Railroad tracks are made from segments L = 89 m long at T = 20° C. When the tracks are laid, the engineers leave gaps of width l between adjacent segments to allow for thermal expansion. The coefficient of linear expansion is α = 12 × 10-6 °C-1and engineers design the tracks to withstand temperatures of Tc = 35 degrees. Part (a) Enter an expression, in terms of given variables, for the minimum gap distance l the engineers must leave for a track rated at temperature Tc. Expression : l = __________________________________________ Select from the variables below to write your expression. Note that all variables may not be required. α, β, θ, d, g, h, i, j, k, L, m, P, t, Tc, To Part (b) What is the minimum gap distance in meters? Numeric : A numeric value is expected and not an expression. l = __________________________________________ Part (c) Suppose the engineers forgot to add the gaps at the beginning of 15 segments. How much longer, in meters, would the track be at Tc? Numeric : A numeric value is expected and not an expression. ΔL = __________________________________________
Railroad tracks are made from segments L = 89 m long at T = 20° C. When the tracks are laid, the engineers leave gaps of width l between adjacent segments to allow for thermal expansion. The coefficient of linear expansion is α = 12 × 10-6 °C-1and engineers design the tracks to withstand temperatures of Tc = 35 degrees.
Part (a) Enter an expression, in terms of given variables, for the minimum gap distance l the engineers must leave for a track rated at temperature Tc.
Expression :
l = __________________________________________
Select from the variables below to write your expression. Note that all variables may not be required.
α, β, θ, d, g, h, i, j, k, L, m, P, t, Tc, To
Part (b) What is the minimum gap distance in meters?
Numeric : A numeric value is expected and not an expression.
l = __________________________________________
Part (c) Suppose the engineers forgot to add the gaps at the beginning of 15 segments. How much longer, in meters, would the track be at Tc?
Numeric : A numeric value is expected and not an expression.
ΔL = __________________________________________
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