What is the basic formula for the harmonic of a standing wave
2 answers:
The basic formula for the harmonic of a standing wave, describing the relation between the length and the wavelength is,
<u>Explanation:</u>
Standing waves are produced if two waves of same frequencies interfere each other in such a way that it produce points that appears to be standing still in the medium.
On studying the wave patterns analytically, we see that there is a direct relationship between the length of the medium in which the wave pattern is seen and the wavelength of the waves.
With other experimental researches and studies, it has been concluded that the length of the medium that draws a string covered by a harmonic of a standing wave is equal to half of wavelength of the wave pattern i.e., the equation for the nth harmonic of a standing wave is,
Where,
L- Length of the string covered by the single loop of a complete wave
n- An integer representing the harmonic number
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- Time=5s
Now
For the second question
- Time=3s
Using 2nd equation of motion
Answer:
(a). The acceleration is 3.20 m/s².
(b). The amount of work done by each force is 19.2 J.
(c). The total work done on the block is 19.2 J.
(d). The final speed of the block is 6.26 m/s.
Explanation:
Given that,
Mass of block = 3 kg
Distance = 2 m
Angle = 30°
Coefficient of kinetic friction = 0.20
(a). We need to calculate the acceleration
Using balance equation of force
Put the value into the formula
The acceleration is 3.20 m/s².
(b). We need to calculate the amount of work done by each force
Using formula of work done
Normal force is
So due to this the net force is zero then the no work done by reaction force.
By another force,
Put the value into the formula
The amount of work done by each force is 19.2 J.
(c). We need to calculate the total work done on the block
The total work done on the block is 19.2 J.
(d). We need to calculate the final speed of the block
Using equation of motion
Put the value into the formula
The final speed of the block is 6.26 m/s.
Hence, This is the required solution.