Final answer:
To calculate the period of a pendulum consisting of a 6.00-kg mass hanging from a 7.37-m-long string, we use the formula T=2π√(L/g) with standard gravity. The result is approximately 5.455 seconds for the period of the pendulum.
Step-by-step explanation:
The period of a pendulum is given by the formula:
T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
To find the period T of the pendulum with a 6.00-kg mass hanging from a 7.37-m-long string, we use the standard acceleration due to gravity, which is approximately 9.81 m/s². Plugging the values into the formula we get:
T = 2π√(7.37/9.81)
Doing the calculations:
T = 2π√(0.7513)
T ≈ 2π(0.8666)
T ≈ 5.455 seconds (rounded to three decimal places)
Therefore, the period of the pendulum is approximately 5.455 seconds.