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Question
The pendulum of a certain clock has time period 2.04 s. How fast or slow does the clock run during 24 hours?
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Solution
Given,
Time period of the clock pendulum = 2.04 s
The number of oscillations made by the pendulum in one day is calculated as \[\frac{\text { Number of seconds in one day }}{\text {time period of pendulum in seconds }} = \frac{24 \times 3600}{2}\] = 43200
In each oscillation, the clock gets slower by (2.04 − 2.00) s, i.e., 0.04 s.
In one day, it is slowed by = 43200 × (0.04)
= 28.8 min
Thus, the clock runs 28.8 minutes slow during 24 hours.
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