Answer:
Step-by-step explanation:
Certainly! Let’s find the length of the new pendulum. We’ll use the formula for the period of a simple pendulum:
T=2πgL
Where:
(T) is the period of the pendulum (the time it takes for one complete swing).
(L) is the length of the pendulum from the pivot point to the center of mass of the bob.
(g) is the acceleration due to gravity.
Given that the original pendulum completed one swing every 0.7 seconds, we can set up the following equation:
[ 0.7 = 2\pi \sqrt{\frac{L}{9.8}} ]
Solving for (L):
[ L = \left(\frac{0.7}{2\pi}\right)^2 \cdot 9.8 ]
Calculating the value:
[ L \approx 0.596 : \text{m} ]
Therefore, the length of the new pendulum should be approximately 0.596 meters.
