WILL mark brainliest but plz show steps>> Student Create a standing wave with 3 loops on a slinky 3.75M long. They time 20 oscillations in 6.73s. what is the velocity of the waves in string?
Answers
The velocity of the wave in the string is 7.43 m/s
Step-by-step explanation:
Given data:
- Length (L) = 3.75 m
- Number of oscillation (n) = 20
- Time (t) = 6.73 secs
Determination of the wavelength of the wave.
Since the wave made three (3) loops the length is given by:
L = 3 λ / 2
L is the length
λ is the wavelength
Thus, we can obtain the wavelength (λ) as follow:
From the question:
Length (L) = 3.75 m
Wavelength (λ) =?
L = 3 λ / 2
3.75 = 3 λ / 2
Cross multiply to express in linear form
3 λ = 3.75 x 2
Divide both side by the 3
λ = (3.75 x 2)/3
λ = 2.5 m
Frequency (f) = number of oscillation (n) / time (t)
f = n / t
Number of oscillations (n) = 20
Time (t) = 6.73 secs
Frequency (f) =?
f = n / t
f = 20 / 6.73
f = 2.97 s^-1
Velocity = wavelength x frequency
V = λf
Wavelength (λ) = 2.5 m
Frequency (f) = 2.97 s^-1
Velocity (V) = ?
V = λ f
V = 2.5 x 2.97
V = 7.43 m/s
Thus the velocity of the wave in the string is 7.43 m/s
Answer :-
The velocity of the wave in the string is 7.43 m/s
Step-by-step explanation:
Given data:
- Length (L) = 3.75 m
- Number of oscillation (n) = 20
- Time (t) = 6.73 secs
Determination of the wavelength of the wave.
Since the wave made three (3) loops the length is given by:
L = 3 λ / 2
L is the length
λ is the wavelength
Thus, we can obtain the wavelength (λ) as follow:
From the question:
Length (L) = 3.75 m
Wavelength (λ) =?
L = 3 λ / 2
3.75 = 3 λ / 2
Cross multiply to express in linear form
3 λ = 3.75 x 2
Divide both side by the 3
λ = (3.75 x 2)/3
λ = 2.5 m
Frequency (f) = number of oscillation (n) / time (t)
f = n / t
Number of oscillations (n) = 20
Time (t) = 6.73 secs
Frequency (f) =?
f = n / t
f = 20 / 6.73
f = 2.97 s^-1
Velocity = wavelength x frequency
V = λf
Wavelength (λ) = 2.5 m
Frequency (f) = 2.97 s^-1
Velocity (V) = ?
V = λ f
V = 2.5 x 2.97
V = 7.43 m/s
Thus the velocity of the wave in the string is 7.43 m/s