Frequency of a Pendulum: 3 Hz

In summary, the frequency of a pendulum refers to the number of oscillations it makes in a given amount of time, usually measured in hertz (Hz). It can be calculated using the formula f = 1/T, where f is the frequency in Hz and T is the period in seconds. 3 Hz is considered significant for most pendulums as it is their natural frequency, with a length of 1 meter completing 3 oscillations in one second. The length of a pendulum directly affects its frequency, with longer pendulums having a lower frequency and shorter pendulums having a higher frequency. The frequency of a pendulum can be changed by altering its length, mass, or gravitational force acting on it.
  • #1
Bogus_Roads
33
0

Homework Statement



In a swing cycle (pendulum), it takes a child 3 seconds to go from maximum velocity to minimum velocity. What is the frequency of the child's motion?

A.80 mHz
B.170 mHz
C.330 mHz
D. 3 Hz

Homework Equations



T=1/f



The Attempt at a Solution



This means it takes 3 second to complete half of the cycle, so 6 seconds to complete the entire cycle, and 1/6 cycles then happen per second. So confused. Millihertz?
 
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  • #2
mHz is 0.001 Hz.

ehild
 
  • #3
So B
 

1. What does the term "Frequency of a Pendulum" mean?

The frequency of a pendulum refers to the number of oscillations or back and forth swings it makes in a given amount of time. It is measured in hertz (Hz).

2. How is the frequency of a pendulum calculated?

The frequency of a pendulum can be calculated using the formula f = 1/T, where f is the frequency in Hz and T is the period in seconds.

3. Why is 3 Hz a significant frequency for a pendulum?

3 Hz is considered a significant frequency for a pendulum because it is the natural frequency at which most pendulums oscillate. This means that a pendulum with a length of 1 meter will complete 3 oscillations in one second.

4. How does the length of a pendulum affect its frequency?

The length of a pendulum directly affects its frequency. The longer the pendulum, the slower the oscillations and the lower the frequency. The shorter the pendulum, the faster the oscillations and the higher the frequency.

5. Can the frequency of a pendulum be changed?

Yes, the frequency of a pendulum can be changed by altering its length, mass, or gravitational force acting on it. For example, increasing the length of a pendulum will decrease its frequency, while increasing its mass will increase its frequency.

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