At a temperature of 22.00°C the hole in a steel plate has a diameter of 1.030 cm. If a steel rod with a diameter of 1.037 cm has just slip through this hole, to what temperature should the plate be heated? The coefficient of area expansion of steel is 24 x 10-6/°C.

(a) A circular copper ring at 19.0°C has a hole with an area of 9.95 cm2. What minimum temperature must it have so that it can be slipped onto a steel metal rod having a cross-sectional area of 10.0 cm2?167°C(b) Suppose the ring and the rod are heated simultaneously. What change in temperature of both will allow the ring to be slipped onto the end of the rod? (Assume no significant change in the coefficients of linear expansion over this temperature range.) °C

The frames for a pair of eyeglasses have a radius of 2.14 cm at 20.0°C. Lenses with radius of 2.15 cm have to be inserted into these frames. To what temperature must the technician heat the frames to accommodate the lenses? The frames are made of a material whose thermal expansion coefficient is 1.30  10-4/°C.

A spherical brass shell has an interior volume of 1.55 x10-3 m3. Within this interior volume is a solid steel ball thathas a volume of 5.00 x 10-4 m3. The space between the steel ball and the inner surface of the brass shell is filledcompletely with mercury. A small hole is drilled through the brass, and the temperature of the arrangement is increasedby 10 °C. What is the volume of the mercury that spills out of the hole?

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?

A student walking to class on a cold day (To = 4 °C) find a silver ring with an inner diameter of D = 1.85 cm. The silver has a coefficient of linear expansion of α = 18.6 × 10-6 1/C. a. Input an expression for the rings inner diameter Dh when the student warms it to their body temperature, Tb.  b. What is the change in diameter, in units of millimeters, if Tb = 37 °C?

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