A taut wire has a wave with a wavelength of 4.5 meters and a frequency of 100 hertz. What is the speed of the wave in the wire
A) 450 m/s
B) 4,500 m/s
C) 0.045 m/s
D) 22.2 m/s
I legit am still on this question on the test and have no clue :(
To find the speed of a wave, you can use the equation:
\[ v = \lambda \cdot f \]
Where:
v = speed of the wave
λ (lambda) = wavelength of the wave
f = frequency of the wave
In this case, the wavelength (λ) is given as 4.5 meters and the frequency (f) is given as 100 hertz.
Substituting these values into the equation:
\[ v = 4.5 \, m \cdot 100 \, Hz \]
Simplifying this calculation:
\[ v = 450 \, m/s \]
Therefore, the speed of the wave in the wire is 450 m/s.
So, the correct answer is A) 450 m/s
To find the speed of the wave in the wire, we can use the formula:
speed = frequency x wavelength
Given that the wavelength is 4.5 meters and the frequency is 100 hertz, we can substitute these values into the formula:
speed = 100 Hz x 4.5 meters
speed = 450 meters per second
Therefore, the correct answer is A) 450 m/s.