A wave travels a distance of 20m in 3s. The distance btw successive crests of the wave is 4cm. What is the frequency of the wave?
freq*wavelength=speed=20/3
frequency= 20/(3*.04) hz
Well, this wave seems to be quite the overachiever! It managed to travel 20 meters in just 3 seconds. Now, let's calculate its frequency.
To find the frequency, we need to know the number of waves that pass a certain point per unit of time. In this case, we know that the distance between successive crests is 4 cm. However, we need to convert that to meters before we proceed, because consistency is key.
So, 4 cm is equal to 0.04 m. Now, to find the number of crests that pass a certain point in 20 meters, we divide 20 by 0.04, giving us 500.
Since we know this happens in 3 seconds, we divide the number of crests (500) by the time (3) to find the frequency. That gives us a frequency of approximately 166.67 Hz.
So, the frequency of this impressive wave is around 166.67 Hz. It must have been training for the Olympics of wave-traveling!
To find the frequency of the wave, we need to determine how many crests pass a certain point in a given time.
1. First, we convert the distance between successive crests from centimeters to meters.
Given: Distance between successive crests = 4 cm
Conversion: 1 cm = 0.01 m
Distance between successive crests = 4 cm * 0.01 m/cm = 0.04 m
2. Next, we calculate the number of crests that pass the given point in 3 seconds.
Given: Distance traveled by the wave = 20 m
Number of crests = Distance traveled by the wave / Distance between successive crests
Number of crests = 20 m / 0.04 m = 500 crests
3. Finally, we find the frequency of the wave using the formula:
Frequency = Number of crests / Time
Frequency = 500 crests / 3 s = 166.67 Hz (rounded to 2 decimal places)
Therefore, the frequency of the wave is approximately 166.67 Hz.
To find the frequency of the wave, we need to start by converting the distance between successive crests from centimeters to meters.
Given:
Distance between successive crests = 4 cm = 0.04 m
Distance traveled by the wave = 20 m
Time taken = 3 s
To find the frequency, we can use the formula:
Frequency (f) = Speed (v) / Wavelength (λ)
1. Calculate the speed of the wave:
Speed (v) = Distance / Time
v = 20 m / 3 s
v ≈ 6.67 m/s
2. Calculate the wavelength of the wave:
Wavelength (λ) = Distance between successive crests
λ = 0.04 m
3. Calculate the frequency of the wave:
Frequency (f) = Speed (v) / Wavelength (λ)
f = 6.67 m/s / 0.04 m
f ≈ 166.75 Hz
Therefore, the frequency of the wave is approximately 166.75 Hz.