Answer:
Explanation:
A turbine and generator produce the electricity
"A hydraulic turbine converts the energy of flowing water into mechanical energy. A hydroelectric generator converts this mechanical energy into electricity.
Stephen`s Law:
P = (Sigma) · A · e · T^4
P in = P out
e = 1 for blacktop;
1150 W = (Sigma) · T^4
(Sigma) = 5.669 · 10 ^(-8) W/m²K^4
T^4 = 1150 : ( 5.669 · 10^(-8) )
T^4 = 202.875 · 10^8
![T = \sqrt[4]{202.857 * 10 ^{8} }](https://tex.z-dn.net/?f=T%20%3D%20%20%5Csqrt%5B4%5D%7B202.857%20%2A%2010%20%5E%7B8%7D%20%7D%20)
T = 3.774 · 10² =
377.4 KAnswer: Equilibrium temperature is 377.4 K.
Answer:
The radius is ![r = 3.1905 \ m](https://tex.z-dn.net/?f=r%20%3D%203.1905%20%5C%20m)
Explanation:
From the question we are told that
The distance beneath the liquid is ![d = 2.70 \ m](https://tex.z-dn.net/?f=d%20%3D%20%202.70%20%5C%20m)
The refractive index of the liquid is ![n_i = 1.31](https://tex.z-dn.net/?f=n_i%20%20%3D%20%201.31)
Now the critical value is mathematically represented as
![\theta = sin ^{-1} [\frac{1}{n_i} ]](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%20sin%20%5E%7B-1%7D%20%5B%5Cfrac%7B1%7D%7Bn_i%7D%20%5D)
substituting values
![\theta = sin ^{-1} [\frac{1}{131} ]](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%20sin%20%5E%7B-1%7D%20%5B%5Cfrac%7B1%7D%7B131%7D%20%5D)
![\theta = 49.76^o](https://tex.z-dn.net/?f=%5Ctheta%20%20%3D%20%2049.76%5Eo)
Using SOHCAHTOA rule we have that
![tan \theta = \frac{ r}{d}](https://tex.z-dn.net/?f=tan%20%5Ctheta%20%3D%20%20%5Cfrac%7B%20r%7D%7Bd%7D)
=> ![r = d * tan \theta](https://tex.z-dn.net/?f=r%20%3D%20%20d%20%2A%20tan%20%5Ctheta)
substituting values
![r = 2.7 * tan (49.76)](https://tex.z-dn.net/?f=r%20%3D%20%202.7%20%2A%20tan%20%2849.76%29)
![r = 3.1905 \ m](https://tex.z-dn.net/?f=r%20%3D%203.1905%20%5C%20m)
Answer:
t₂ = 3.89 s
Explanation:
given,
speed of car = 23 m/s
speed of motorcycle = 23 m/s
after time of 4 s distance between them is equal to = 53 m
motorcycle accelerates at = 7 m/s
time taken to catch up with car = ?
let t₂ be the time in which motorcycle catches car.
distance traveled by car in t₂ s
d = 23 t₂ + 53
distance traveled by motorcycle
using equation of motion
![s = ut + \dfrac{1}{2}at^2](https://tex.z-dn.net/?f=s%20%3D%20ut%20%2B%20%5Cdfrac%7B1%7D%7B2%7Dat%5E2)
![s = 23 t_2 + \dfrac{1}{2}\times 7 \times t_2^2](https://tex.z-dn.net/?f=s%20%3D%2023%20t_2%20%2B%20%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%207%20%5Ctimes%20t_2%5E2)
now, equating both the distances
![23t_2 + 53= 23 t_2 + \dfrac{1}{2}\times 7 \times t_2^2](https://tex.z-dn.net/?f=23t_2%20%2B%2053%3D%2023%20t_2%20%2B%20%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%207%20%5Ctimes%20t_2%5E2)
![t_2^2 = 15.143](https://tex.z-dn.net/?f=t_2%5E2%20%3D%2015.143)
t₂ = 3.89 s
time taken by the motorcycle to catch the car is equal to 3.89 s