Question

Can you please help me to resolve this problem? Please provide a detailed explanation on the procedures used to resolve it. Thank you very much!!

Plastic parts can be made by a process called injection molding, where plastic is melted and injected into a mold at high pressure. It is then allowed to cool and harden, and the part is removed from the mold. At 105°C plastic fills the cavity You want to inject plastic at 105 °C into a steel mold. When the part comes out of the mold at 20.0 °C, it should At 20.0°C there is a gap be 5.000 cm long. What should the length of plastic be at 105 °C? What is the length of the steel cavity at 20.0 °C? Asteel = 12.0x10-6 °C-1, Aplastic = 53.0x10-6 °C-1 5.000cm

Answer 1

The solution of the problem is given below

Page No. Date solution Xsteel - 12.0x10 6 oC Splent = 53.0x108 for s Plasti - l = lo lt & AT length at 20°c l = 5.000 cm u " 105c doa ? AT= 20-105 = -95°C lo 5.000 = lo 2 (1+53.0x108x-95) 5 .000 1 - 0.00 5035 5.025 cm L : for steel l. = 5.025cm length at losc (same as plastic) lengter at de la ? DT-20 105 = 95°C la loc lt LDT) 1 = 5.025 1 - 5.025 (1-124 10 6 x 95) (- 0.001140) - l -5.019 cm