To what temperature (in °C) must a cylindrical rod of one metal 10.045 mm in diameter...

To what temperature (in °C) must a cylindrical rod of one metal 10.045 mm in diameter and a plate of second metal having a circular hole 9.990 mm in diameter have to be heated for the rod to just fit into the hole? Assume that the initial temperature is 25°C and that the linear expansion coefficient values for metals one and two are 4.9 x 10^-6 (°C)^-1 and 17 x 10^-6 (°C)^-1, respectively.

Solutions

Expert Solution

Hello!!

The answer is given below.

Ally Wells answered 1 year ago

Next > < Previous

Related Solutions

A cylindrical specimen of some metal alloy 8.6 mm in diameter is stressed in tension. A...

A cylindrical specimen of some metal alloy 8.6 mm in diameter is stressed in tension. A force of 9070 N produces an elastic reduction in specimen diameter of 0.0048 mm. Calculate the elastic modulus (in GPa) of this material if its Poisson's ratio is 0.33.

A metal rod at 38°C is placed in a room at a constant temperature of 0°C....

A metal rod at 38°C is placed in a room at a constant temperature of 0°C. (a) If after 20 minutes the temperature of the rod is 20°C, find the temperature function T(t) that models the temperature T of the rod at time t. Assume Newton's Law of Cooling. Note: You must state the differential equation that models this situation and include how to solve this DE as part of your solution. (b)Determine the time it will take for the...

A 1.60 m cylindrical rod of diameter 0.550 cm is connected to a power supply that...

A 1.60 m cylindrical rod of diameter 0.550 cm is connected to a power supply that maintains a constant potential difference of 17.0 V across its ends, while an ammeter measures the current through it. You observe that at room temperature (20.0 ∘ C ) the ammeter reads 18.8 A , while at 92.0 ∘C it reads 17.3 A . You can ignore any thermal expansion of the rod. Part A Find the resistivity and for the material of the...

A brass rod 25.00 mm long and 5.00 mm in diameter extends horizontally from a casting...

A brass rod 25.00 mm long and 5.00 mm in diameter extends horizontally from a casting at 200°C. The rod is in an air environment with T∞ =20°C and h=30 W/m2·K. What is the temperature of the rod 6.25, 12.50, and 25.00 mm from the casting?

A brass rod 150.00 mm long and 5.00 mm in diameter extends horizontally from a casting...

A brass rod 150.00 mm long and 5.00 mm in diameter extends horizontally from a casting at 200°C. The rod is in an air environment with T∞ =20°C and h=30 W/m2·K. What is the temperature of the rod 37.50, 75.00, and 150.00 mm from the casting?

A spring is to be designed to fit over a valve rod of 15 mm diameter...

A spring is to be designed to fit over a valve rod of 15 mm diameter as shown in figure Q2. The forces acting on the spring while closing and opening of the valve are F1 and F2 respectively. Using the data given table Q2 and assuming that spring has squared and ground ends, Determine: (i) Wire diameter of spring (ii) Outside diameter of spring (iii) Number of turns (iv) Stiffness of spring (v) Free length (vi)...

A long cylindrical rod of 100 mm radius consists of a nuclear material (k = 0.5...

A long cylindrical rod of 100 mm radius consists of a nuclear material (k = 0.5 W/m-K) generating 24 kW/m3 uniformly throughout its volume. The rod is enclosed within a tube having an outer radius of 200 mm and a thermal conductivity of 4 W/m-K. The outer surface is exposed to a convection environment at 100 C with a convective heat transfer coefficient of 20 W/m2-k. a) Calculate the heat rate per unit length being convected away from the rod....

A long cylindrical rod of 100 mm radius consists of a nuclear material (k = 0.5...

Consider cylindrical shape rod of silicon with circular cross-section (resistivity of 3345 , the diameter of...

Consider cylindrical shape rod of silicon with circular cross-section (resistivity of 3345 , the diameter of 2.53 cm and length of 32.7 cm). Consider a voltage of 1.25*103 V is applied. The temperature coefficient of silicon is -0.005 0C-1 (negative because Silicon is a semiconductor). (a) Find the resistance of this rod at room temperature? (2 points) (b) Find the electric field inside the silicon rod? (3 points) (c) Find the energy dissipations in 3 min? (2 points) (d) If...

Exercise 25.11 A 1.70 m cylindrical rod of diameter 0.550 cm is connected to a power...

Exercise 25.11 A 1.70 m cylindrical rod of diameter 0.550 cm is connected to a power supply that maintains a constant potential difference of 17.0 V across its ends, while an ammeter measures the current through it. You observe that at room temperature (20.0 ∘C) the ammeter reads 18.2 A , while at 92.0 ∘C it reads 17.4 A . You can ignore any thermal expansion of the rod. Part B Find the temperature coefficient of resistivity at 20 ∘C...

Subjects