Page 65 - SP015 Past Years PSPM Chapter 6 -14 Ver 2020

PSPM SP015

PSPM 2014/2015 SF016/2 No. 8(b)

27.
brass plate

aluminium
rod

0.02 mm

FIGURE 12.7

FIGURE 12.7 shows an aluminium rod with radius 5 cm and having a clearance of
0.02 mm completely around it within a hole in a brass plate at 20 C. The coefficient of
-1
-5
-1
-5
linear thermal expansion of brass and aluminium are 1.9  10 C and 2.4  10 C
respectively.

(a) Calculate the lowest temperature if both metals are heated until the clearance is
zero. [3 m]

(b) Would such a tightly fit be possible if the plate is aluminium and the rod is brass
and both metals are heated? Explain your answer. [2 m]

PSPM 2016/2017 SF016/2 No. 8(a)

3
28. A 200 cm glass cylinder is filled to the brim with mercury at 27 C. Calculate the
amount of overflow when the temperature of the system increases to 100 C. The
-1
-6
-1
-5
coefficient of linear expansion of the glass and mercury are 4  10 K and 6  10 K
respectively.
[4 m]

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