SCIENCE
Complete the following practice problems.You must show all the work outlined.
______________________________
[tex]\large \mathbb{PROBLEM:}[/tex]
1. A wave with a frequency of 11 Hz has a wavelength of 4 meters. At what speed will this wave travel?
[tex]\large \mathbb{SOLUTION:}[/tex]
[tex]\small \tt{GIVEN}[/tex]
- Frequency (f) = 11 Hz
- Wavelength (λ) = 4m.
- Speed (v) = ?
[tex]\small \tt{COMPUTE}[/tex]
To get the speed of wave travel you need to multiply frequency from the given wavelength
- V = (λ)(f)
- V = (4m)*(11Hz)
- V = (4m)*(11s¹)
- V = 44 m/s
[tex]\large \mathbb{ANSWER:}[/tex]
Therefore the speed of wave travel is 44 m/s.
______________________________
[tex]\large \mathbb{PROBLEM:}[/tex]
2. The speed of a wave is 50 m/sec. If the wavelength of the wave is 0.7 meters, what is the frequency of the wave?
[tex]\large \mathbb{SOLUTION:}[/tex]
[tex]\small \tt{GIVEN}[/tex]
- Speed (v) = 50 m/s
- Wavelength (λ) = 0.7 m
- Frequency (f) = ?
[tex]\small \tt{COMPUTE}[/tex]
In getting the frequency of the following wave you need to divide the speed of wave from the given wavelength of the wave.
- F = [tex]\large \sf \frac{v} {λ}[/tex]
- F = [tex]\large \sf \frac{50m/s}{0.7m}[/tex]
- F = 71.43s ¹
- F = 71.43Hz
[tex]\large \mathbb{ANSWER:}[/tex]
Hence the frequency of the wave is 71.43 Hz.
______________________________
[tex]\large \mathbb{PROBLEM:}[/tex]
3. A wave traveling at 250 m/sec has a wavelength of 2.3 meters. What is the frequency of this wave?
[tex]\large \mathbb{SOLUTION:}[/tex]
[tex]\small \tt{GIVEN}[/tex]
- Speed (v) = 250 m/s
- Wavelength ( λ ) = 2.3 m
- Frequency (f) = ?
[tex]\small \tt{COMPUTE}[/tex]
In getting the frequency of the following wave you need to divide the speed of wave from the given wavelength of the wave.
- F = [tex]\large \sf \frac{v}{λ}[/tex]
- F = [tex]\large \sf \frac{250m/s}{2.3m}[/tex]
- F = 108.70s ¹
- F = 108.70Hz
[tex]\large \mathbb{ANSWER:}[/tex]
Hence the frequency of the wave is 108.70Hz.
[tex]\: \: \:[/tex]
^^
