V=IR
I=V/R
R=V/I
these are the realations of voltage ,resistance , and current .
Answer:
a) τmax = 586.78 P.S.I.
b) σmax = 15942.23 P.S.I
Explanation:
D = 3.81 in
d = 3.24 in
P = 930 lb
L = 3.7 ft = 44.4 in
a) The maximum horizontal shear stress can be obtained as follows
τ = V*Q / (t*I)
where
V = P = 930 lb
Q = (2/3)*(R³- r³) = (1/12)*(D³- d³) = (1/12)*((3.81 in)³- (3.24 in)³)
⇒ Q = 1.7745 in³
t = D - d = 3.81 in - 3.24 in = 0.57 in
I = (π/64)*(D⁴-d⁴) = (π/64)*((3.81 in)⁴- (3.24 in)⁴) = 4.9341 in⁴
then
τ = (930 lb)*(1.7745 in³) / (0.57 in*4.9341 in⁴)
⇒ τmax = 586.78 P.S.I.
b) We can apply the following equation in order to get the maximum tension bending stress in the pipe
σmax = Mmax *y / I
where
Mmax = P*L = 930 lb*44.4 in = 41292 lb-in
y = D/2 = 3.81 in /2 = 1.905 in
I = 4.9341 in⁴
then
σmax = (41292 lb-in)*(1.905 in) / (4.9341 in⁴) = 15942.23 P.S.I
<span>There would be significantly more CO2 in the atmosphere because plants take in CO2 during photosynthesis and fix the carbon into glucose.</span>
Answer: 22.5 km
Explanation: Solution:
v=d/t
Derive to find d
d= vt
= 45 km/h x 0.5 h
= 22.5 km
Cancel hours and the remaining unit is in km.
Answer:
In a nutshell, units of A and B are ![\frac{1}{[l]^{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Bl%5D%5E%7B2%7D%7D)
and ![\frac{[l]}{[t]}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Bl%5D%7D%7B%5Bt%5D%7D)
, respectively.
Explanation:
From Dimensional Analysis we understand that 
and 
have length units (![[l]](https://tex.z-dn.net/?f=%5Bl%5D)
) and 
have time units (![[t]](https://tex.z-dn.net/?f=%5Bt%5D)
). Then, we get that:
![[l] = A\cdot [l]^{3}](https://tex.z-dn.net/?f=%5Bl%5D%20%3D%20A%5Ccdot%20%5Bl%5D%5E%7B3%7D)
(Eq. 1)
![[l] = B\cdot [t]](https://tex.z-dn.net/?f=%5Bl%5D%20%3D%20B%5Ccdot%20%5Bt%5D)
(Eq. 2)
Now we finally clear each constant:
![A = \frac{[l]}{[l]^{3}}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B%5Bl%5D%7D%7B%5Bl%5D%5E%7B3%7D%7D)
![A = \frac{1}{[l]^{2}}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1%7D%7B%5Bl%5D%5E%7B2%7D%7D)
![B = \frac{[l]}{[t]}](https://tex.z-dn.net/?f=B%20%3D%20%5Cfrac%7B%5Bl%5D%7D%7B%5Bt%5D%7D)
In a nutshell, units of A and B are and , respectively.
