The period ( measured in s) is the amount of time is takes for the pendulum to make a single cycle, i.e. how long it takes to swing in both direction. The frequency (measured in Hz) is the inverse of the period, the number of cycles it completes in one second.
So long as you know one you can find the other by diving 1 by it. Period = 1 / frequency, and frequency = 1 / period
If the pendulum takes 2s in each direction, then it has a period of 4s. So the frequency = 1 / 4s = 0.25Hz
Answer:
27009.56 mm
Explanation:
Given:
Diameter of the aluminium alloy bar, d = 12.5 mm
Length of the bar, L = 27 m = 27 × 10³ mm
Tensile force, P = 3 KN = 3 × 10³ N
Elastic modulus of the bar, E = 69 GPa = 69 × 10³ N/mm²
Now,
for the uniaxial loading, the elongation or the change in length (δ) due to the applied load is given as:
![\delta=\frac{PL}{AE}](https://tex.z-dn.net/?f=%5Cdelta%3D%5Cfrac%7BPL%7D%7BAE%7D)
where, A is the area of the cross-section
![A=\frac{\pi d^2}{4}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%5Cpi%20d%5E2%7D%7B4%7D)
or
![A=\frac{\pi\times12.5^2}{4}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%5Cpi%5Ctimes12.5%5E2%7D%7B4%7D)
or
A = 122.718 mm²
on substituting the respective values in the formula, we get
![\delta=\frac{3\times10^3\times27\times10^3}{122.718\times69\times10^3}](https://tex.z-dn.net/?f=%5Cdelta%3D%5Cfrac%7B3%5Ctimes10%5E3%5Ctimes27%5Ctimes10%5E3%7D%7B122.718%5Ctimes69%5Ctimes10%5E3%7D)
or
δ = 9.56 mm
Hence, the length after the force is applied = L + δ = 27000 + 9.56
= 27009.56 mm
Answer:
![V_{c}=1.396x10^{-28} m^{3} /unit.cell](https://tex.z-dn.net/?f=V_%7Bc%7D%3D1.396x10%5E%7B-28%7D%20%20m%5E%7B3%7D%20%2Funit.cell)
Explanation:
z = number of atoms
M = Molar mass of zirconium
N = Avogadro’s number
Vc = volume of zirconium unit cell
d = density
![z=12x\frac{1}{6}+2x\frac{1}{2}+3=6](https://tex.z-dn.net/?f=z%3D12x%5Cfrac%7B1%7D%7B6%7D%2B2x%5Cfrac%7B1%7D%7B2%7D%2B3%3D6)
z = 6 atoms per unit cell
M = 91.224 g/mol
N = ![6.023x10^{23} atoms/mol](https://tex.z-dn.net/?f=6.023x10%5E%7B23%7D%20%20atoms%2Fmol)
d = ![6.51g/cm^{3}](https://tex.z-dn.net/?f=6.51g%2Fcm%5E%7B3%7D)
![V_{c}=\frac{zxM}{dxN}](https://tex.z-dn.net/?f=V_%7Bc%7D%3D%5Cfrac%7BzxM%7D%7BdxN%7D)
![V_{c}=\frac{6x(91.224g/mol)}{(6.51g/cm^{3}) x(6.023x10^{23}atoms/mol) }](https://tex.z-dn.net/?f=V_%7Bc%7D%3D%5Cfrac%7B6x%2891.224g%2Fmol%29%7D%7B%286.51g%2Fcm%5E%7B3%7D%29%20x%286.023x10%5E%7B23%7Datoms%2Fmol%29%20%7D)
![V_{c}=1.396x10^{-22} cm^{3} /unit.cell](https://tex.z-dn.net/?f=V_%7Bc%7D%3D1.396x10%5E%7B-22%7D%20%20cm%5E%7B3%7D%20%2Funit.cell)
![V_{c}=1.396x10^{-28} m^{3} /unit.cell](https://tex.z-dn.net/?f=V_%7Bc%7D%3D1.396x10%5E%7B-28%7D%20%20m%5E%7B3%7D%20%2Funit.cell)
The answer is D-all choices
Android provides a huge set of 2D-drawing APIs that allow you to create graphics.
Android has got visually appealing graphics and mind blowing animations.
The Android framework provides a rich set of powerful APIS for applying animation to UI elements and graphics as well as drawing custom 2D and 3D graphics.
<h3>Three Animation Systems Used In Android Applications:-</h3>
1. Property Animation
2. View Animation
3. Drawable Animation