A cantilever hollow circular bar is 1.5 m long, 5 mm thick and with outside diameter of 75 mm. It is subjected to a torque of 3 kN.m at its free end. What is the resulting angle of twist (degrees) of the bar. G = 78 GPa.
1. A cantilever hollow circular bar is 1.5 m long, 5 mm thick and with outside diameter of 75 mm. It is subjected to a torque of 3 kN.m at its free end. What is the resulting angle of twist (degrees) of the bar. G = 78 GPa.
Answer:
The resulting angle of twist is 0.077 radians
Explanation:
In this problem, we will use the concept similar to elastic deformation which is the deformation due to torsion like twisting.
The formula to be used is:
a. Φ = [tex]\frac{TL}{JG}[/tex]
b. J = π/32(D⁴ - d⁴)
where
Φ is the angle of twist, the unit is in radians, rad
T is the internal torque, the unit is in N·m
L is the length of the segment, the unit is in meter, m
J is the polar moment of inertia, the unit is in m⁴
D is the outside diameter, the unit is in meter, m
d is the inner diameter, the unit is in meter, m
G is the shear modulus, the unit is in GPa
Given information
L = 1.5 m
D = 75 mm = 0.075 m
d = 75 mm - 5 mm = 70 mm = 0.070 m
T = 3 kN
G = 78 GPa
Φ = ?
Solving the problem
a. Let us solve first the polar moment of inertia using the 2nd given formula
J = π/32(D⁴ - d⁴)
Then substitute the given data
J = π/32(0.075⁴ - 0.070⁴)
J = 7.49 x 10⁺⁷ m⁴
b. Now, let us solve for the angle of twist using the 1st given formula
Φ = [tex]\frac{TL}{JG}[/tex]
Then substitute the given data
Φ = [tex]\frac{(3x10^3N)(1.5m)}{(7.49x10^{-7})(78x10^9N/m^2)}[/tex]
Φ = 0.077 radians
Therefore, the resulting angle of twist of the bar is 0.077 radians.
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2. how can you make a thick iron bar thin
B po by hammering kasi po magiging flat po yung iron bar
Answer: heat up the iron, you can make it thin while it's hot
Explanation:
3. What do you thick made the choco mucho bar go soft?
Answer:
Temperaturethey get soft because of hot temperature and they got hard because its cold.
Hope this help :>
4. it has a length and width but no thickness? a. Angleb. Linec. Plane d. Point
Answer:
c. Plane
explanation:
Is an infinite set of points that creates a flat surface that extends without ending. It has length and width but no thickness
HOPE IT HELPS
Answer:
c.
Step-by-step explanation:
yan po yung Sagot
tama rin po yung ibang sumagot
thank you.
5. The amount (A) a bar will bend varies inversely as the width (w) if the length and thickness remain the same.
Answer:
mixture of posetive
1.space
2.away
3.distance
4.blank
5.sry
6. 1. It has no thickness, but its length extends infinitely to both directionsOPlanePointLineAngle
Answer:
Planeplane is a flat surface that contains infinitely many intersecting lines that extend forever in all directions. Think of a plane as a huge sheet of paper with no thickness that goes on forever. We can use point, line, and plane to define new terms.
7. this tool is usedmainly in cutting metals like plates, pipes,rods bars etc. but minimal thickness width and length?TLE Grade 8
Answer:Hack saw
Explanation:
8. •thickness of a coin •distance from school to church•angle formed by the hands of the clock-unit of measure-measuring instrument
Answer:
1.chemical
2.1km
3.1.3 and 2.5
9. 1.Which has no width, no length, and no thickness? Angle Line Plane Point 2.What undefined term will a railway represents? Angle Line Plane Point
Answer:
1:point
2:angle
Step-by-step explanation:
correct me if I'm wrong
Answer:
1. Point
POINT—a point in geometry is described ( but not defined) as a dimensionless location in space. A point has no width, depth, length, thickness-- no dimension at all.
2. Line
LINE—is defined as something that extends infinitely in either direction but has no width and is one dimensional while plane extends infinitely in two dimensions.
10. A rectangular bar made of aluminum is 0.9 m long, 0.15 m wide and 1.3 cm thick. If the current in the bus bar flows along its length, and the conductivity of the aluminum is 3.57 x 108 S/m. Calculate the bus bar resistance in µΩ
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11. Which has no width, no thickness and no lenght?•line•plane•angle•point
Answer:
D:point
Point is dot it's not having a line
Step-by-step explanation:
Hope it helps
Carry on Learning
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12. 8. Which of the following is a characteristic of wedge? a. Has thick base and sharp edge b. Composed of a straight bar c. Composed of a rigid bar d. Has fulcrum, load and effort
Answer:
A.
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13. how many bars of soap that is 2cm thick,5cm long and 6cm wide can be placed in a big box wich is 36cm wide, 50cm long and 24cm thick?
Answer:
360 cm long
Step-by-step explanation:
tama po yan ayan po sagot ko sa summative test ko po tama po
Answer:
720
Step-by-step explanation:
To find the number of soap bars there can be, we must first find the area of the rectangular bar of soap.
[tex]Area_{soap} = lwh \\ Area_{soap} = 5 × 6 × 2 \\ Area_{soap} = 60[/tex]
The area of the soap is 60 cm².
The next thing we do is to find the area of the box.
[tex]Area_{box} = lwh \\ Area_{box} = 50 × 36 × 24 \\ Area_{box} = 43200[/tex]
The area of the box is 43,200 cm².
