Question

a vibrating pendulum makes 10 complete vibrations in 17.6 seconds. determine the vibrational period of the pendulum, along with the corresponding unit. enter your answer with at least 3 significant digits.

Explanation:

Step1: Define period formula

The period $T$ is total time divided by number of vibrations:
$$T = \frac{\text{Total Time}}{\text{Number of Vibrations}}$$

Step2: Substitute given values

Plug in 17.6 seconds and 10 vibrations:
$$T = \frac{17.6}{10}$$

Step3: Calculate and round

Compute the value, ensure 3 significant digits:
$$T = 1.76$$

Answer:

1.76 seconds