A toy airplane flies in a horizontal circle at constant speed. The x and y positions of the airplane as a function of time are recorded in the chart on the right, with the origin at the center of the circle. 1. On the grid on the back, make a motion diagram of airplane's motion. Include (1) the average velocity vectors between each point and (2) and the acceleration vectors at each point. 2. What can we say about the direction of the acceleration vectors? What is the magnitude of the acceleration vectors? The magnitude of the acceleration is the same at each point so you can determine it at any convenient time. Start by writing down a symbolic expression. Show the numbers you used. Label answer with units. Time(s) 0 2 4 6 8 10 12 14 16 0.0 7.1 10.0 7.1 0.0 -7.1 10.0 -7.1 0.0 y (m) We can estimate the velocity at t= 1 s using the average velocity between 0 and 2 s AF (7.11-2.93) m (2-0) =(3.551-1.45) 3. As above, estimate the velocity at t-3 s using the average velocity between 2 and 4 s. Start by writing down a symbolic expression. Show the numbers you used. Label answer with units. 10.0 7.1 0.0 -7.1 -10.0 -7.1 0.0 7.1 10.0 4. Using the velocity at 1 s and the velocity at 3 s (from above), estimate the acceleration at t=2 seconds. Write the acceleration in vector form. Start by writing down a symbolic expression. Show the numbers you used. Label answer with units.

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Activity 1.18 - Circular Motion Diagram
A toy airplane flies in a horizontal circle at constant speed.
The x and y positions of the airplane as a function of time are recorded in the
chart on the right, with the origin at the center of the circle.
1. On the grid on the back, make a motion diagram of airplane's motion.
Include (1) the average velocity vectors between each point and (2) and the
acceleration vectors at each point.
2. What can we say about the direction of the acceleration vectors?
What is the magnitude of the acceleration vectors? The magnitude of the
acceleration is the same at each point so you can determine it at any
convenient time. Start by writing down a symbolic expression. Show the
numbers you used. Label answer with units.
Time(s)
0
2
4
6
= (3551-1.45)
8
10
12
14
16
x (m)
0.0
7.1
10.0
7.1
0.0
-7.1
10.0
-7.1
0.0
y (m)
10.0
7.1
0.0
-7.1
We can estimate the velocity at t= 1 s using the average velocity between 0 and 2 s
(18)
AF (7.11-2.93) m
4t (2-0)s
3. As above, estimate the velocity at t-3 s using the average velocity between 2 and 4 s. Start by writing down a
symbolic expression. Show the numbers you used. Label answer with units.
-10.0
-7.1
0.0
4. Using the velocity at 1 s and the velocity at 3 s (from above), estimate the acceleration at t=2 seconds. Write the
acceleration in vector form. Start by writing down a symbolic expression. Show the numbers you used. Label answer
with units.
5. Find the magnitude of the acceleration at t = 2 seconds. Start by writing down a symbolic expression. Show the
numbers you used. Label answer with units. (Note: this is an estimate of the acceleration)
6. What is the distance the airplane traveled in the 16 seconds? Start with a symbolic expression and show the
numbers you used. Label your answer. Hint: it's a circle!
7.1
10.0
7. What is the airplane's speed? Start with a symbolic expression and show the numbers you used. Label your answer.
8. For uniform circular motion the acceleration is entirely centripetal cent=v²/r. Calculate the magnitude of the
expected centripetal acceleration. Start by writing down the symbolic relation you will use.
9. Compare your result in 8 to your result in step 5.
12 s
14s
10 s
0s, 16 s
8s
b
Transcribed Image Text:Activity 1.18 - Circular Motion Diagram A toy airplane flies in a horizontal circle at constant speed. The x and y positions of the airplane as a function of time are recorded in the chart on the right, with the origin at the center of the circle. 1. On the grid on the back, make a motion diagram of airplane's motion. Include (1) the average velocity vectors between each point and (2) and the acceleration vectors at each point. 2. What can we say about the direction of the acceleration vectors? What is the magnitude of the acceleration vectors? The magnitude of the acceleration is the same at each point so you can determine it at any convenient time. Start by writing down a symbolic expression. Show the numbers you used. Label answer with units. Time(s) 0 2 4 6 = (3551-1.45) 8 10 12 14 16 x (m) 0.0 7.1 10.0 7.1 0.0 -7.1 10.0 -7.1 0.0 y (m) 10.0 7.1 0.0 -7.1 We can estimate the velocity at t= 1 s using the average velocity between 0 and 2 s (18) AF (7.11-2.93) m 4t (2-0)s 3. As above, estimate the velocity at t-3 s using the average velocity between 2 and 4 s. Start by writing down a symbolic expression. Show the numbers you used. Label answer with units. -10.0 -7.1 0.0 4. Using the velocity at 1 s and the velocity at 3 s (from above), estimate the acceleration at t=2 seconds. Write the acceleration in vector form. Start by writing down a symbolic expression. Show the numbers you used. Label answer with units. 5. Find the magnitude of the acceleration at t = 2 seconds. Start by writing down a symbolic expression. Show the numbers you used. Label answer with units. (Note: this is an estimate of the acceleration) 6. What is the distance the airplane traveled in the 16 seconds? Start with a symbolic expression and show the numbers you used. Label your answer. Hint: it's a circle! 7.1 10.0 7. What is the airplane's speed? Start with a symbolic expression and show the numbers you used. Label your answer. 8. For uniform circular motion the acceleration is entirely centripetal cent=v²/r. Calculate the magnitude of the expected centripetal acceleration. Start by writing down the symbolic relation you will use. 9. Compare your result in 8 to your result in step 5. 12 s 14s 10 s 0s, 16 s 8s b
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