Answer:
L' = 555.95 lb
Explanation:
Analyzing the given conditions in the question, we get
The safe load, L is directly proportional to width (w) and square of depth (d²)
also,
L is inversely proportional length (l) i.e L = k/l
combining the above conditions, we get an equation as:
L = k(wd²/l)
now, for the first case we have been given
w = 3 in
d = 6 in
l = 11 ft
L = 1213 lbs
thus,
1213 lb = k ((3 × 6²)/11)
or
k = 123.54 lbs/(ft.in³)
Now,
Using the calculated value of k to calculate the value of L in the second case
in the second case, we have
w = 6 in
d =3 in
l = 12 ft
Final Safe load L' = 123.54 × (6 × 3²/12)
or
L' = 555.95 lb
The load that a beam of the given dimensions can support is derived using a joint variation formula. The constant of variaiton is found using the given beam's characteristics, and then applied on the second beam's measurements to find its load. The result is approximately 2025 pounds.
The question is related to joint variation and its principles in mathematics. First, it's necessary to define the equation of the joint variation:
L = k*(w*d^2)/l
where L is the load, w is the width, d is the depth, l is the length, and k is the constant of proportionality. From the information given in the question, we can derive that k equals to 1213 * 11 / (3 * 6^2), which is approximately 135. Then, we substitue the values of the second beam into the equation, w = 6, d = 3, l = 12 and k = 135, to get the load L for the second beam, which equates to about 2025 pounds.
#SPJ6
c. air
b. water
d. opaque
Hey there the answer is medium
Answer:
The Earth would increase in volume
Explanation:
What would happen to Earth if ocean floor were created at divergent boundaries at a faster rate than it is destroyed at convergent boundaries?
Divergent boundaries are boundaries where plates pull away from each other, forming mild earthquakes and volcanoes as magma comes to the surface. Earthquakes are as a result of vibrations travelling within the earth or ocean floors . Volcanoes occur as a result of the eruption of molten magma from the ocean floor
In divergent boundaries, the plates pull away and and the weakened crust in between collapse leaving more space thereby increasing in volume.
Convergent boundaries are boundaries that pull into each other. mountain chains are formed as the two plates push into each other if they are of the same density.
Ionic solids, such as sodium chloride and nickel oxide, are used as building materials due to their strong bond and high melting points. They are rigid and brittle but can conduct electricity when molten or dissolved.
Ionic solids, such as sodium chloride and nickel oxide, are used as building materials. These solids are composed of positive and negative ions held together by electrostatic attraction. They have high melting points, are rigid and brittle, and do not conduct electricity in their solid state.
However, they conduct electricity when molten or dissolved. Many simple compounds formed by the reaction of a metallic element with a nonmetallic element are ionic. These are crystalline compounds composed of positively charged ions and negatively charged ions held together by electrostatic forces. They have high melting points and are typically brittle.
#SPJ6
"When The motional emf generated between the ends of the wire is e = 17745.1 V".
When Motional EMFs in the Earth’s weak magnetic occupation are not ordinarily very large, we would notice voltage along metal rods, Than such as a screwdriver, during ordinary motions. For illustration, a simple computation of the motional emf of a 1 m rod moving at 3. 0 m/s perpendiculars to the Earth’s field gives emf is = Bℓv
Then Length, l is = 4.32 x 10^4 m
Then speed, v is = 7.07 x 10^3 m/s
Now the magnetic field, B is = 5.81 x 10^-5 T
Now, The formula for the motion emf is given by
e is = B x v x l
e is = 5.81 x 10^-5 x 7.07 x 10^3 x 4.32 x 10^4
Therefore, e = 17745.1 V
Find more information about Motional emf generated here:
Answer:
Explanation:
Length, l = 4.32 x 10^4 m
speed, v = 7.07 x 10^3 m/s
magnetic field, B = 5.81 x 10^-5 T
The formula for the motion emf is given by
e = B x v x l
e = 5.81 x 10^-5 x 7.07 x 10^3 x 4.32 x 10^4
e = 17745.1 V