For a second's pendulum calibrate a seconds pendulum clock having steel wire is calibrated at 20c. When temperature is increased to 30c, then calculate how much time does the clock lose or gain in one week? [steel=1.2105(c1)]
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Answered by
42
Hey buddy,
◆ Answer- 36.288 s
◆ Explanation-
# Given-
α = 1.2×10^-5 /°C
T1 = 20 °C
T2 = 30 °C
t = 1 week = 604800 s
# Solution-
Change in temperature is
∆T = T2 - T1
∆T = 30 - 20 = 10 °C
Time gained by clock is calculated by formula-
∆t = 1/2 α∆Tt
∆t = 1/2 × 1.2×10^-5 × 10 × 604800
∆t = 36.288 s
Therefore, the clock will gain 36.288 s.
Hope that is helpful...
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12
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