1.calculate th speed of waves in water that are 0.4m apart and have a frequency of 2hz?
2. sound waves travel at approximately 340m/s what is the wavelength of a sound with a frequency of 20Hz? what is the wavelength of a sound with a frequency of 20 kHz?
3.a bat flying in a cave emits a sound pulse and receives its echo in one second. how far away is the cave wall?
To calculate the speed of waves, we can use the formula:
Speed = Frequency * Wavelength
1. To calculate the speed of waves in water that are 0.4m apart and have a frequency of 2Hz, we can substitute the values into the formula:
Speed = 2Hz * 0.4m = 0.8m/s
Therefore, the speed of the waves is 0.8m/s.
2. To calculate the wavelength of a sound wave with a frequency of 20Hz, we can rearrange the formula to:
Wavelength = Speed / Frequency
Substituting the values:
Wavelength = 340m/s / 20Hz = 17m
Therefore, the wavelength of the sound wave with a frequency of 20Hz is 17m.
For a sound wave with a frequency of 20kHz, we can use the same formula:
Wavelength = 340m/s / 20,000Hz = 0.017m
Therefore, the wavelength of the sound wave with a frequency of 20kHz is 0.017m.
3. To calculate the distance of the cave wall from the bat, we need to consider the time it takes for the sound pulse to travel to the cave wall and back.
The time taken for the sound pulse to travel to the cave wall and back is 1 second. Since the sound needs to travel both to the wall and back, the actual distance is half of the total distance traveled.
Distance = Speed * Time
Substituting the values:
Distance = 340m/s * 1s / 2 = 170m
Therefore, the cave wall is approximately 170 meters away from the bat.