A brass ring of diameter 10.00 cm at 20.0°C is heated and slipped over an aluminum rod of diameter 10.01 cm at 20.0°C. Assuming the average coefficients of linear expansion are constant, (a) to what temperature must the combination be cooled to separate the two metals? Is that temperature attainable? (b) What if the aluminum rod were 10.02 cm in diameter?

Q: A circular copper ring at 24.0°C has a hole with an area of 9.95 cm2. What minimum temperature must…

A: * The copper will slip on the steel rod. The expression for changing area can be written as

Q: The height of the Washington Monument is measured to be 170 m on a day when the temperature is 35oC.…

A: The change in temperature is, ∆T=Tf-Ti∆T=-10.0°C-35.0°C∆T=-45.0°C

Q: A cylinder of diameter 1.0 cm at 300C is to be slide into a hole on a steel plate. The hole has a…

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Q: Suppose due to a bad break of your femur, you require the insertion of a titanium rod to help the…

A: Given data:  Coefficient of linear expansion (α) = 8.60×10-6 K-1 = 8.60×10-6 °C-1 Initial…

Q: An aluminum wing on a passenger jet is 35 m long when its temperature is 24°C. At what temperature…

A: The equation of linear thermal expansion of an aluminum wing is given by, Here, ΔL, Lo, α and ΔT…

Q: A steel sphere with radius 1.0010 cm at 38.0°C must slip through a brass ring that has an internal…

A: Solution: Given: r1 = radius of steel sphere = 1.0010 cm r2 = radius of brass ring = 1.0000 cm t1 =…

Q: Most automobiles have a coolant reservoir to catch radiator fluid that may overflow when the engine…

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Q: A steel sphere of diameter 4.0025 cm is to be passed through a brass loop of inner. diameter 4.0012…

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Q: Consider a steel girder, such as the kind that forms the skeleton of a skyscraper, at a temperature…

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Q: uppose due to a bad break of your femur, you require the insertion of a titanium rod to help the…

A: Given data The coefficient of linear expansion for titanium is given as α = 8.60 × 10−6 K−1. The…

Q: A brass rod of length 50 cm and diameter 3.0 mm is joined to a steel rod of the same length and…

A: Given,

Q: A metal rod 50.0 cm long at 25.0 degrees C is heated to 75.0 degrees C the length of the rod is then…

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Q: A steel bridge, considered as a 1D object, is 800 m long at room temperature (25 ̊C). If the coldest…

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Q: A spherical steel ball bearing has a diameter of 2.540 cm at 20.00°C. (Assume the coefficient of…

A: A. Since the temperature is raised, therefore the expansion in the ball bearing will be a volumetric…

Q: Two concrete spans of a 180 m long bridge are placed end to end so that no room is allowed for…

A: Given: Length of bridge = 180mLength of one span Li=90mincrease in temperature ∆T = 20°Cα = 1.2*10-5…

Q: A steel bridge is built in the summer when its temperature is 35°C. At the time of construction, its…

A: The linear expansion of the bridge ∆l=liα∆Tlf-li=liαTi-Tflf=liαTi-Tf+li   =80.00 m1.2×10-5…

Q: At 10°C the inside diameter of the aluminum ring is 4.00cm and the diameter of the steel rod is…

A: The ring must be heated For simplicity let us assume that the rings cut and unrolled then it would…

Q: The outer diameter of a glass jar and the inner diameter of its iron lid are both 760 mmmm at room…

A:

Q: A block of ice is kept pressed against one end of a circular copper bar of diameter 2 cm, length 20…

A:

Q: A bridge is made with segments of concrete 50 m long. If the linear expansion coefficient is 12 x…

A: Given data:  Original Length (L0) = 50 m Coefficient of linear expansion (α) = 12×10-6 °C-1 The…

Q: The height of the Washington Monument is measured to be 170 m on a day when the temperature is…

A: The thermal coefficient of the monument or marble is, α=2.5×10-6 /°C The initial height of the…

Q: A spherical infrared heater of radius 5.85 cm and an emissivity of 0.71 radiates 0.44 kW of power.…

A: Given  Radius r=5.85*10-2m emmisivity e=0.71 power P=0.44*103W Stefan's constant σ=5.67x10-8 Wm-2K-4…

Q: A steel bridge is 1000 m long at -20°C in winter. What is the change in length when the temperature…

A: L= length = 1000 m T = Temperature difference = 40 - [-20] = 60 = coefficient of thermal expansion…

