Question #138336

Dr. P’s grandfather clock has a pendulum of length of 1.0 cm. Determine: (a) its period on earth, (b) its
period on the moon where g = 1.62 m/s2.

Expert's answer

Solution

time period is given by

T=2πlgT=2\pi \sqrt{\frac{l}{g}}

a) time period on earth

Te=2×3.140.019.8=0.032sT_e=2\times3.14\sqrt{\frac{0.01}{9.8}}=0.032s

b) time period on moon

Te=2×3.140.011.62=0.078sT_e=2\times3.14\sqrt{\frac{0.01}{1.62}}=0.078s



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