Answer:
Alpha = ω^2 R where R is radius of blade
g = w^2 r where r is distance from center
ω^2 R = 11.5 ω^2 r
R / r = 11.5 / 9.8 = 1.17
Or r = .852 R
Since the angular acceleration depends on both R and ω it seems that one can only get r as it depends on R
Answer and Explanation:
Every lens have two focal points each focal point is present on the either side of the lens. In lenses when light comes from the infinite it passes through the focal point it is true for both converging as well as diverging lens. In mirror there is only one focal point as it one face is covered but in lens light can pass through side of the lens so it has two focal point
Answer:
The sum of the lengths of the sides is 2292 yards and the sum of the lengths of the triangle is 3056 yards
Explanation:
Since y represents the length of fence that is opposite (parallel) to the river and x represent the length of fence perpendicular to the river.
Therefore since we can use 3,056 yards of fencing
Side perpendicular to the river = x and,
Side opposite to the river = y = 3056 - 2x
The area of the rectangle formed (A) = Perpendicular side × Parallel side
∴ A = x(3056 - 2x) = 3056x - 2x²
A = 3056x - 2x²
To maximize the area, A' (dA/dx) = 0
∴ A' = 3056 - 4x = 0
3056 - 4x = 0
4x = 3056
x = 764 yards
y = 3056 - 2x = 3056 - 2(764) = 1528 yards.
Side perpendicular to the river = 764 yards and,
Side opposite to the river = 1528 yards
The sum of the lengths of the sides = 764 + 1528 = 2292 yard and the sum of the lengths of the triangle = 764 + 764 + 1528 = 3056 yards
Answer:
The water level will drop by about 1.24 cm in 1 day.
Explanation:
Here Mass flux of water vapour is given as
where
is the mass flux of the water which is to be calculated.
- D is diffusion coefficient which is given as
- l is the thickness of the film which is 0.15 cm thick.
is given as
In this
is the saturated water pressure, which is look up from the saturated water property at 20°C and 0.5 saturation given as 2.34 Pa
is the air pressure which is given as 0.5 times of
- R is the universal gas constant as
- T is the temperature in Kelvin scale which is
By substituting values in the equation
Converting into 
As 1 mole of water 18 
so
Putting this in the equation of mass flux equation gives
For calculation of water level drop in a day, converting mass flux as
So the water level will drop by about 1.24 cm in 1 day.
