The frequency of middle C on a typical musical instrument is Hz. What is the time for one complete oscillation? Strategy Both Parts 1 and 2 can be answered using the relationship between period and frequency. Solution for Part 1 Substitute 0. Discussion for Part 1 The frequency of sound found in Part 1 is much higher than the highest frequency that humans can hear and, therefore, is called ultrasound.
Check your Understanding Identify an event in your life such as receiving a paycheck that occurs regularly. Solution I visit my parents for dinner every other Sunday. If your heart rate is beats per minute during strenuous exercise, what is the time per beat in units of seconds? Find the frequency of a tuning fork that takes 2. A stroboscope is set to flash every 8. What is the frequency of the flashes? A tire has a tread pattern with a crevice every 2.
Each crevice makes a single vibration as the tire moves. What is the frequency of these vibrations if the car moves at Engineering Application. Each piston of an engine makes a sharp sound every other revolution of the engine. Licenses and Attributions.
CC licensed content, Shared previously. The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years. The period of orbit for the Earth around the Sun is approximately days; it takes days for the Earth to complete a cycle.
The period of a typical class at a high school might be 55 minutes; every 55 minutes a class cycle begins 50 minutes for class and 5 minutes for passing time means that a class begins every 55 minutes. The period for the minute hand on a clock is seconds 60 minutes ; it takes the minute hand seconds to complete one cycle around the clock. Frequency and period are distinctly different, yet related, quantities.
Frequency refers to how often something happens. Period refers to the time it takes something to happen. Frequency is a rate quantity. Period is a time quantity. As an example of the distinction and the relatedness of frequency and period, consider a woodpecker that drums upon a tree at a periodic rate. If the woodpecker drums upon a tree 2 times in one second, then the frequency is 2 Hz. Each drum must endure for one-half a second, so the period is 0.
If the woodpecker drums upon a tree 4 times in one second, then the frequency is 4 Hz; each drum must endure for one-fourth a second, so the period is 0. If the woodpecker drums upon a tree 5 times in one second, then the frequency is 5 Hz; each drum must endure for one-fifth a second, so the period is 0.
Do you observe the relationship? Mathematically, the period is the reciprocal of the frequency and vice versa. In equation form, this is expressed as follows. Since the symbol f is used for frequency and the symbol T is used for period, these equations are also expressed as:. The quantity frequency is also confused with the quantity speed. The speed of an object refers to how fast an object is moving and is usually expressed as the distance traveled per time of travel.
For a wave, the speed is the distance traveled by a given point on the wave such as a crest in a given period of time. So while wave frequency refers to the number of cycles occurring per second, wave speed refers to the meters traveled per second. A wave can vibrate back and forth very frequently, yet have a small speed; and a wave can vibrate back and forth with a low frequency, yet have a high speed.
Frequency and speed are distinctly different quantities. Wave speed will be discussed in more detail later in this lesson. Relationship between Period and frequency is as under : The frequency of a wave describes the number of complete cycles which are completed during a given period of time. A common unit of frequency is the Hertz, abbreviated as Hz. Related questions How do you find the period and frequency of a sine function? How does amplitude relate to the unit circle? How can amplitude be negative?
How do the frequency and period relate to each other?
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