How much the lengths of various substances change with temperature changes is given by their coefficients of linear expansion, α. The greater the value of α, the greater the change in length for a given change in temperature. Three kinds of metal wires are stretched between distant telephone poles. Rank these wires, from greatest to least, in terms of how much they will sag on a hot summer day: (a) Copper, α = 17 × 10 -6 /°C. (b) Aluminum, α = 24 × 10 -6 /°C. (c) Steel, α = 11 × 10 -6 /°C.
How much the lengths of various substances change with temperature changes is given by their coefficients of linear expansion, α. The greater the value of α, the greater the change in length for a given change in temperature. Three kinds of metal wires are stretched between distant telephone poles. Rank these wires, from greatest to least, in terms of how much they will sag on a hot summer day: (a) Copper, α = 17 × 10 -6 /°C. (b) Aluminum, α = 24 × 10 -6 /°C. (c) Steel, α = 11 × 10 -6 /°C.
How much the lengths of various substances change with temperature changes is given by their coefficients of linear expansion, α. The greater the value of α, the greater the change in length for a given change in temperature. Three kinds of metal wires are stretched between distant telephone poles. Rank these wires, from greatest to least, in terms of how much they will sag on a hot summer day: (a) Copper, α = 17 × 10-6 /°C. (b) Aluminum, α = 24 × 10-6 /°C. (c) Steel, α = 11 × 10-6 /°C.
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 4.40 ✕ 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 36.0°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 ✕ 1010 N/m2. (Assume the coefficient of thermal expansion of steel is
11 ✕ 10−6 (°C)−1.)
? N(b) Permanent deformation occurs if the stress in the steel exceeds its elastic limit of 3.00 ✕ 108 N/m2. At what temperature would the wire reach its elastic limit? ?°C(c) Explain how your answers to (a) and (b) would change if the Golden Gate Bridge were twice as long.
In a given railroad of the Philippine National Railways that runs from Caloocan City to Legaspi City, what minimum gap must be placed between two steel railroad rails each 15.0 m long when laid at 32 degrees Celsius and the maximum temperature is 42.5 degrees Celsius?
A brass rod of length 50 cm and diameter 3.0 mm is joined to a steel rod of the same length and diameter. What is the change in length of the combined rod at 250 °C, if the original lengths are at 40.0 °C? Is there a ‘thermal stress’ developed at the junction ? The ends of the rod are free to expand (Co-efficient of linear expansion of brass = 2.0×10-5 K-1 steel =1.2×10-5 K-1
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