Frequency of a simple pendulum and it's mass

In summary, the conversation discusses the relationships between the frequency of a simple pendulum and its mass, amplitude, and length. It is suggested that only the amplitude affects the pendulum, while the mass and length do not. The formula for the period of a simple pendulum is mentioned, and it is suggested to conduct an experiment by tying a ball to a string. It is also noted that the length does affect the pendulum due to the increase in arc, while mass does not affect it due to gravity. The concept of exposed area and its impact on the period is also brought up.
  • #1
BBboy
11
0
hi, i have a question
"What are the relationships between the frequency of a simple pendulum and it's mass, amplitude abd length?"
im pretty sure only the amplitude affects the pendulum while the mass and length don't right?
 
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  • #2
Look up (or derive) the formula for the period of a simple pendulum.
 
  • #3
Im pretty sure only the amplitude affects the pendulum while the mass and length don't right?

Why don't you try it? Tie a ball to a piece of string and have a look.
 
  • #4
The length does since the arc becomes greater for a same angle. The mass dosen't since for gravity mass dosen't affect the acceleration. Also why not consider the exposed area? That does affect the period since it is related to air resistance.
 

What is the relationship between the frequency of a simple pendulum and its mass?

The frequency of a simple pendulum is directly proportional to the square root of its length and inversely proportional to the square root of its mass. This means that as the mass of the pendulum increases, its frequency decreases.

How does changing the mass of a simple pendulum affect its frequency?

Increasing the mass of a simple pendulum will cause its frequency to decrease, while decreasing its mass will result in an increase in frequency. This is because the mass of the pendulum affects its inertia, which in turn affects the time it takes to complete one swing or oscillation.

What is the formula for calculating the frequency of a simple pendulum?

The formula for calculating the frequency of a simple pendulum is f = 1/2π √(g/L), where f is the frequency in hertz, g is the acceleration due to gravity (9.8 m/s²), and L is the length of the pendulum in meters.

Does the length of a simple pendulum affect its frequency?

Yes, the length of a simple pendulum has a direct impact on its frequency. The longer the pendulum, the longer it takes to complete one oscillation, resulting in a lower frequency. The shorter the pendulum, the shorter the time it takes to complete one oscillation, resulting in a higher frequency.

How does gravity affect the frequency of a simple pendulum?

Gravity plays a significant role in determining the frequency of a simple pendulum. The higher the acceleration due to gravity, the faster the pendulum will swing and the higher its frequency will be. This is why the frequency of a pendulum will vary slightly depending on its location on Earth, where the acceleration due to gravity may differ slightly.

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