Answer :
Final answer:
The time period of a simple pendulum of length 143 cm is approximately 3.9 seconds. The formula T = 2π √(l/g) is used, with l converted to meters and g representing the acceleration due to gravity.
Explanation:
Calculating the Period of a Simple Pendulum
The question you have asked is about finding the time period of a simple pendulum with a given length. The mass of the bob does not affect the time period; therefore, the mass of the bob (2.9 kg in this case) is irrelevant to the solution. To calculate the time period (T) of a simple pendulum, you can use the formula:
T = 2π √(l/g)
Where T is the time period in seconds, l is the length of the pendulum in meters, and g is the acceleration due to gravity, typically 9.81 m/s² on the surface of the Earth. First, you will need to convert the length from centimeters to meters:
143 cm = 1.43 m
Now, using the formula:
T = 2π √(1.43 m / 9.81 m/s²)
T = 2π √(0.14577 s²)
T ≈ 2π √(0.382 s)
T ≈ 2π × 0.619 s
T ≈ 3.896 s
The time period of the pendulum is approximately 3.9 seconds.
