How much will a piece of steel with a mass of 1.5 kg heat up during stamping from a blow

| May 11, 2021 | education

How much will a piece of steel with a mass of 1.5 kg heat up during stamping from a blow of a hammer with a mass of 230 kg, if the speed of the hammer at the moment of impact is 7 m / s, and 60% of the hammer’s energy is spent on heating the steel?

Data: m1 (mass of a piece of steel) = 1.5 kg; m2 (hammer weight) = 230 kg; V (speed of the hammer at the moment of impact) = 7 m / s; η (percentage of the kinetic energy of the hammer, which is spent on heating a piece of steel) = 60% (0.6).

Constants: С (specific heat capacity of steel) = 500 J / (kg * ºС).

We calculate the change in temperature of a piece of steel during stamping from the equality: η * Ek = Q = η * 0.5 * m ^ 2 * V ^ 2 = C * m1 * Δt, whence Δt = η * 0.5 * m ^ 2 * V ^ 2 / (C * m1).

Let’s calculate: Δt = 0.6 * 0.5 * 230 * 7 ^ 2 / (500 * 1.5) ≈ 4.5 ºС.



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