A student builds a pendulum by suspending a small metal sphere from a light string of…

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A student builds a pendulum by suspending a small metal sphere from a light string of length 0.80 m0.80\,\text{m} in a physics laboratory where g=9.8 m s−2g=9.8\,\text{m}\,\text{s}^{-2}. The measured period of small-angle oscillation is 1.8 s1.8\,\text{s}. The student then lengthens the string to 1.20 m1.20\,\text{m} and repeats the experiment at the same location. (a) Determine the new period of oscillation at the same location. (b) Calculate the percent change in period produced by increasing the length of the pendulum.

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