Answer:
Power will be 0.2023 watt
And when amplitude is halved then power will be 0.0505 watt
Explanation:
We have given mass of the Piano wire m = 2.60 gram = 0.0026 kg
Length of wire l = 84 cm = 0.84 m
So mass density 
Tension in the wire T = 25 N
Frequency f = 120 Hz
So angular frequency 
And amplitude A = 1.6 mm = 0.0016 m
We have to find the generated power
Power is given by 
From the relation we can see that power 
So if amplitude is halved then power will be
times
So power will be equal to 
Answer:
The dimension of power is energy divided by the time or ![[ML^2T^-3]](https://tex.z-dn.net/?f=%5BML%5E2T%5E-3%5D)
Explanation:
Power =
We can derive Dimensions of Power from both formula.
Power = Force * Velocity
As,
Force = mass * acceleration
Therefore, Dimensions of
Force = ![[M]*[LT^-2] = [MLT^-2]](https://tex.z-dn.net/?f=%5BM%5D%2A%5BLT%5E-2%5D%20%3D%20%5BMLT%5E-2%5D)
Since,
Velocity = 
Now, Dimension of
Velocity = ![[LT^-1]](https://tex.z-dn.net/?f=%5BLT%5E-1%5D)
We have Both Dimensions,Now we can derive Dimensions Of Power,
Power = Force * Velocity
Power =![[MLT^-2] * [LT^-1]](https://tex.z-dn.net/?f=%5BMLT%5E-2%5D%20%2A%20%5BLT%5E-1%5D)
Power =![[ML^2T^-3]](https://tex.z-dn.net/?f=%5BML%5E2T%5E-3%5D)
To determine the maximum height for the projectile, we can use the timeless kinematics equation

and plug in what we know. For

, we know it is zero because at the highest location of flight, there is no vertical velocity. For

, we know it is

since the vertical component is the sine of the velocity. We need to solve for

, so it is left as-is. Since the only acceleration is

, we can substitute -9.81 into it. Solving for the equation yields a solution of 17.55 m for

.
Answer:
a.) 1.8 metre
b.) 66.67 Hz
Explanation: Given that the
Length L = 0.9m
Wavelength (λ) = 2L/n
Where n = number of harmonic
If n = 1, then
Wavelength (λ) = 2L = 2 × 0.9 = 1.8 m
b.)
If waves travel at a speed of 120m/s on this string, what is the frequency
associated with the longest wave (first harmonic)?
Given that V = 120 m/s
V = Fλ
But λ = 2L, therefore,
F = V/2L
F = 120/1.8
F = 66.67 Hz