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mario62 [17]
2 years ago
12

A device is needed to accelerate a 3000 lb vehicle into a barrier with constant velocity to test its 5 mph bumpers. The vehicle

will start at rest, move forward, and have constant velocity for the last part of its motion before striking the barrier with the specified velocity.
Design a cam-follower system to do this. The vehicle will leave contact with your follower just prior to the crash.
Engineering
2 answers:
Alik [6]2 years ago
8 0

Answer:

The cam-follower system is designed such that the vehicle will move at a speed, v = \frac{Fgt}{W}

Explanation:

The vehicle starts at rest, u = 0 m/s

Some force, F, will be applied by the device on the truck

The force is given by the equation, F = ma

a = F/m..........(1)

The weight of the vehicle is given by W = mg

m = W/g.........(2)

Substituting equation (2) into (1)

a = F ÷ (W/g)

a = gF/W............(3)

The applied force makes the vehicle to move with constant velocity, v

From the equation of motion, v = u + at............(4)

v = 0 + (gF/W)t

v = \frac{Fgt}{W}

Arte-miy333 [17]2 years ago
5 0

Answer:

The device acceleration is

a = f/m = f/(w/g)=fg/w

The velocity v is

v= u +at

When u =o

v = at

Substitute the value of a

v = fgt/w

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Air entrainment is used in concrete to: __________.
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The answer is number 2) Increase the resistance of the concrete to freeze-thaw damage.

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2 years ago
A tank with some water in it begins to drain. The function v ( t ) = 46 − 3.5 t determines the volume of the water in the tank (
olchik [2.2K]

Answer with Explanation:

Part a)

The volume of water in the tank as a function of time is plotted in the below attached figure.

The vertical intercept of the graph is 46.

Part b)

The vertical intercept represents the volume of water that is initially present in the tank before draining begins.

Part c)

To find the time required to completely drain the tank we calculate the volume of the water in the tank to zero.

0=46-3.5t\\\\3.5=46\\\\\therefore t=\frac{46}{3.5}=13.143minutes

Part d)

The horizontal intercept represents the time it takes to empty the tank which as calculated above is 13.143 minutes.

7 0
3 years ago
Plot the function for . Notice that the function has two vertical asymptotes. Plot the function by dividing the domain of x into
elena-s [515]
This is a very very difficult one for me, let me get back to you with the proper answer.
8 0
3 years ago
(a) The lower yield point for an iron that has an average grain diameter of 1 x 10-2 mm is 230 MPa. At a grain diameter of 6 x 1
olya-2409 [2.1K]

Answer:

The answer is "4.35 \times 10^{-3}\  mm and 157.5 MPa".

Explanation:

In point A:

The strength of its products with both the grain dimension is linked to this problem. This formula also for grain diameter of 310 MPA is represented as its low yield point  

y =  yo + \frac{k}{\sqrt{x}}

Here y is MPa is low yield point, x is mm grain size, and k becomes proportionality constant.  

Replacing the equation for each condition:  

y = y_o + \frac{k}{\sqrt{(1 \times 10^{-2})}}\\\\\ \ \ \ \ \ \ 230 = yo + 10k\\\\ y = yo + \frac{k}{\sqrt{(6\times 10^{-3})}}\\\\275 = yo + 12.90k

People can get yo = 275 MPa with both equations and k= 15.5 Mpa mm^{\frac{1}{2}}.

To substitute the answer,  

310 = 275 + \frac{(15.5)}{\sqrt{x}}\\\\x = 0.00435 \ mm = 4.35 \times 10^{-3}\  mm

In point b:

The equation is \sigma y = \sigma 0 + k y d^{\frac{1}{2}}

equation is:

75 = \sigma o+4 ky \\\\175 = \sigma o+12 ky\\\\ky = 12.5 MPa (mm)^{\frac{1}{2}} \\\\ \sigma 0 = 25 MPa\\\\d= 8.9 \times 10^{-3}\\\\d^{- \frac{1}{2}} =10.6 mm^{-\frac{1}{2}}\\

by putting the above value in the formula we get the \sigma y value that is= 157.5 MPa

5 0
2 years ago
Using models helps scientists conduct research. How else can research using models save lives?
Nina [5.8K]

Answer: find the answer in the explanation.

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Some of the methods of science are hypothesis, observations and experiments.

Scientific research and findings cut across many areas and field of life. Field like engineering, astronomy and medicine e.t.c

Using models in research is another great method in which researchers and scientists can master a process of a system and predict how it works.

Wilbur and Orville Wright wouldn't have died if the first airplane built by these two wonderful brothers was first researched by using models and simulations before embarking on a test.

Modelling in science involves calculations by using many mathematical methods and equations and also by using many laws of Physics. In this present age, many of these are computerised.

In space science, it will save lives, time and money to first model and simulate if any new thing is discovered in astronomy rather than people going to the space by risking their lives.

Also in medicine, drugs and many medical equipment cannot be tested by using people. This may lead to chaos and loss of lives.

So research using models in astronomy, medicine, engineering and many aspects of science and technology can indeed save lives.

6 0
2 years ago
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