Chapter 25, Problem 3A

Suppose that a pendulum has a period of 1.5 seconds. How long does it take to make a complete back-and-forth vibration?

To determine

To calculate: The duration for a complete back and forth vibration of a pendulum in the given period.

Answer to Problem 3A

The time for a complete back-and-forth vibration is $1.5\text{ s}$

Explanation of Solution

Given:

The period of a pendulum is 1.5 seconds.

Calculation:

Considering the pendulum motion shown below, the fundamental period or period, T is the duration for completing one full cycle of back and forth motion. This represents the movement of the pendulum bob from center to one extreme point and then to the other extreme point through the center as shown in the figure.

  

Here, the period of the pendulum is 1.5 s.

Conclusion:

Thus, the time for one complete back and forth motion is the same as the period and is 1.5 s.