Answer:
τ = 132.773 lb/in² = 132.773 psi
Explanation:
b = 12 in
F = 60 lb
D = 3.90 in (outer diameter) ⇒ R = D/2 = 3.90 in/2 = 1.95 in
d = 3.65 in (inner diameter) ⇒ r = d/2 = 3.65 in/2 = 1.825 in
We can see the pic shown in order to understand the question.
Then we get
Mt = b*F*Sin 30°
⇒ Mt = 12 in*60 lb*(0.5) = 360 lb-in
Now we find ωt as follows
ωt = π*(R⁴ - r⁴)/(2R)
⇒ ωt = π*((1.95 in)⁴ - (1.825 in)⁴)/(2*1.95 in)
⇒ ωt = 2.7114 in³
then the principal stresses in the pipe at point A is
τ = Mt/ωt ⇒ τ = (360 lb-in)/(2.7114 in³)
⇒ τ = 132.773 lb/in² = 132.773 psi
<span>h ( t) = h(1 sec) = -16t^2 + 541
so h (2 sec) = -16*(2)^2 + 541 = -64 + 541 = <span>477 ft
Therefore, </span></span>the height of the rock after 2 seconds is 477 feet.
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Coastal erosion has depleted a large portion of South Louisiana's wetlands along the coastline in swamps and marshes mainly due to storm surges. But other factors also contributed to this erosion. Canals and waterways dug through the marshes and swamps for the oil industry is one factor. Man-made levees erected to provide protection to residents living adjacent to the river is another major cause. Large scale logging especially in the early 1900's also damaged the wetlands.
While Jane is running has a kinetic energy, which is Ek = 1/2*m*v^2 where m is mass and v is velocity When she grabs a vine, she is going to change the kinetic energy to potential energy.
We know that potential energy is given by Ep = m*g*h where m is mass, g is gravity constant and h is height
So while running the kinetic energy is Ek = 1/2 * m * 5.2^2 = 13.52*m
Then all that energy is used to swing upward and gain potential energy
Ep = m*g*h = Ek = 13.52*m
m*9.8*h = 13.52*m
h = 13.52/9.8 = 1.38 meters
So Jane will swing 1.38 meters upward
Remote sensing is used in numerous fields, including geography<span> and most Earth Science disciplines.</span><span> It also has military, intelligence, commercial, economic, planning, and humanitarian applications.</span>