A simple pendulum has a length of 1.25m.calculate its period and what is the percentage increase of the period?
T = 2pi*sqrt(L/g).
pi = 3.14., L = 1.25 m., g = 9.8 m/s^2.
Student
To calculate the period of a simple pendulum, you can use the formula:
T = 2π√(L/g)
Where:
T is the period of the pendulum
π is the mathematical constant "pi" (approximately 3.14159)
L is the length of the pendulum
g is the acceleration due to gravity (approximately 9.8 m/s² on Earth)
In this case, the length of the pendulum (L) is given as 1.25m.
Let's substitute the values into the formula to find the period:
T = 2π√(1.25/9.8)
T = 2π√(0.1276)
T ≈ 2π * 0.357
T ≈ 2.245s
So, the period of the pendulum is approximately 2.245 seconds.
To calculate the percentage increase of the period, you need to know the original period and the new period. However, since only the length of the pendulum is given, we don't have enough information to calculate the percentage increase.