A metallic axle with a diameter of 20mm has to be fitted into a wheel which has a circular hole at its center with diameter 18.5mm. To fit the axle into the hole, the axle is dipped into liquid nitrogen at a temperature of -200°C. Calculate the coefficient of linear expansion of the metal. Solve with complete solution.

Q: A copper telephone wire has essentially no sag between poles 36.0 m apart on a winter day when the…

A: Thermal expansion:  Δl = αlΔT, α = coefficient of linear expansion. ΔT=change in temperature…

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: 11) A brass rod is 69.5 cm long and an aluminum rod is 49.3 cm long when both rods are at an initial…

A: Formula for Linear thermal expansion is l = (coeff for linear expansion) * (temp change) * (length)…

Q: A copper bar is 1.00 m long at 20 degrees Celsius. At what temperature will it be shorter by 1.0 mm?…

A: Given Length of the copper bar is L=1.00 m Initial temperature is ti=20°C Change in length of the…

Q: The atmospheric pressure on the top of Mt. Everest is 0.333 atm and the average temperature is -25.0…

A: The ideal gas is an ideal concept where the force between the gas molecules is neglected and the…

Q: If you drink 0.5 L of extremely cold water at 4 C, how much will its volume increase (in mL) once…

A:

Q: Most cars have a coolant reservoir to catch radiator fluid that may overflow when the engine is hot.…

A: The volume of a substance in terms of its temperature can be given by

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

A:

Q: A steel rod used in construction is 120 m long when the temperature is 20oC. How long is the rod…

A: Given, at temperature T1 = 20 degree, L = 120 m  At T2 = -45 degree , L =?  And dT = -65 degree  Co…

Q: One hundred centimeters of platinum wire at 30 degrees Celsius is heated to 75 degrees Celsius. If…

A: Length of platinum wire (L) = 100 cm @30oC Length of platinum wire at 75oC = 100.0405 cm

Q: A rod having with a length of 70 cm has one of its ends rigidly connected to another rod of length 1…

A: Solution            Length of rod = 70 cm                              l1 = 70cm = 0.7mlength of…

Q: An engineer has an unknown metal rod. To determine the coefficient of thermal expansion of the…

A: The graph is plotted with L0∆T against ∆Length. From the graph, we find that (x1, y1)=(0.05, 3) and…

Q: A diving bell has an air space of 3.0 m3 when on the deck of a boat. What is the volume of the air…

A: To determine: The volume of the air space when the diving bell is lowered Given: Volume of the air…

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 plastic bar’s length is 2.756 meters (m) and its temperature is 99.00 ̊C. When it is cooled, the…

A:

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: an aluminum rod is 10cm long and a steel rod is 80cm long when both rods are at 15 degrees C. Both…

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Q: Why is the following situation impossible? A thin brass ring has an inner diameter 10.00 cm at…

A: The linear expansion be defined as, Where, Li be defined as the initial length. Lf is defined as…

Q: is 9 A. A metal sphere has a coefficient of thermal expansion of at 20 °C x 10-6 °C-1. The internal…

A: Given Data: The coefficient of thermal expansion is, α=9×10-6 °C-1. The internal diameter is, d =…

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: A metallic axle with a diameter of 20mm has to be fitted into a wheel which has a circular hole at…

A: Given: Diameter of metallic axle D= 20mm Diameter of wheel d= 18.5mm To fit the axle into the hole,…

Q: You’re heating a 2.0 m gold bar, coefficient of linear expansion 1.4 × 10–5 °C–1,raising its…

A:

Q: The outer surface of a spacecraft in space has an emissivity of 0.8 and a solar absorptivity of 0.3.…

A: emissivity (e) = 0.8 solar absorptivity (α) = 0.3Intensity (I) = 950 Wm2

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

A: Since this question has multiple parts, i am just solving the last part. Please post another part…

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: Train tracks are composed of 10 m segments of steel rails. If the temperature outside is 30°C on…

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Q: A spherical steel ball bearing has a diameter of 2.540 cm at 26.00°C. (Assume the coefficient of…

A: a) Given: Initial diameter of a spherical steel ball d0is 2.540 cm. Initial temperature of the steel…

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

A:

Q: A spherical steel ball bearing has a diameter of 2.540 cm at 26.00°C. (Assume the coefficient of…

A: (a) Given data: Initial diameter of the spherical steel bearing, D0=2.540 cm. Initial temperature…

Q: A brass rivet of diameter 1.0 cm at 30is to be slid into a hole on 1.0cm thick a aluminum plate. The…

A: From the question, it is given that- Initial diameter of brass rivet: DIR = 1.0 cm Initial diameter…

Q: A concrete swimming pool 12 m x 6 m x 2.5 m is filled with water to within 6 mm of the top when the…

A:

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: A spherical steel ball bearing has a diameter of 2.540 cm at 26.00°C. (Assume the coefficient of…

A: Diameter, d = 2.540cm Initial temperature,Ti =26c Alpha, coefficient of linear expansion = 1.1*105C…

Q: 2. A square metal plate, each side 100cm long at 0°C, has a circular hole of diameter 40cm in the…

A: In thermal expansion a metal plate on heating expands. Change in the length due to thermal expansion…

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: The Stanford linear accelerator contains hundreds of brass disks tightly fitted into a steel tube…

A: Given data: Coefficient of linear expansion of brass, α=2×10-5 /C0 Diameter of the disk, D1=80 mm…

Q: You’re heating a 1.5 m copper bar, coefficient of linear expansion 1.7 ×10–5 °C–1, raising its…

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

A:

Q: When the temperature of a coin is raised by 82 °F, the coin's diameter increases by 2.20 x 10-5 m.…

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: Two rods, one made of brass and the other made of copper, are joined end to end. The length of the…

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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: The pipe 8 m long has an inner radius of 70 mm, an outer radius of 80 mm, and is made of stainless…

A: The area of the pipe is, A=πRo2-Ri2=3.1480×10-3 m2-70×10-3 m2=0.00471 m2