Q: 2. (a) A wire that is 1.50m long 20°C is found to increase its length by 1.9cm when warmed to 420⁰…

A: Given: The initial length of the wire is 1.5 m. The initial temperature is 20oC. The increment in…

Q: 2) A steel bridge is 1000 m long at -20°C in winter. What is the change in length when the…

A: The change in length of a material with change in temperature is given by, ∆L = L α ∆T  Where, ∆L =…

Q: A brass ring of diameter 10.00 cm at 22.3°C is heated and slipped over an aluminum rod of diameter…

A: Given Data: The diameter of brass ring is, db = 10 cm. The diameter of aluminium rod is, da = 10.01…

Q: Metal rod A is 30.0 cm long and expands by 0.0650 cm when its temperature is raised from 0.00°C…

A:

Q: A Cooper telephone wire has essentially no sag between poles 68m apart on winter day when the…

A:

Q: An aluminum rod is 20.8 cm long at 20°C and has a mass of 350 g. If 10,000 J of energy is added to…

A: Consider the linear expansion equation, ∆L=αL0∆T          (I)                ∆T=change in…

Q: A steel ring with a hole having area of 7.970 cm2 is to be placed on an aluminum rod with…

A: Given : Area of steel (As) = 7.970 cm2 Area of aluminium (Aal) = 8.000 cm2 Initial temperature (To)…

Q: A circular steel casting (coefficient of linear expansion 1.24 x 105 per degree Celsius) has a gap…

A: Coefficient of linear expansion (a)= 1.25× 10-5 /°C  Initial gap = 1.600 cm at 30.0 °C  Final…

Q: Consider a steel girder, such as the kind that forms the skeleton of a skyscraper, at a temperature…

A: Initial temperature (t) = 30.7o C Let initial length = L Final length = L - 0.109% of L = 0.99891 L…

Q: A brass rod is 40.1 cm long and an aluminum rod is 79.3 cm long when both rods are at an…

A: The length of the brass rod Lb=40.1 cm=0.401 m The length of the aluminium rod La=79.3 cm=0.793 cm…

Q: Thank u! A steel sphere with radius 1.0010 cm at 34.0°C must slip through a brass ring that has an…

A: Using  thermal expansion formula find the temperature for the  brass to be heated  L=Lo1+α∆T Where,…

Q: A steel beam is used in the construction of a skyscraper. By what fraction ΔL/L0 does the length of…

A: Temperature on a cold winter day, T1=4.20C Temperature on a summer day, T2=25.70C Linear expansion…

Q: If you have 0.251 m³ of water at 25.0 °C in an insulated container and add 0.112 m³ of water at 95.0…

A:

Q: Given that a homogenous material will have the same expansivity properties in every direction. Hence…

A: Given data: The radius of sphere is r=0.9535 m. The rise in temperature is ∆T=200°C. The linear…

Q: An iron rod and a zinc rod have lengths of 25.55 cm and 25.50 cm, respectively, at 0°C. At what…

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Q: A rod made of glass has a circular cross section with a diameter of 0.1200 m at a temperature of 20…

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Q: A spherical steel ball bearing has a diameter of 2.540 cm at 21.00°C. (Assume the coefficient of…

A: The diameter of the spherical steel ball at 21°C,

Q: A copper rod is 2.93 m in length at 20.0 °C.  What is the length of the rod if the temperature is…

A:

Q: A pair of eyeglass frames is made of epoxy plastic. At room temperature (20.0°C), the frames have…

A: Equation for linear expansion is,

Q: A brass rod has a circular cross-section of radius 5.00 cm. The rod enters a circular hole in a…

A: Radius of the brass rod r=5 cm Diameter of the brass rod d=10 cm Diameter of copper hole D=d+0.010…

Q: A copper washer is to be fit in place over a steel bolt. Both pieces of metal are at 38.0°C. If the…

A:

Q: A spherical steel ball bearing has a diameter of 2.540 cm at 22.00°C. (Assume the coefficient of…

A: a) Given: Initial diameter of steel ball bearing d0is 2.540 cm. Initial temperature Ti is 22.0°C…

Q: Part A -120.0 cm → brass aluminum 73 cm 46.0 cm A brass rod is 73 cm long and an aluminum rod is…

A: Write the expression for the change in length of the rod of brass as follows.…

Q: A bridge 159.0 m long is built of steel having a coefficient of expansion of 11.3 × 10-6/K. If it is…

A: Given : Length of a bridge (L) = 159 m Coefficient of expansion (α) = 11.3 × 10-6/K Initial…