A steel rod, which is free to move, has a length of 200 mm and diameter of 20 mm at a temperature of 15°C. If the rod is heated uniformly to 115°C, determine the length and the diameter of this rod to the nearest micron at the new temperature if the linear coefficient of thermal expansion of steel is 12.5 x 10 m/m/°C.

A steel rod, which is free to move, has a length of 200 mm and diameter of 20 mm at a temperature of 15°C. If the rod is heated uniformly to 115°C, determine the length and the diameter of this rod to the nearest micron at the new temperature if the linear coefficient of thermal expansion of steel is 12.5 x 10 m/m/°C.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter2: Steady Heat Conduction

Section: Chapter Questions

Problem 2.54P

See similar textbooks

Similar questions

A steel rod, which is free to move, has a length of 200 mm and a diameter of 20 mm at a temperature of 15oC. If the rod is heated uniformly to 115oC, determine the length and diameter of this rod to the nearest micron at the new temperature if the linear coefficient of thermal expansion of steel is 12.5 x 10-6 m/m/C. Is there a stress on the rod at 115oC?
A metal plate with a width of the base is located on the positive x-axis. The plate extends along the positive y-axis with infinite length. The base plate is given a temperature of T = x⁰ while the temperature of the plate on the other three sides is maintained at 0⁰. Determine the temperature of each point on the metal, T(x,y).
A square high-density polyethylene [α = 158×10–6/°C] plate has a width of 250 mm. A 150 mm diameter circular hole is located at the center of the plate. If the temperature of the plate increases by 37°C, determine:
A water tank is completely filled with liquid water at 60°C. The tank material is suchthat it can withstand tension caused by a volume expansion of 4%. Determine the maximum temperature rise allowed without jeopardizing safety. Take water coefficient of expansion (β) as 5.22 x 10-4 1/K at this temperature.
What is the rate of heat transfer, temperature gradient, and the direction of the heat transfer through a piece of Celotex 3 ft by 8 ft by 1 in. in thickness, if the temp of one surface is 80°F and of the other side is 60°F? - thermal conductivity of Celotex in AES = 0.028.
The resistance of a copper wire used to make a motor is 0.5 Ω at 25 oC and 0.8 Ω at the motor’s operating temperature. Determine the operating temperature and the rise in temperature of the motor, given that copper has a temperature constant of 234.5 oC.
The rod A has a cross sectional area 2376 mm2, modulus of elasticity 68 Gpa and thermal expansion coefficient 0.000022 1 / C . The rod B has a cross sectional area 874 mm2, modulus of elasticity 176 Gpa and thermal expansion coefficient 0.000019 1 / C . When the temperature T1=24 C a 0.5 mm gap exists between the ends of the rods. If the temperature T2=182 C. Answer the following questions:
A water tank is completely filled with liquid water at 20ºC. The tank material is such that it can withstand tension caused by a volume expansion of 0.75 percent. Determine the maximum temperature rise allowed without jeopardizing safety. For simplicity, assume the volume expansion coefficient β at 313 K to be 0.377 × 10–3 K–1. The maximum temperature rise allowed in the tank is ______ ºC.
A spherical container, with an inner radius r1= 1.4 m and an outer radius r2 = 1.45 m has its inner surface subjected to a uniform heat flux of q1= 7 kW/m2. The outer surface of the container has a temperature T2 = 25°C, and the container wall thermal conductivity is k = 1.5 W/m∙K. Determine the inner surface temperature of the container. (Round your answer to the nearest whole number.) The inner surface temperature is ____°C.
The jet plane is flying upward such that its wings make an angle of attack of 15∘∘ with the horizontal. The plane is traveling at V� = 750 m/sm/s , in air having a temperature of 8∘C∘C and absolute pressure of 95 kPakPa . The leading edge of the wing has an angle of 8∘∘. (Figure 1) Express your answer to three significant figures and include the appropriate units. Determine the temperature of the air just in front or to the right of the expansion waves. Express your answer using three significant figures.
A coil-shaped cooling pipe is made of SS-304 material. This pipe is 1 ft long, 0.4 inch outside diameter, and inch inside diameter. This coil cooling pipe is used to cool the water in the bath. The temperature of the inner coil pipe is 40oF while the outer coil in contact with water is 80oF. The thermal conductivity of SS-304 is a function of temperature where k(T) = 7.75 + (7.78 x 10-3).T where k is in Btu/h.ft.oF and T is in oF. Calculate the rate of heat dissipation in watts! (1287.7)
At a given moment in time, the temperature distribution inside an infinite homogeneous body is given by the function T(x, y, z) = x² – 2y² – xy + 2yz. Considering constant properties and no heat generation inside the body, determine the regions where the temperature varies over time