Answer:
T = 2.82 seconds.
The frequency ![\mathbf{f = 0.36 \ Hz}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%20%3D%200.36%20%5C%20Hz%7D)
Amplitude A = 25.5 cm
The maximum speed of the glider is ![\mathbf{v = 56.87 \ rad/s}](https://tex.z-dn.net/?f=%5Cmathbf%7Bv%20%3D%2056.87%20%5C%20rad%2Fs%7D)
Explanation:
Given that:
the time taken for 11 oscillations is 31 seconds ;
SO, the time taken for one oscillation is :
![T = \frac{31}{11}](https://tex.z-dn.net/?f=T%20%3D%20%5Cfrac%7B31%7D%7B11%7D)
T = 2.82 seconds.
The formula for calculating frequency can be expressed as :
![f = \frac{1}{T}](https://tex.z-dn.net/?f=f%20%3D%20%5Cfrac%7B1%7D%7BT%7D)
![f = \frac{1}{2.82}](https://tex.z-dn.net/?f=f%20%3D%20%5Cfrac%7B1%7D%7B2.82%7D)
![\mathbf{f = 0.36 \ Hz}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%20%3D%200.36%20%5C%20Hz%7D)
The amplitude is determined by using the formula:
![A = \frac{d}{2}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7Bd%7D%7B2%7D)
The limits that the spring makes the oscillations are from 10 cm to 61 cm.
The distance of the glider is, d = (61 - 10 )cm = 51 cm
Replacing 51 for d in the above equation
![A = \frac{51}{2}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B51%7D%7B2%7D)
A = 25.5 cm
The maximum speed of the glider is:
![v = A \omega](https://tex.z-dn.net/?f=v%20%3D%20A%20%5Comega)
where ;
![\omega = \frac{2 \pi}{T}](https://tex.z-dn.net/?f=%5Comega%20%3D%20%5Cfrac%7B2%20%5Cpi%7D%7BT%7D)
![\omega = \frac{2 \pi}{2.82}](https://tex.z-dn.net/?f=%5Comega%20%3D%20%5Cfrac%7B2%20%5Cpi%7D%7B2.82%7D)
![\omega = 2.23 \ rad/s](https://tex.z-dn.net/?f=%5Comega%20%3D%202.23%20%5C%20rad%2Fs)
![v = A \omega](https://tex.z-dn.net/?f=v%20%3D%20A%20%5Comega)
![v = 25.5 *2.23](https://tex.z-dn.net/?f=v%20%3D%2025.5%20%2A2.23)
![\mathbf{v = 56.87 \ rad/s}](https://tex.z-dn.net/?f=%5Cmathbf%7Bv%20%3D%2056.87%20%5C%20rad%2Fs%7D)
Answer:A) Risk(R)= $1000
B) There is justification for spending an additional cost of $100 to prevent a corrosion whose consequence in monetary terms is $1000
Explanation:R= Risk,
P=Probability of failure
C= Consequence of failure
Mathematically, R=P ×C
10 out of 1000 carbon-steal products failed
Probability of failure= 10/1000 =0.01
The consequence of failure by corrosion given in monetary term =$100,000
Risk of failure = 0.01 × $100,000
R=$1000
Answer:
Given the area A of a flat surface and the magnetic flux through the surface
it is possible to calculate the magnitude
.
Explanation:
The magnetic flux gives an idea of how many magnetic field lines are passing through a surface. The SI unit of the magnetic flux
is the weber (Wb), of the magnetic field B is the tesla (T) and of the area A is (
). So 1 Wb=1 T.m².
For a flat surface S of area A in a uniform magnetic field B, with
being the angle between the vector normal to the surface S and the direction of the magnetic field B, we define the magnetic flux through the surface as:
![\Phi=B\ A\ cos\theta](https://tex.z-dn.net/?f=%5CPhi%3DB%5C%20A%5C%20cos%5Ctheta)
We are told the values of
and B, then we can calculate the magnitude
![\frac{\Phi}{A}=B\ cos\theta](https://tex.z-dn.net/?f=%5Cfrac%7B%5CPhi%7D%7BA%7D%3DB%5C%20cos%5Ctheta)
Option C i.e scattering is the correct answer.
Scattering type of Polarization occurs when light strikes the atoms of a material.
Polarization is the process of transforming unpolarized light into polarized light. There are four methods of polarisation--Transmission, Refraction, Reflaction and Scattering.
Not sure but i will say D