How Does Frequency Matching Affect Swing Amplitude and Tuning Fork Vibrations?

[arnavchhabra]

1. choose one of the options to answer the following and please explain, thank you

Suppose a child's natural frequency of swinging is once each 4 seconds.
For maximum amplitude the man should push at a rate of once each

2 seconds 4 seconds 8 seconds

If the man in previous question pushes in the same direction twice as often, his pushes

will be effective will not be effective

because

the swing will be pushed twice as often in the right direction
every other push will oppose the motion of the swing

Based on this swing example, a 440 hz-tuning fork could NOT be forced into vibration by a sound of

220 hz 440 hz 880 hz



2. none



3. not yet

 

[jbsteele]

because the tuning fork will only vibrate at its own specific frequency, so a sound of 220 hz, 440 hz, or 880 hz will not cause it to vibrate.

 

[Moetasim]

, please provide more context

1. The correct answer is 2 seconds. This is because the man's pushes need to be timed with the child's natural frequency of swinging in order to increase the amplitude of the swing. Pushing at a rate of once every 2 seconds will match the child's frequency and result in maximum amplitude. Pushing at a rate of once every 4 seconds (the child's natural frequency) will maintain the amplitude, but will not increase it. Pushing at a rate of once every 8 seconds will actually decrease the amplitude as the man's pushes will be out of sync with the child's natural frequency.

2. The correct answer is "will be effective". This is because pushing the swing twice as often in the right direction will increase the amplitude of the swing. This is similar to the first question, where pushing at a rate of once every 2 seconds (twice as often as the child's natural frequency) will result in maximum amplitude.

3. Based on the swing example, a 440 hz-tuning fork could NOT be forced into vibration by a sound of 220 hz. This is because the sound wave frequency needs to match the natural frequency of the tuning fork in order to force it into vibration. In this case, the frequencies do not match and therefore the tuning fork will not vibrate. However, a sound of 880 hz could potentially force the tuning fork into vibration as it is an octave higher and has a frequency that matches the tuning fork's natural frequency.