Question

What is the period of a (1.00 m)-long pendulum?

a) (0.500 s)
b) (1.00 s)
c) (1.57 s)
d) (2.00 s)

Answer 1

The period of a 1.00 m-long pendulum is approximately 2.01 seconds.

Step-by-step explanation:

The period of a pendulum is the time it takes for one complete swing back and forth. The formula to calculate the period of a simple pendulum is:

T = 2π√(L/g)

Where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. In this case, the length of the pendulum is 1.00 m. We can assume that the acceleration due to gravity is 9.8 m/s² (approximately).

Plugging the values into the formula, we get:

T = 2π√(1.00/9.8) ≈ 2.01 s

Therefore, the period of a 1.00 m long pendulum is approximately 2.01 seconds, which is closest to option (d) (2.00 s).