A pendulum swings with a period of 1.5 seconds. What is the angular frequency of

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Question: A pendulum swings with a period of 1.5 seconds. What is the angular frequency of the pendulum?

Options:

Correct Answer: 4π/3 rad/s

Solution:

Angular frequency (ω) = 2π/T = 2π/1.5 = 4π/3 rad/s.

A pendulum swings with a period of 1.5 seconds. What is the angular frequency of the pendulum?

A pendulum swings with a period of 1.5 seconds. What is the angular frequency of the pendulum?

Step 1: Understand that the period (T) of a pendulum is the time it takes to complete one full swing back and forth.
Step 2: Identify the given period of the pendulum, which is 1.5 seconds.
Step 3: Know the formula for angular frequency (ω), which is ω = 2π/T.
Step 4: Substitute the value of T into the formula: ω = 2π/1.5.
Step 5: Simplify the fraction: 2π/1.5 is the same as (2π * 2)/(3) = 4π/3.
Step 6: Write the final answer: The angular frequency of the pendulum is 4π/3 rad/s.

Angular Frequency – Angular frequency (ω) is the rate of rotation or oscillation, calculated as ω = 2π/T, where T is the period of the motion.
Period of a Pendulum – The period is the time taken for one complete cycle of motion, which is crucial for calculating angular frequency.