Answer:
Flow Rate = 80 m^3 /hours (Rounded to the nearest whole number)
Explanation:
Given
- Hf = head loss
- f = friction factor
- L = Length of the pipe = 360 m
- V = Flow velocity, m/s
- D = Pipe diameter = 0.12 m
- g = Gravitational acceleration, m/s^2
- Re = Reynolds's Number
- rho = Density =998 kg/m^3
- μ = Viscosity = 0.001 kg/m-s
- Z = Elevation Difference = 60 m
Calculations
Moody friction loss in the pipe = Hf = (f*L*V^2)/(2*D*g)
The energy equation for this system will be,
Hp = Z + Hf
The other three equations to solve the above equations are:
Re = (rho*V*D)/ μ
Flow Rate, Q = V*(pi/4)*D^2
Power = 15000 W = rho*g*Q*Hp
1/f^0.5 = 2*log ((Re*f^0.5)/2.51)
We can iterate the 5 equations to find f and solve them to find the values of:
Re = 235000
f = 0.015
V = 1.97 m/s
And use them to find the flow rate,
Q = V*(pi/4)*D^2
Q = (1.97)*(pi/4)*(0.12)^2 = 0.022 m^3/s = 80 m^3 /hours
I think the correct answer from the choices listed above is the second option. The thermosphere has less air pressure than the mesosphere <span>because the farther away you are from the surface of the earth the lesser amount of gases present.</span>
Answer:
Explanation:
Voltage = 12 (the two batteries are in series and the voltage adds).
Resistance = 3 ohms
I = V / R
I = 12/3
I = 4 amperes.
None of the answers are the right ones. If there is a fifth one that reads 4 amperes then it is the correct answer.
Explanation:
- Initial velocity (u) = 10 m/s
- Final velocity (v) = 30 m/s
- Mass (m) = 2400 kg
- Force (F) = 12000 N
Let us find the time taken first.
→ F = ma
- Acceleration (a) = (v – u)/t
→ 12000 = 2400 × (30 – 10)/t
→ 12000 ÷ 2400 = (20)/t
→ 5 = 20/t
→ 5t = 20
→ t = 20 ÷ 5
→ <u>t</u><u> </u><u>=</u><u> </u><u>4</u><u> </u><u>seconds</u>
Now, find the acceleration.
→ a = (v – u)/t
→ a = (30 – 10)/4
→ a = 20/4
→ <u>a</u><u> </u><u>=</u><u> </u><u>5</u><u> </u><u>m</u><u>/</u><u>s²</u>
Now, by using the third equation of motion,
→ v² – u² = 2as
→ (30)² – (10)² = 2 × 5 × s
→ 900 – 100 = 10s
→ 800 = 10s
→ 800 ÷ 10 = s
→ <u>8</u><u>0</u><u> </u><u>m</u><u> </u><u>=</u><u> </u><u>s</u>
Therefore, distance travelled is 80 m.