The last step is to divide the area of the box by the area of a soap bar.
[tex]bars \: of \: soap = \frac{Area_{box}}{Area_{soap}} \\ bars \: of \: soap = \frac{43 200}{60} \\ \blue{bars \: of \: soap = 720}[/tex]
720 soap bars will fit in the box.
Hope this helps and #CarryOnLearning!
14. It has length but no width and no thickness. ANSWERS point,Line,plane,angle, protractor, acute, acute angle,plane,line
Answer:
Line
Step-by-step explanation:
A (straight) line has length but no width or thickness. A line is understood to extend indefinitely to both sides. It does not have a beginning or end. A line consists of infinitely many points.
15. 1. Is the cell, designated by a thick border, which will be affected when you type or edit data.a. Title bar b. Menu bar c. Toolbars d. Window
Answer:
c
Explanation:
pakitama nalang Kung mali
16. What is the edge of a cube whose volume is equal to that of a rectangular bar measuring 100 cm long, 5 cm wide and 2 cm thick?
Answer:
side length a = 4.6415888336128 m
face diagonal f = 6.5641978794547 m
solid diagonal d = 8.0394676876617 m
surface area S = 129.26608140191 m2
volume V = 100 m3
Explanation:
17. 2. Which of the following is a characteristic of wedge?A Has thick base and sharp edgeC. Composed of a straight barB. Has fulcrum, load and effortD. Composed of a rigid bar
Answer:
A. Has thick base and sharp edge
Explanation:
hope to help
18. A ray of light strikes a thick sheet of glass (n = 1.5) at an angle of 25° with the normal. Find the angle of the refracted ray within the glass with respect to the normal
Answer:
The in incident angle is 60 degrees. So reflected angle will also be 60 degrees.
To make the perpendicular make the refracted angle 30 degrees.
Then you can use the Snell's law.
Sin angle of incidence/ angle of refraction
Sin60゜/Sin30゜=√3
So the refractive index of the glass is √3
Explanation:
19. Is the cell, designated by a thick border, which will be affected when you type or edit dataa.Title barb.Menu bar c.toolbarsd.Window
active cell
Explanation:
is designeted by a thick border
20. It has no length, width and thickness. It shows exact location. A. point B. line C. plane D. angle
Answer:
A. point
Step-by-step explanation:
A. Point
A Point is a position in space. A point has no length or width or thickness. A point in geometry is represented by a dot.
21. 4. It has no length, width and thickness.a. Angleb. LineC. Plane
Answer:
b.line
Step-by-step explanation:
A point has no length or width or thickness. A point in geometry is represented by a dot. ... A (straight) line has length but no width or thickness. A line is understood to extend indefinitely to both sides.
Answer:
A C E G I K M O Q X U
Step-by-step explanation:
B D F H J L N P R T V
22. 3. It has no dimensions. It has no width length and thickness line angle pointA.LineB angleC.Point
Answer:
C.PointA point is a zero-dimensional object as it has no length, width or height. It has no size.Step-by-step explanation:
# i hope it helps[tex]\\ \green{BRITNEY}[/tex]
23. True of False 1. A point has no length, width or thickness2. A ray starts from a point and goes to infinity.3. A line segment has two endpoints4. Three or more points on the same line are said to be collinear.5. Congruent segments are segments with different length,6. Angle whose measure is exactly 180 degrees is a right angle.7. Intersecting lines do not cross each other.8. A horizontal bars is an example of an intersecting lines.9. An angle formed from the corner of a chalkboard is an acute angle.10. An angle whose measure is 75 degrees is an obtuse angle.
Answer:
true
true
true
false
false
true
false
false
true
false
24. It has no length,width,or thickness. ANSWERSpoint ,line, plane,angle, protractor, acute angle, segment, obtuse angle, plane, line
Answer:
point po ung answer
Step-by-step explanation:
Sana makatulong
25. _1. Which of the following statement is truea. Points has thickness but no length and width.b. Lines has length but no width and no thickness.c. Plane has width, length and thickness.d. Angles has no endpoints.
Answer:
b
Step-by-step explanation:
the rest are false except b.
26. A steel bar 50 mm in diameter and 2 m long is surrounded by a shell of a cast iron 5 mm thick. compute the load that will compress the combined bar a total of 0.8 mm in the length of 2 m. for steel, e
Answer:
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pa brainliest
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27. gold bar which is 2 cm long , 2 cm wide and 1 cm thick has a mass of 77.2 grams. What is its density?
Answer:
D= 19.3 g/cm³
Step-by-step explanation:
D= M/V
= 77.2 grams
______________
2cm × 2cm × 1cm
= 77.2 grams
_________
4cm³
= 19.3 g/cm³
28. how many bars of soap that is 2cm thick,5cm long and 6cm wide can be placed in a big box wich is 36cm wide, 50cm long and 24cm thick? A.420 B.360 C.280 D.140
Answer:
they are also the electromagnetic
29. which brush creates a varying thickness depending on the angles of the stock similar to a calligraphy pen
Answer:
These nibs are used with a pen nib holder, different from the ... Its water-based pigment ink is quick-drying, water-resistant, and lightfast ... have a special brush-shaped tip that let you create the thin and thick ... Another similar nib is E+M's gold nib, which shares the 512's ... Use the nib at a 45 degree angle.
Explanation:
Hope it helps
30. 5. Is an instrument for inking drawing. It is adjustable in order to produce thickness andthickness of linesa. parallel barb. pencilc. ruling pend. Scale
Answer:
B
Explanation:
