modulus of a system is given as

Q: A wire that is 1.0 mm in diameter and 3.5 m long stretches 3.5 mm when an 8.0-kg tool is hung from…

A: Given data diameter of wire d = 1.0 mm  Radius of wire r = 0.5 mm = 0.5 x 10-3 m Cross section area…

Q: The pressure in an explosion chamber is 345M Pa. What would be the per cent change in volume of…

A: Let P be the pressure, B be the bulk modulus of the chamber, V be the volume.Write the expression…

Q: An oil specimen has an initial volume of 597 cm³ and is subjected to 3.6 MPa pressure increase. The…

A: Initial volume V=597 cm3 Rise in volume △V=0.35 cm3 Rise in pressure △P=3.6 MPa=3.6×106 Pa To find:…

Q: A steel wire, 3.2 m long, has a diameter of 1.2 mm. The wire stretches 1.6 mm when it bears a load.…

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Q: When water freezes, it expands by about 9%. What would be the pressure increase inside your…

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Q: 1. A polycrystalline cylindrical rod 120 mm long and having a diameter of 10 mm is to be deformed…

A: Given data: The  length of rod is l=120 mm. The diameter of rod is d=10 mm. Tensile force in rod is…

Q: A square flat plate of dimensions 1 m x 1 m is moving with a maximum speed , U causing a fully…

A: The given values are, A=1 m×1 m=1 m2ρ=1.2 kg/m3υ=1.5×10-5 m2/s

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: How much would the volume of 2.86 cm3 of aluminum on Earth increase if it were placed in a vacuum…

A: Solution: As given that Volume of Aluminum V =2.86 cm3 pressure  changed = less than 10–9 Pa…

Q: A 10Kg mass is attached to one end of a copper wire 3m long and 1mm in diameter. Calculate the…

A: Let F be the force on the wire, D be its diameter, Y be the Young’s modulus.Write the expression for…

Q: A 3m long steel bar whose diameter is 25 mm is compressed by a 25 KN force. If the value of the…

A: The stress is defined as the force per unit area.

Q: A cylindrical specimen of some metal alloy of 8 mm in diameter is stressed elastically in tension. A…

A:

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

A: Let the Bulk modulus of oil is given by B. Let the change in pressure is given by ∆p. Let the change…

Q: You hang a heavy ball with a mass of 40 kg from a silver rod 2.8 m long by 2.2 mm by 2.7 mm. You…

A: The ratio of distance to time taken to travel a distance is used to calculate speed. Because it has…

Q: When water freezes, it expands by about 9.00%. What would be the pressure increase inside your…

A: Given ∆VV=0.09 Bulk modulus (B)=2.0*109 N/m2 Required ∆P=?

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).