This PPT covers curvilinear motion of an object in a very systematic and lucid manner. I hope this PPT will be helpful for instructor's as well as students.
This PPT covers curvilinear motion of an object in a very systematic and lucid manner. I hope this PPT will be helpful for instructor's as well as students.
Lab 2/Lab 2- Kinematics.pdf
1/4/2017 Lab 2: Kinematics
https://moodle.straighterline.com/pluginfile.php/72219/mod_resource/content/17/CourseRoot/html/lab004s001.html 1/20
Learning Objec뙕ves
Disᣊ�nguish between scalar and vector quanᣊ�ᣊ�es
Apply kinemaᣊ�c equaᣊ�ons to 1‐D and projecᣊ�le moᣊ�on
Predict posiᣊ�on, velocity, and acceleraᣊ�on vs. ᣊ�me graphs
Calculate average and instantaneous velocity or acceleraᣊ�on
Determine that x and y components are independent of each other
Relate velocity, radius, and ᣊ�me period to uniform circular moᣊ�on.
Explain the direcᣊ�on of acceleraᣊ�on during uniform circular moᣊ�on
1‐D Kinema뙕cs
1‐D kinemaᣊ�cs occurs when an object travels in
one dimension and can be described using words,
equaᣊ�ons and graphs. Linear mo뙕on describes
how an object will move horizontally or verᣊ�cally
with constant acceleraᣊ�on, how an object will
1/4/2017 Lab 2: Kinematics
https://moodle.straighterline.com/pluginfile.php/72219/mod_resource/content/17/CourseRoot/html/lab004s001.html 2/20
Figure 1: Pool balls in moᾷon demonstrate
1‐D kinemaᾷcs.
Figure 2: Line secant to the path of the
object.
travel if dropped from the side of a cliff, and the
path it will follow if thrown straight up into the air.
Keep in mind the moᣊ�on of an object is relaᣊ�ve to
the viewer. Even though you do not feel like you
are in moᣊ�on right now, you are on planet earth
that has rotaᣊ�onal moᣊ�on in addiᣊ�on to orbital
moᣊ�on around the sun. In almost all cases here
moᣊ�on will be relaᣊ�ve to the Earth.
Scalar and Vector Quan뙕뙕es
In physics, quanᣊ�ᣊ�es can be scalar or vector. The
difference between the two lies in direcᣊ�on.
Scalar quanᣊ�ᣊ�es include magnitudes, which are numerical measurements. The distance an
object has traveled or the speed of an object is a scalar quanᣊ�ty. Scalars do not take direcᣊ�on
into consideraᣊ�on and can be described with only a number and a unit. For example,
somebody might say the temperature outside is 70°F. Seventy is the magnitude, and
Fahrenheit is the unit; there is no direcᣊ�on associated with the quanᣊ�ty. Vector quanᣊ�ᣊ�es, on
the other hand, include magnitude and direcᣊ�on. The displacement from an object's iniᣊ�al
posiᣊ�on, velocity, and acceleraᣊ�on are vector quanᣊ�ᣊ�es. The direcᣊ�on of vectors can be
described as being in the posiᣊ�ve direcᣊ�on, in the negaᣊ�ve direcᣊ�on, north, south, east, west,
leĀ, right, up, down, etc. One might describe an airplane's velocity as 450 miles per hour due
west where both magnitude and direcᣊ�on are given. It is important to disᣊ�nguish between
scalar and vector quanᣊ�ᣊ�es when trying to understand kinemaᣊ�cs.
Speed, Velocity, and Accelera뙕on
You may be familiar with speed outside of the physics classroom. When you drive in a car you
are traveling a distance over a certain amount of ᣊ�me: a speed. How then is velocity different
from speed? Velocity (v) is a vector quanᣊ�ty described as the rate at which an object's
posiᣊ�on changes divided by the ᣊ�me the ...
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7. Speed The rate at which an object changes the distance it has travelled is called its speed . For a complete journey the speed of an object can be calculated by dividing the total distance covered by the time taken to complete the journey- Average Speed = Total Distance / Time Taken metres/second = metre / second Ferrari 360 Spider speed distance time
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25. Distance- Time Graphs Distance (m) Dist. Straight line, positive correlation, both increase at the same rate
26. Distance- Time Graphs Distance (m) Dist. Curves up, as seconds pass, the car covers more distance than the second before
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32. The change in y is the distance the object has travelled The change in x is the time the object was travelling Speed equals distance divided by time, therefore the gradient of the graph is the same as the speed of the object
33. What is the gradient, and hence the speed of the car? Change in y = Distance travelled = 800 – 200 = 600 m Change in x = Time taken = 36 - 16 = 20 s Gradient = Speed = Distance / Time = 600 / 20 = 30 m/s
42. Time (s) Velocity (m/s) 4 10 Velocity = Displacement / Time Area under the graph!! From the graph- Velocity = 4 m/s Time = 10 s Re-arrange the equation- d = v x t = 4 x 10 = 40 m v d t
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Editor's Notes
What other quantities must be accompanied by a direction as well as its size?
What physical quantities do we need to be able to work out the acceleration of something? Mark Cavendish – video clip of tour de France, final stage (21, coming into Paris at the Arc de Triomphe). During the last 200 m Cav is known as a legend for accelerating up to 48 mph to snatch a win (world record for someone from the UK, winning 6 stages at only 24 years-old)
Michael Johnston left speechless! http://news.bbc.co.uk/sport1/hi/athletics/8204766.stm First 30 m, t = 3.78 s, u = 0 m/s, v = 11.11 m/s, a = 2.94 m/s^2 Last 20 m, t = 9.58 - 7.92 = 1.66 s , u = 12.20 m/s, v = 12.05 m/s, a = -0.09 m/s^2
Shallow slope up Steep slope up Slope down Negative Positive low Positive high Continually changing Steep to shallow Shallow to steep
Wind-up racer’s motion
Red Bull Stratos – Felix Baungartner and Joe Kittinger As this piece of historic motion is yet to be done we unfortunately don’t have any speeds to work with but we were luck enough to catch up with Felix on a stretch of road through the country side where he allowed us to film. So here we go, pens at the ready, take down the distance at 5 second intervals and then we’ll replay the high-octane action for speed.
Video clip of v-t, results table time 0 – 30, take results every second (vertically down) Time axis – every box 2 seconds Velocity axis – every box 5 m/s
Talk through the ‘journey’ Label acceleration, deceleration, speeding up, slowing down, steady speed, zero speed and low & high speed Calculate acceleration during 1 st five seconds – 12 m/s^2 From 5 s to 8 s (6-60)/3 = -18 m/s^2
Which is more impressive, Neo dealing with being shot at or Hancock saving someone’s life? How could we judge who is the most awesome? Vid clips, Neo with the bullet-stopping and Hancock with the train-stopping What did Neo do at the start of the clip and what physical factor was it that he so impressively controlled? Extremely fast speed (or velocity). Hancock did something similar but it was a different physical factor that made his ability so impressive, what was it? Both superheroes are controlling the ‘momentum’ of the objects, and in these examples each object has a great deal of momentum! In Science momentum is ‘ mass in motion ’ Momentum of a football team, they’re hard to stop – they’ve built up a lot of pace