an aluminum cylinder 10 cm long , with a cross-sectional area of 20 cm² , is to be used as a spacer between two steel walls . At 25 °C it just slips in between the valls. Then it warms to 77 °C. Calculate the total force (in kN) it exerts on each wall, assuming that the walls are perfectly rigid and a constant distance apart. (Y = 1011 0.70 x Pa and aAl = 2.4 x 10-5 K-1) (Answer in 1 decimal places) A lo

an aluminum cylinder 10 cm long , with a cross-sectional area of 20 cm² , is to be used as a spacer between two steel walls . At 25 °C it just slips in between the valls. Then it warms to 77 °C. Calculate the total force (in kN) it exerts on each wall, assuming that the walls are perfectly rigid and a constant distance apart. (Y = 1011 0.70 x Pa and aAl = 2.4 x 10-5 K-1) (Answer in 1 decimal places) A lo

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter1: Temperature And Heat

Section: Chapter Questions

Problem 105AP: How much stress is cleated in a steel beam if its temperature changes from 15 to 40 but it cannot...

See similar textbooks

Similar questions

The average coefficient of linear expansion of copper is 17 106 (C)1. The Statue of Liberty is 93 in tall on a summer morning when the temperature is 25C. Assume the copper plates covering the statue are mounted edge to edge without expansion joints and do not buckle or bind on the framework supporting them as the day grows hot. What is the order of magnitude of the statues increase in height? (a) 0.1 mm (b) 1 mm (c) 1 cm (d) 10 cm (e) 1 m
Two concrete spans that form a bridge of length L are placed end to end so that no room is allowed for expansion (Fig. P16.63a). If a temperature increase of T occurs, what is the height y to which the spans rise when they buckle (Fig. P16.63b)?
How much stress is cleated in a steel beam if its temperature changes from 15 to 40 but it cannot expand? For steel, the Young's modulus Y=210109N/m2 from Stress, Strain, and Elastic Modulus (http://cnx.org/content/m58342/latest/#fs-id1163713086230). (Ignore the change in area resulting from the expansion.)
Consider a 20 cm thick granite wall with a thermal conductivity of 2.79 W/m·K. The temperature of the left surface is held constant at 50°C, whereas the right face is exposed to a flow of 22°C air with a convection heat transfer coefficient of 15 W/m2·K. Neglecting heat transfer by radiation, find the right wall surface temperature and the heat flux through the wall.
A brass bar is joined at one end to a 70 cm copper bar and at the other end with boiling water at 1 atm. In order to achieve conductive heat transfer, the copper-free end is brought into contact with a mixture of water and ice also at 1 atm. Both bars have a cross sectional area of 0.00500 m2. The sides of the rods are insulated, so there is no heat loss to the surroundings. If after 5 minutes 50 g of ice melts, find the length of the brass bar.
The Golden Gate Bridge in San Francisco has a main span of length 1.28 km, one of the longest in the world. Imagine that a steel wire with this length and a cross-sectional area of 4.00 x 10-6 m2 is laid on the bridge deck with its ends attached to the towers of the bridge, on a summer day when the temperature of the wire is 35.0°C. (a) When winter arrives, the towers stay the same distance apart and the bridge deck keeps the same shape as its expansion joints open. When the temperature drops to -10.0°C, what is the tension in the wire? Take Young’s modulus for steel to be 20.0 x 1010 N/m2. (b) Permanent deformation occurs if the stress in the steel exceeds its elastic limit of 3.00 x 108 N/m2. At what temperature would the wire reach its elastic limit? (c) Explain how your answers to (a) and (b) would change if the Golden Gate Bridge were twice as long.
One end of an aluminum rod (50 cm long) is maintained at 1000C by immersing in a pot of boiling water and the other end at 00C by an ice-water mixture. If the cross-sectional area of the rod is 1.3 cm2, how much ice will the rod melt in 20 minutes? (thermal conductivity of Al is 205 W/m.0C) a) 0.19 kg b) 1.9 kg c) .019 kg Now consider the same situation, but the 50 cm long rod is half aluminum (25 cm) and half copper (25 cm). The aluminum end is in boiling water. The copper end is in the ice-water mixture. What would be the steady temperature of the Al-Cu junction? a) 50 0C b) 34.75 0C c) 65.25 0C How much ice will the rod melt in 20 minutes? a) 0.025 kg b) 0.25 kg c) 2.5 kg
One end of a 0.33-m copper [k = 390 J/(s·m·C°)] rod with a cross-sectional area of 1.0 × 10-4 m2 is driven into the center of a sphere of ice at 0°C (radius = 0.14 m). The rod is horizontal and its other end is fastened to a wall in a room. The rod and the room are kept at a constant temperature of 21°C. The emissivity of the ice is 0.93. What is the ratio of the heat per second gained by the sphere through conduction to the net heat per second gained by the ice due to radiation? Neglect any heat gained through the sides of the rod.
A circular copper ring at 24.0°C has a hole with an area of 9.95 cm2. What minimum temperature must it have so that it can be slipped onto a steel metal rod having a cross-sectional area of 10.0 cm2? Suppose the ring and the rod are heated simultaneously. What change in temperature of both will allow the ring to be slipped onto the end of the rod? (Assume no significant change in the coefficients of linear expansion over this temperature range.)
A solid metal sphere of mass 0.325 kg, diameter of 5.00 cm and emissivity 0.925 has a uniform temperature of 309.5 K over its entire volume. Assuming the sphere does not absorb any radiation, determine the rate at which its temperature changes (in °C/s). The specific heat capacity of the metal is 448 J/kg · °C. ________ °C/s
A heat-conducting rod, 1.60 m long and wrapped in insulation, is made of an aluminum section that is 0.90 m long and a copper section that is 0.70 m long. Both sections have a cross-sectional area of 0.00040 m2. The aluminum end and the copper end are maintained at temperatures of 30 degrees Celcius and 170 degrees Celcius, respectively. The thermal conductivities of aluminum and copper are 205 W/m * K (aluminum) and 385 W/m * K (copper). At what rate is heat conducted in the rod under steady-state conditions?
A square steel bar of side length w = 0.13 m has a thermal conductivity of k = 14 J/(s⋅m⋅°C) and is L = 2.1 m long. One end is placed near a blowtorch so that the temperature is T1 = 78° C while the other end rests on a block of ice so that the temperature is a constant T2. (a) Input an expression for the heat transferred to the cold end of the bar as a function of time, using A = w2 as the cross-sectional area of the bar. (b) How much energy, in joules, was conducted in 1 hour, assuming T2 = 0° C? (c) Input an expression for the mass of the water melted in 1 hour using Q1 from above and Lf the latent heat of fusion.