Answer:
V = 125.7m/min
Explanation:
Given:
L = 400 mm ≈ 0.4m
D = 150 mm ≈ 0.15m
T = 5 minutes
F = 0.30mm ≈ 0.0003m
To calculate the cutting speed, let's use the formula :
![T = \frac{pi* D * L}{V*F}](https://tex.z-dn.net/?f=%20T%20%3D%20%5Cfrac%7Bpi%2A%20D%20%2A%20L%7D%7BV%2AF%7D%20)
We are to find the speed, V. Let's make it the subject.
![V = \frac{pi* D * L}{F*T}](https://tex.z-dn.net/?f=%20V%20%3D%20%5Cfrac%7Bpi%2A%20D%20%2A%20L%7D%7BF%2AT%7D%20)
Substituting values we have:
![V = \frac{pi* 0.4 * 0.15}{0.0003*5}](https://tex.z-dn.net/?f=%20V%20%3D%20%5Cfrac%7Bpi%2A%200.4%20%2A%200.15%7D%7B0.0003%2A5%7D%20)
V = 125.68 m/min ≈ 125.7 m/min
Therefore, V = 125.7m/min
Answer:
a) 2622.903 N/m^3
b) 1.38233
c)4.878811765
Explanation:
Find the void ratio using the formula:
![y = \frac{G_{s}*y_{w} + w*G_{s}*y_{w} }{1+e} ....... Eq1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7BG_%7Bs%7D%2Ay_%7Bw%7D%20%2B%20w%2AG_%7Bs%7D%2Ay_%7Bw%7D%20%7D%7B1%2Be%7D%20.......%20Eq1)
Here;
is specific gravity of soil solids
is unit weight of water = 998 kg/m^3
is the moisture content = 0.17
is the void ratio
is the unit weight of soil = 14.9KN/m^3
Saturation Ratio Formula:
![w*G_{s} = S*e ..... Eq2](https://tex.z-dn.net/?f=w%2AG_%7Bs%7D%20%3D%20S%2Ae%20%20.....%20Eq2)
S is saturation rate
Substitute Eq 2 into Eq 1
![y = \frac{(\frac{S*e}{w}) * y_{w} + S*e*y_{w} }{1+e}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B%28%5Cfrac%7BS%2Ae%7D%7Bw%7D%29%20%2A%20y_%7Bw%7D%20%2B%20S%2Ae%2Ay_%7Bw%7D%20%20%7D%7B1%2Be%7D)
![14900 = \frac{3522.352941*e + 598.8*e }{1+e} = \frac{4121.152941*e}{1+e}\\\\ e= 1.38233](https://tex.z-dn.net/?f=14900%20%3D%20%5Cfrac%7B3522.352941%2Ae%20%2B%20598.8%2Ae%20%7D%7B1%2Be%7D%20%3D%20%5Cfrac%7B4121.152941%2Ae%7D%7B1%2Be%7D%5C%5C%5C%5C%20e%3D%201.38233)
Specific gravity of soil solids
![G_{s} = \frac{S*e}{w} = \frac{0.6*1.38233}{0.17} = 4.878811765](https://tex.z-dn.net/?f=G_%7Bs%7D%20%3D%20%5Cfrac%7BS%2Ae%7D%7Bw%7D%20%3D%20%5Cfrac%7B0.6%2A1.38233%7D%7B0.17%7D%20%3D%204.878811765)
Saturated Unit Weight
![y_{s} = \frac{(G_{s} + e)*y_{w} }{1+e} \\=\frac{(4.878811765 + 1.38233)*998 }{1+1.38233}\\\\= 2622.902571 N/m^3](https://tex.z-dn.net/?f=y_%7Bs%7D%20%3D%20%5Cfrac%7B%28G_%7Bs%7D%20%2B%20e%29%2Ay_%7Bw%7D%20%20%7D%7B1%2Be%7D%20%5C%5C%3D%5Cfrac%7B%284.878811765%20%2B%201.38233%29%2A998%20%20%7D%7B1%2B1.38233%7D%5C%5C%5C%5C%3D%202622.902571%20N%2Fm%5E3)
Answer:
P = 80.922 KW
Explanation:
Given data;
Length of load arm is 900 mm = 0.9 m
Spring balanced read 16 N
Applied weight is 500 N
Rotational speed is 1774 rpm
we know that power is given as
![P = T\times \omega](https://tex.z-dn.net/?f=%20P%20%3D%20T%5Ctimes%20%5Comega)
T Torque = (w -s) L = (500 - 16)0.9 = 435.6 Nm
angular speed
Therefore Power is
![P =\frac{435.6 \time 2 \pi \times 1774}{60} = 80922.65 watt](https://tex.z-dn.net/?f=P%20%3D%5Cfrac%7B435.6%20%5Ctime%202%20%5Cpi%20%5Ctimes%201774%7D%7B60%7D%20%3D%2080922.65%20%20watt)
P = 80.922 KW
Answer:
c) 1.75 g/cm³
Explanation:
Given that
Radii of the A ion, r(c) = 0.137 nm
Radii of the X ion, r(a) = 0.241 nm
Atomic weight of the A ion, A(c) = 22.7 g/mol
Atomic weight of the X ion, A(a) = 91.4 g/mol
Avogadro's number, N = 6.02*10^23 per mol
Solution is attached below
“How old are the legos” 89 years old.
“Who created them?” Ole Kirk Christiansen.
“Why did they created them?” As a you man, Christiansen turned his love of whittling and playing with wood into a Business and, in 1916, he opened his own shop. Since times were so hard, Christiansen made the hard decision to use his wood to create inexpensive goods that might actually sell. Among them were Cheap toys.
Hope this helps•
Bye~
•Kate•