What is the period (in seconds) of a simple pendulum 62.0 cm. long, on the earth?
To find the period of a simple pendulum, you can use the following formula:
T = 2π√(L/g)
where:
T = Period of the pendulum (in seconds)
L = Length of the pendulum (in meters)
g = Acceleration due to gravity (approximately 9.8 m/s^2 on Earth)
Given that the length of the pendulum is 62.0 cm, we need to convert it to meters by dividing it by 100:
L = 62.0 cm ÷ 100 = 0.62 m
Now, substitute the values into the formula:
T = 2π√(0.62/9.8)
To calculate this, we need to evaluate the square root of (0.62/9.8) and multiply the result by 2π. Let me do the math for you.