153dec2k1

# 153dec2k1 - The University of British Columbia December...

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The University of British Columbia December Examination - December 7, 2001 1. The ﬁgure on the right below shows a simple model of a pendulum for a grandfathers clock. It consists of a steel bar ( α S = 11 × 10 - 6 K - 1 ) of length L s , an aluminum bar ( α A = 24 × 10 - 6 K - 1 ) of length L A and the pendulum bob. Both bars are of negligible weight and are connected at their bottom ends. The bob is attached to the top end of the aluminum bar. The pendulum length, then is L = L S - L A . (a) If L = 24 . 82 cm, what is the period of the pendulum? L S and L A are chosen such that the pendulum period does not change when the temperature changes. (b) Find L S and L A . L L S A 2. A hot plate is maintained at a temperature of 200 C . A cylindrical stone pot ( k = 1 W/m K ) with a base of 10 cm radius and 5 mm thickness is ﬁlled with a mixture of water and 500 g of ice ( L f = 333 . 5 kJ/kg ). After the pot is placed onto the hot plate what is (a) the thermal current entering the water? (b) How long will it take to melt all

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153dec2k1 - The University of British Columbia December...

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