The time period (T) of a simple pendulum is given by the formula T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity. A pendulum clock runs fast if its period T is shorter than intended, meaning it completes swings faster. The length of the pendulum rod changes with temperature due to thermal expansion/contraction. In winter, the temperature is lower, causing the metal pendulum rod to contract and become slightly shorter (L decreases). A decrease in L leads to a decrease in T, making the pendulum swing faster, and thus the clock runs fast. In summer, the rod expands, L increases, T increases, and the clock runs slow.
Pendulam clock may run fast In:
Asked in RPSC RAS Prelims 1998 · Topic: Heat and Thermodynamics (Thermal Expansion (Solids, Liquids, Gases))
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