If we double the frequency of a vibrating object what happens to its period?
The period is the inverse of the frequency, so it would be reduced to half.
When the frequency of a vibrating object is doubled, its period is halved.
Period is the time taken for one complete cycle of vibration. It is the reciprocal of frequency, which is the number of cycles per second (measured in Hertz, or Hz).
So, if the frequency is doubled, it means that the object completes twice as many cycles in the same amount of time. Therefore, the period is halved because the time taken for one complete cycle is now divided by two.
To understand what happens to the period of a vibrating object when its frequency is doubled, let's first define these two terms:
- Frequency: The frequency of a vibrating object refers to the number of complete cycles or vibrations it makes in a given unit of time. It is measured in hertz (Hz), which represents the number of cycles per second.
- Period: The period of a vibrating object is the time it takes to complete one full cycle or vibration. It is typically measured in seconds.
Now, let's consider what happens when the frequency of a vibrating object is doubled:
When the frequency is doubled, it means that the object is vibrating with twice as many cycles or vibrations per unit of time. In other words, the number of cycles per second is now twice the original frequency.
So, to find out what happens to the period, we can use the formula:
Period = 1 / Frequency
Since we doubled the frequency, the new frequency is now twice the original value. Plugging this into the formula, we get:
New Period = 1 / (2 * Original Frequency)
Simplifying this expression, we find that:
New Period = Original Period / 2
Therefore, when the frequency of a vibrating object is doubled, the period is halved. In other words, the time it takes for one complete cycle or vibration is reduced by half.