Concept explainers
An astronaut uses a simple pendulum to measure the acceleration of gravity at the surface of a newly discovered planet. The length of the pendulum arm L can be varied between 0.1 m and 0.8 m. The astronaut measures the period of the pendulum motion at a variety of different arm lengths L. Her data are listed here:
L(m) | Period (s) |
0.10 | 0.48 |
0.22 | 0.71 |
0.45 | 1.02 |
0.58 | 1.16 |
0.75 | 1.32 |
Referring to Equation 11.32 as a guide, make a linearized plot of the data by graphing the square of the period as a function of the pendulum arm length. Use a linear “best fit” to the data to determine the acceleration of gravity near the surface of the planet.
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