Answer:
The velocity of the wave in the string is 7.43m/s
Step-by-step explanation:
Step 1:
Data obtained from the question.
Length (L) = 3.75m
Number of oscillation (n) = 20
Time (t) = 6.73 secs
Step 2:
Determination of the wavelength of the wave. This is illustrated below:
Since the wave made three (3) loops, the length is given by:
L = 3λ/2
L is the length
λ is the wavelength
Thus, we can obtain the wavelength (λ) as follow:
From the question,
Length (L) = 3.75m
Wavelength (λ) =?
L = 3λ/2
3.75 = 3λ/2
Cross multiply to express in linear form
3λ = 3.75 x 2
Divide both side by the 3
λ = (3.75 x 2)/3
λ = 2.5m
Step 3:
Determination of the frequency of the wave. This is illustrated below:
The frequency is the number of oscillations made in 1 second. Thus it can be represented mathematically as:
Frequency (f) = number of oscillation (n)/ time (t)
f = n/t
Number of oscillation (n) = 20
Time (t) = 6.73 secs
Frequency (f) =?
f = n/t
f = 20/6.73
f = 2.97s^-1
Step 4:
Determination of the velocity of the wave.
Velocity is related to the wavelength and frequency by the following equation:
Velocity = wavelength x frequency
V = λf
Wavelength (λ) = 2.5m
Frequency (f) = 2.97s^-1
Velocity (V) =?
V = λf
V = 2.5 x 2.97
V = 7.43m/s
Therefore, the velocity of the wave in the string is 7.43m/s
Answer:
The velocity of the wave in the string is 7.43m/s
Step-by-step explanation:
Step 1:
Data obtained from the question.
Length (L) = 3.75m
Number of oscillation (n) = 20
Time (t) = 6.73 secs
Step 2:
Determination of the wavelength of the wave. This is illustrated below:
Since the wave made three (3) loops, the length is given by:
L = 3λ/2
L is the length
λ is the wavelength
Thus, we can obtain the wavelength (λ) as follow:
From the question,
Length (L) = 3.75m
Wavelength (λ) =?
L = 3λ/2
3.75 = 3λ/2
Cross multiply to express in linear form
3λ = 3.75 x 2
Divide both side by the 3
λ = (3.75 x 2)/3
λ = 2.5m
Step 3:
Determination of the frequency of the wave. This is illustrated below:
The frequency is the number of oscillations made in 1 second. Thus it can be represented mathematically as:
Frequency (f) = number of oscillation (n)/ time (t)
f = n/t
Number of oscillation (n) = 20
Time (t) = 6.73 secs
Frequency (f) =?
f = n/t
f = 20/6.73
f = 2.97s^-1
Step 4:
Determination of the velocity of the wave.
Velocity is related to the wavelength and frequency by the following equation:
Velocity = wavelength x frequency
V = λf
Wavelength (λ) = 2.5m
Frequency (f) = 2.97s^-1
Velocity (V) =?
V = λf
V = 2.5 x 2.97
V = 7.43m/s
Therefore, the velocity of the wave in the string is 7.43m/s
Step-by-step explanation:
