Explanation:
1. Circumference of the handle (where the effort is applied) is pi times diameter.
C = πd
C = 1.5π inches
C ≈ 4.71 inches
2. Mechanical advantage is the ratio of distance in over distance out.
MA = din / dout
MA = 1.5 / 0.25
MA = 6
3. Mechanical advantage is the ratio of force out over force in.
MA = Fout / Fin
6 = Fout / 10 lb
Fout = 60 lb
Answer
given,
a = 2 t - 10
velocity function
we know,


integrating both side

v = t² - 10 t + C
at t = 0 v = 3
so, 3 = 0 - 0 + C
C = 3
Velocity function is equal to v = t² - 10 t + 3
Again we know,


integrating both side


now, at t= 0 s = -4

C = -4
So,

Position function is equal to 
Answer:
The inlet match number is 3.42.
Explanation:
Answer:
The rate of cell metabolism is limited by mass transfer since the value of maximum cell concentration obtained (38 g/l) is lower than 50 g l-1, the value planed.
Explanation:
Data
<u>kLa</u> = 0.17/s
<u>Solubility of oxygen</u> = 8 × 10^-3 kg / m^3
<u>The maximum specific oxygen uptake rate </u>= 4 mmol O2 / g h.
<u>Concentration of oxygen</u> = 0.5 × 10^-3 kg/ m^3
<u>**The maximum cell density</u> = 50 g/l
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The calculated maximum cell concentration:
xmax= kLa · CAL*/ qo
CAL* is the solubility of oxygen in the broth and qo is the specific oxygen uptake rate
Replacing the data given
xmax= ( 0.17/s ) · (8 × 10^-3 kg / m^3) / 4 mmol O2 / g h
4 mmol O2 / g h to kg O2/ g s

= 3.56 x 10^-3 kg O2/ g s
So then,
xmax= ( 0.17/s ) · (8 × 10^-3 kg / m^3) / 3.56 x 10^-3 o kg O2/ g s
xmax= 3. 8 x 10^4 g/ m^3 = 38 g/l
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Any fuel such as coal, petroleum (crude oil) or natural gas that has developed within the Earth over millions of years from the decayed remains of bacteria, plants or animals