At 20 °C, an aluminum ring has an inner diameter of 2.99 cm and an outer diameter of 4.00 cm. The ring needs to fit over a stainless steel rod that has a diameter of 3.00 cm at 20 °C. Assume that the ring and rod are situated such that they both need to be heated by the same flame. To what temperature in °C must the rod and ring be heated so that the ring just barely slips over the rod? Use coefficients of linear expansion: αal = 2.3 x 10-5(°C)-¹ and ast = 1.7 × 10-5(°C)-¹. A. 441 °C B. 527 °C C. 563 °C D. 583 °C E. 627 °C

A pair of eyeglass frames are made of an epoxy plastic (coefficient of linear expansion = 1.30 10-4°C-1). At room temperature (20.0°C), the frames have circular lens holes 2.40 cm in radius. To what temperature must the frames be heated if lenses 2.41 cm in radius are to be inserted into them?

An aluminum ring has an inner radius of 4.9973 cm at room temperature (20 °C). A copper ball has a radius of 5.0035 cm at the same temperature. To what final temperature (in °C) must you heat the ring for the ball (starting from room temperature) to be able to pass through it? (The linear thermal expansion coefficient for aluminum is 2.34 * 10-5 °C-1 and for copper is 1.76 * 10-5 °C-1.)

A metal rod has a starting length of 240 cm. When the temperature changes from 25 °C to 110 °C, the length of the rod changes 0.115 cm. What is the linear expansion coefficient of the rod?

At a temperature of 22.00°C the hole in a steel plate has a diameter of 1.040 cm. If a steel rod with a diameter of 1.049 cm has to just slip through this hole, to what temperature should the plate be heated? The coefficient of area expansion of steel is 24 ✕ 10−6/°C. ________________________ °C