how far does a wave travel in one period?
one wavelength.
distance=veloicty*time=freq*wavelength*p0eriod
= 1/period*wavelength*period
= wavelength
To determine how far a wave travels in one period, we need to know the wave's velocity and frequency. The period of a wave is the time it takes to complete one full cycle.
The formula to calculate wave velocity is: v = λƒ,
where:
- v is the velocity of the wave,
- λ (lambda) is the wavelength of the wave,
- ƒ (frequency) is the number of cycles per second.
The formula to calculate the period of a wave is: T = 1/ƒ,
where:
- T is the period of the wave,
- ƒ (frequency) is the number of cycles per second.
To determine how far a wave travels in one period, we need to find the product of the wave's velocity and its period. By substituting the values from the formulas mentioned earlier, we can calculate the distance.
Let's say we have the frequency of the wave (ƒ) and the velocity (v). We can find the wavelength (λ) using the formula: λ = v/ƒ.
Next, we can find the period (T) using the formula: T = 1/ƒ.
Finally, we can calculate the distance the wave travels in one period (d) using the formula: d = vT.
Remember to express all the quantities in consistent units (e.g., meters, seconds) for accurate results.