This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Welcome back precious — missed you this week. Step 1: Identify the given values and the formula for linear expansion. The initial diameter is D_0 = 60 cm. The final diameter is D = 60.45 cm. The initial temperature is T_0 = 20^. The linear expansivity of iron is = 1.2 × 10^-5 K^-1. The formula for linear expansion is D = D_0 (1 + T), where T = T - T_0. Step 2: Rearrange the formula to solve for the change in temperature, T. D = D_0 (1 + T) (D)/(D_0) = 1 + T (D)/(D_0) - 1 = T T = (1)/() ( (D)/(D_0) - 1 ) Step 3: Substitute the given values into the rearranged formula and calculate T. T = (1)/(1.2 × 10^-5) K^-1 ( 60.45 cm60 cm - 1 ) T = (1)/(1.2 × 10^-5) (1.0075 - 1) T = (1)/(1.2 × 10^-5) (0.0075) T = (0.0075)/(1.2 × 10^-5) T = 625 K Since a change in temperature of 1 K is equal to a change of 1^, T = 625^. Step 4: Calculate the final temperature T. T = T_0 + T T = 20^ + 625^ T = 645^ The temperature to which the tyre must be heated is 645^. Send me the next one 📸