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.

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