Question

Susan makes a simple pendulum by attaching a rock to a piece of string that is 24.6 centimeters long. Then she swings it back and forth. What is the period of her simple pendulum?

1) 1.32 seconds
2) 0.99 seconds
3) 9.81 seconds
4) 2.43 seconds

Answer 1

The period of Susan's simple pendulum is approximately 0.992 seconds.

Step-by-step explanation:

The period of a pendulum is the time it takes for one complete swing. It can be calculated using the formula:

Period = 2π√(length/g)

Where length is the length of the string and g is the acceleration due to gravity.

In this case, the length of the string is 24.6 centimeters. To find the period, we need to know the value of g. Assuming g is approximately 9.81 m/s², we can convert the length of the string to meters and use the formula to calculate the period.

Period = 2π√(0.246/9.81)

Calculating this, the period of Susan's simple pendulum is approximately 0.992 seconds.