Answer:
D ≈ 8.45 m
L ≈ 100.02 m
Explanation:
Given
Q = 350 m³/s (volumetric water flow rate passing through the stretch of channel, maximum capacity of the aqueduct)
y₁ - y₂ = h = 2.00 m (the height difference from the upper to the lower channels)
x = 100.00 m (distance between the upper and the lower channels)
We assume that:
- the upper and the lower channels are at the same pressure (the atmospheric pressure).
- the velocity of water in the upper channel is zero (v₁ = 0 m/s).
- y₁ = 2.00 m (height of the upper channel)
- y₂ = 0.00 m (height of the lower channel)
- g = 9.81 m/s²
- ρ = 1000 Kg/m³ (density of water)
We apply Bernoulli's equation as follows between the point 1 (the upper channel) and the point 2 (the lower channel):
P₁ + (ρ*v₁²/2) + ρ*g*y₁ = P₂ + (ρ*v₂²/2) + ρ*g*y₂
Plugging the known values into the equation and simplifying we get
Patm + (1000 Kg/m³*(0 m/s)²/2) + (1000 Kg/m³)*(9.81 m/s²)*(2 m) = Patm + (1000 Kg/m³*v₂²/2) + (1000 Kg/m³)*(9.81 m/s²)*(0 m)
⇒ v₂ = 6.264 m/s
then we apply the formula
Q = v*A ⇒ A = Q/v ⇒ A = Q/v₂
⇒ A = (350 m³/s)/(6.264 m/s)
⇒ A = 55.873 m²
then, we get the diameter of the pipe as follows
A = π*D²/4 ⇒ D = 2*√(A/π)
⇒ D = 2*√(55.873 m²/π)
⇒ D = 8.434 m ≈ 8.45 m
Now, the length of the pipe can be obtained as follows
L² = x² + h²
⇒ L² = (100.00 m)² + (2.00 m)²
⇒ L ≈ 100.02 m
Answer:
A. The time taken for the car to stop is 3.14 secs
B. The initial velocity is 81.64 ft/s
Explanation:
Data obtained from the question include:
Acceleration (a) = 26ft/s2
Distance (s) = 256ft
Final velocity (V) = 0
Time (t) =?
Initial velocity (U) =?
A. Determination of the time taken for the car to stop.
Let us obtain an express for time (t)
Acceleration (a) = Velocity (V)/time(t)
a = V/t
Velocity (V) = distance (s) /time (t)
V = s/t
a = s/t^2
Cross multiply
a x t^2 = s
Divide both side by a
t^2 = s/a
Take the square root of both side
t = √(s/a)
Now we can obtain the time as follow
Acceleration (a) = 26ft/s2
Distance (s) = 256ft
Time (t) =..?
t = √(s/a)
t = √(256/26)
t = 3.14 secs
Therefore, the time taken for the car to stop is 3.14 secs
B. Determination of the initial speed of the car.
V = U + at
Final velocity (V) = 0
Deceleration (a) = –26ft/s2
Time (t) = 3.14 sec
Initial velocity (U) =.?
0 = U – 26x3.14
0 = U – 81.64
Collect like terms
U = 81.64 ft/s
Therefore, the initial velocity is 81.64 ft/s
Answer:
a. Wet, soft dough at 85 degrees Fahrenheit
Explanation:
Fermentation is an anaerobic process that transforms starches into simpler substances. The rising of dough is due to fermentation.
According to Harold McGee, 85°F (29°C) is the best temperature for fermenting bread dough. Temperatures below 85°F (29°C) take much longer to ferment, and temperatures higher than that result into unpleasant flavors in the dough.
Wet, soft dough is usually more preferable because it produces a softer bread.
Answer:
nope don't think so
Explanation:
the heat causes the molecules to move faster therefore expanding in watever it the air is in
