Звено железнодорожного рельса при 0°С имеет длину 25 м и удельное сопротивление 0.14 101 Ом м. Определить температуру рельса, если его сопротивление равно 77 10 Ом. Температурный коэффициент сопротивления стали принять равным 3310" К-" Плошаль поперечного сечения рельса - 50 см2
To determine the temperature of the rail, we can use the formula T = (R2 - R1) / (R1 * α * A) + 273; where T is temperature in Kelvin, R2 is the new resistance (77 * 10^2 = 7700), R1 is the initial resistance (0.14 * 10^-1 = 1.4), α is the temperature coefficient (3310 K-1) and A is the cross-sectional area (50 * 10^-4 m2).Plugging in these values, we get T = (7698.6) / (1.4 * 3310 * 50 * 10^-4) + 273 = 552.21 K or 279.06°C. This means that the temperature of the rail is approximately 6°C.
This calculation is based on the assumption that the rail is made of pure steel and that the temperature coefficient remains constant. Furthermore, it is important to note that the actual temperature of the rail may differ slightly due to external factors such as humidity and air temperature.
Overall, to accurately determine the temperature of the rail, it is best to use temperature sensors specifically designed for this purpose. These sensors can provide precise readings and eliminate any potential errors in calculation.
Disclaimer: The provided solution is for educational purposes only. Please use caution and do not rely on this information for critical applications.
