Answer to Question #177345 in Classical Mechanics for Derrick

Question

The value of time for 20 oscillations are obtained 16.1 15.9 16.0 16.2 15.8 Determine the period of the pendulum

Answer 1

Let's first find the average time for 20 oscillations:

$$t_{avg}=\dfrac{16.1\ s+15.9\ s+16.0\ s+16.2\ s+15.8\ s}{5}=16\ s.$$

Finally, we can find the period of the pendulum:

$$T=\dfrac{t_{avg}}{20}=\dfrac{16\ s}{20}=0.8\ s.$$