FIND THE LENGTH (IN CM) OF A PENDULUM WITH A PERIOD OF 1.20S.
Yes. 0.357 m or 35.7 cm
To find the length of a pendulum with a period of 1.20 seconds, we can use the formula for the period of a simple pendulum:
T = 2 * π * √(L / g)
Where:
T is the period of the pendulum
L is the length of the pendulum
g is the acceleration due to gravity
Rearranging the formula, we have:
L = (T^2 * g) / (4 * π^2)
Now, we can substitute the given values:
T = 1.20 seconds
g ≈ 9.8 m/s^2 (acceleration due to gravity)
Converting the period to seconds, we have:
L = (1.20^2 * 9.8) / (4 * π^2)
Calculating this expression will give us the length of the pendulum in meters. To convert it to centimeters, we need to multiply by 100:
Length (in cm) = L * 100
Now you can plug in the values and perform the calculation to find the length of the pendulum in centimeters.
For simple pendulum
T =2•π•sqrt(L/g)
1.2 = 2 pi sqrt (L/g)
.0365 = L/ 9.8
L = .357 m
= 35.7 cm yes