The length of a certain simple pendulum is given to be

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

Problem

The length of a certain simple pendulum is given to be 45π2 m\dfrac{45}{\pi^{2}}\,\text{m}. Take g=9.8 m s−2g = 9.8\,\text{m s}^{-2}. (i) Calculate the time period of the pendulum. (ii) Hence find its frequency. (iii) If the length of the pendulum is increased by 20%20\%, compute the new time period.

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