Since no external torque is acting on the system you can use the conservation of angular momentum. I derived the final angular speed below and shown my work on how I did it. It’s now just a matter of plugging in the numbers and using correct placement of negative sign for direction of angular velocity. L in the picture stands for angular momentum. Hope it helps
Answer:
The wave velocity is 1.3736
Explanation:
A plot of inverse of wavelength (λ) versus frequency (f), can be analyzed as follows;
The vertical axis will be 1/λ and the horizontal axis will be f
slope = (Δ1/λ)/(Δf)
= 1/(fλ)
∴ 1/(fλ) = 0.728
From wave equation, V = fλ
where;
V is the wave velocity
f is the frequency of the wave
λ is the wavelength
1/(fλ) = 0.728
1/(V) = 0.728
V = (0.728)⁻¹
V = 1.3736
Therefore, the wave velocity is 1.3736
The period of any wave is the time it takes for its angle
to go from zero to 2pi .
The 'sin' function is a wave. The angle of this one is (8pi t).
When t=0, the angle is zero.
Wonderful.
Now, how long does it take for the angle to grow to 2pi ?
I*n other words, when is (8pi t) = 2pi ?
Divide each side by '2pi': . . . . . 4 t = 1
Divide each side by ' 4 ': . . . . . t = 1/4
And there you are. Every time 't' grows by 1/4, (8pi t) grows by 2pi.
So if you graph this simple harmonic motion described by 'd', you'll
see the graph wiggle up and down with a period of 1/4 .
Answer:
Explanation:
Pressure due to fluid is directly proportional to the depth of fluid, density of the fluid and the value of acceleration due to gravity.
P = h d g
Where, h is the depth, d be the density and g be the acceleration due to gravity.
If we talk about teh atmospheric pressure, the density of air goes on decreasing as we go up and up. o we cannot say that it is directly depends only on the depth of air, it also depends on the changing density of air.
Answer:10cm3
Explanation:Volume Al = (27g Al)/(2.70g/cm3 Al) = 10cm3 Al. So, 27g of Al has a volume of 10cm3. *
