A steel sphere sits on top of an aluminum ring.The steel sphere (α = 1.10 × 10−⁵/°C)has a diameter of 4.0000 cm at 0°C.The aluminum ring (α = 2.40 × 10−⁵/°C)has an inside diameter of 3.9900 cm at 0°C.Closest to which temperature given will the sphere just fall through the ring?

Question

Quizplus · Accepted Answer

The sphere will fall through the ring when their diameters are equal. Using the formula for linear expansion, the temperature at which the sphere's diameter equals the ring's diameter can be calculated. Solving for the temperature gives approximately 193°C.

A Steel Sphere Sits on Top of an Aluminum Ring