What is the time period of a simple pendulum of length L?
Practice Questions
1 question
Q1
What is the time period of a simple pendulum of length L?
2π√(L/g)
2π√(g/L)
g/2π√L
L/2π√g
The time period T of a simple pendulum is given by T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the time period of a simple pendulum of length L?
Solution: The time period T of a simple pendulum is given by T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity.
Steps: 7
Step 1: Understand what a simple pendulum is. It is a weight (or bob) attached to a string that swings back and forth.
Step 2: Identify the length of the pendulum, which is the distance from the top of the string to the center of the weight.
Step 3: Know that the time period (T) is the time it takes for the pendulum to complete one full swing back and forth.
Step 4: Learn the formula for the time period of a simple pendulum: T = 2π√(L/g).
Step 5: In the formula, L is the length of the pendulum and g is the acceleration due to gravity (approximately 9.81 m/s² on Earth).
Step 6: To find the time period, plug in the value of L (length of the pendulum) and g (acceleration due to gravity) into the formula.
Step 7: Calculate the square root of (L/g), multiply it by 2π to get the time period T.
