Physics, 05.05.2020 04:19 BreBreDoeCCx
What is the change ΔT in the period of a simple pendulum when the acceleration of gravity g changes by Δg? (Hint: The new period T+ΔT is obtained by substituting g+Δg for g: T+ΔT=2πLg+Δg−−−−√. To obtain an approximate expression, expand the factor (g+Δg)−1/2 using the binomial theorem and keep only the first two terms: (g+Δg)−1/2=g−1/2−12g−3/2Δg+⋯ The other terms contain higher powers of Δg and are very small if Δg is small.) Express your result as the fractional change in period ΔTT in terms of the fractional change Δgg.
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