Answer:
Length of the Pendulum is 14.4 cm
Explanation:
Time period of simple pendulum is given by
[tex]T=2\pi \sqrt{\frac{L}{g} } \\[/tex]
time taken for one oscillation is
[tex]T=\frac{time taken}{oscillations} \\T=\frac{8.75}{15} \\T=0.583 s[/tex]
Pendulum length on the earth surface is
[tex]L=\frac{T^2g}{4\pi^2 }\\L=\frac{0.583\times 9.8}{4\pi^2 } \\L=0.144 m[/tex]
Length of the Pendulum is 14.4 cm