A land owner donates three acres of land to the city. The mayor of the city uses one acre of the land for a playground and the r
2 answers:
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Step-by-step explanation:
4. So, total time traveled is calculated by adding travel times in both directions.
From Detroit to Chicago, Charlie flew 300 miles at 150 miles per hour speed. That means that he traveled:
t1 = s / v1
t1 = 300 miles / 150 miles per hour
t1 = 2 hours
Now, let's do the same for the opposite direction. Since it's the same distance, he again flew 300 miles, but the speed this time was 100 miles per hour:
t2 = s / v2
t2 = 300 miles / 100 miles per hour
t2 = 3 hours
So, total time he traveled was t1 + t2 = 2 hours + 3 hours = 5 hours.
For the trip distance we need to add distances in both directions. We already said that the distance is the same, so the total trip distance is 300 miles + 300 miles = 600 miles.
Displacement shows how far are the ending and the starting point. Since Charlie started from Detroit, flew to Chicago, and then came back to Detroit, his ending point is the same as the starting, so the displacement is 0.
We can calculate average speed by dividing total distance with the total travel time. We already found that the total trip distance was 600 miles, and the total travel time was 5 hours. That means that:
v(average) = s(total) / t (total)
v(average) = 600 miles / 5 hours
v (average) = 120 miles per hour
As for the average velocity, we calculate it by dividing displacement by total travel time. Since the displacement was 0, average velocity will also be 0.
5. From the left graph we see that the object went from 0 to 2 meters (it moved 2 meters) in 1 second. That means that its speed was:
v1 = s1 / t1
v1 = 2 meters / 1 second
v1 = 2m/s
From there, it went from 2 to 4 meters (it moved 2 meters) in the next 4 seconds. That means that its speed, during that interval, was:
v2 = s2 / t2
v2 = 2 meters / 4 seconds
v2 = 0.5 m/s
So, our graph will show, for the first second, velocity of 2m/s, and for the next four seconds, the velocity of 0.5 m/s.
6. Again, when calculating speed, we use the equation:
v = s / t
In this case, the distance (s) is 325 miles and the time (t) is 5 hours. So, the speed will be:
v = 325 miles / 5 hours
v = 65 mph
7. Now, we have the same distance (s) of 325 miles ant the speed (v) of 70 mph. We want know how long will the drive take:
t = s / v
t = 325 miles / 70 mph
t = 4.64 hours.
Answer:
please see answers are as in the explanation.
Step-by-step explanation:
As from the data of complete question,
The question also has 3 parts given as
<em>Part a: Sketch the deformed shape for α=0.03, β=-0.01 .</em>
Solution
As w is 0 so the deflection is only in the x and y plane and thus can be sketched in xy plane.
the new points are calculated as follows
Point A(x=0,y=0)
Point A'(x+<em>α</em><em>x,y+</em><em>β</em><em>y) </em>
Point A'(0+<em>(0.03)</em><em>(0),0+</em><em>(-0.01)</em><em>(0))</em>
Point A'(0<em>,0)</em>
Point B(x=1,y=0)
Point B'(x+<em>α</em><em>x,y+</em><em>β</em><em>y) </em>
Point B'(1+<em>(0.03)</em><em>(1),0+</em><em>(-0.01)</em><em>(0))</em>
Point <em>B</em>'(1.03<em>,0)</em>
Point C(x=1,y=1)
Point C'(x+<em>α</em><em>x,y+</em><em>β</em><em>y) </em>
Point C'(1+<em>(0.03)</em><em>(1),1+</em><em>(-0.01)</em><em>(1))</em>
Point <em>C</em>'(1.03<em>,0.99)</em>
Point D(x=0,y=1)
Point D'(x+<em>α</em><em>x,y+</em><em>β</em><em>y) </em>
Point D'(0+<em>(0.03)</em><em>(0),1+</em><em>(-0.01)</em><em>(1))</em>
Point <em>D</em>'(0<em>,0.99)</em>
So the new points are A'(0,0), B'(1.03,0), C'(1.03,0.99) and D'(0,0.99)
The plot is attached with the solution.
<em>Part b: Calculate the six strain components.</em>
Solution
Normal Strain Components
Shear Strain Components
Part c: <em>Find the volume change</em>
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<em>Also the change in volume is 0.0197</em>
For the unit cube, the change in terms of strains is given as
As the strain values are small second and higher order values are ignored so
As the initial volume of cube is unitary so this result can be proved.
Answer:
(3,0.5)
Step-by-step explanation:
The given system has equations:
Let us multiply the second equation by 4 and the first equation by 10.
We add both new equations to get:
Put x=3 into the first equation and solve for y.
The point of intersection is the solution to the system of equation which is (3,0.5)