1. Formative Assessment

2. Concept 0: ac > 9.8 m/s/s so the string stays taut.
Example - What is the minimum speed at the top for my bucket if r = 1.12 m? (So the cup does not fall off)

3. The “g” force of the ride adds to the 1g we feel normally:
Feel 1g - ride
Feel 1g + ride
e.g. the Ferris wheel pulls about 0.10 “g”s

4. A Ferris wheel has a radius of 9. 40 m, and a period of 15. 0 s
A Ferris wheel has a radius of 9.40 m, and a period of 15.0 s. What is the acceleration of the ride in “g”s and m/s/s? What “g” force do they measure at the top and at the bottom?
Feel 1g - ride
Feel 1g + ride
1.65 m/s/s, “g”s, “g”s, “g”s

5. A) How many “g”s is the ride pulling?
A rider moving in a 3.75 m radius vertical circle feels -1.2 “g”s (inverted “g”s) at the top of the circle.
A) How many “g”s is the ride pulling?
B) How many “g”s do they feel at the bottom?
C) What is their tangential velocity?
Feel 1g - ride
Feel 1g + ride
2.2 “g”s, 3.2 “g”s, 21.6 m/s/s, 9.0 m/s

6. g Force in a Vertical Circle
Whiteboards:
g Force in a Vertical Circle
1 | 2 | 3 | 4
TOC

7. A Ferris Wheel pulls 0. 2 “g”s
A Ferris Wheel pulls 0.2 “g”s. What is the “g” force at the top and the bottom W
0.80 “g”s, and 1.20 “g”s

8. The Rock O Plane pulls 0. 70 “g”s
The Rock O Plane pulls 0.70 “g”s. What do you feel at the top and the bottom? W
0.30 “g”s, and 1.70 “g”s

9. A Ferris wheel makes riders feel 0. 70 “g”s at the top, and 1
A Ferris wheel makes riders feel 0.70 “g”s at the top, and 1.30 “g”s at the bottom. What is the ride pulling? W
0.30 “g”s

10. Another Ferris Wheel makes riders feel a difference in “g” force between the top and the bottom of 0.50 “g”s. What is the ride pulling in “g”s, and m/s/s? W
0.25 “g”s, 2.45 m/s/s

11. If a roller coaster pulls 2
If a roller coaster pulls 2.5 “g”s in a vertical circle, what do you feel at the top of the loop, and at the bottom?
(2 answers) W
-1.5 “g”s (inverted), and 3.5 “g”s

12. You feel 2. 1 “g”s at the bottom of a roller coaster loop
You feel 2.1 “g”s at the bottom of a roller coaster loop. What is the ride “pulling” and what do you feel at the top? W
1.1 “g”s and -0.1 “g”s (inverted)

13. What is your centripetal acceleration if at the top of a roller coaster loop you read .75 “g”s inverted? W
1.75 “g”s

14. A Ferris wheel makes riders go 4. 08 m/s in an 8. 50 m radius circle
A Ferris wheel makes riders go 4.08 m/s in an 8.50 m radius circle. What is the centripetal acceleration of the ride in “g”s? What do the riders feel at the top and the bottom? W
( m/s/s) 0.20 “g”s, 0.80, 1.20 “g”s

15. A ride makes riders go in a 3
A ride makes riders go in a 3.40 m radius vertical circle with a period of 2.93 s. What “g”s is the ride pulling, and what do the riders feel at the top and at the bottom? W
(15.64 m/s/s) 1.60 “g”s, “g”s inverted, and 2.60 “g”s

16. Calculating v and T in a Vertical Circle
Whiteboards:
Calculating v and T in a Vertical Circle
1 | 2 | 3 | 4
TOC

17. A roller coaster goes in a 3. 8 m radius vertical circle
A roller coaster goes in a 3.8 m radius vertical circle. What is the minimum speed it can have at the top to stay on the rails? W
6.1 m/s

18. What is the maximum radius you can twirl a bucket full of water going 2.3 m/s at the top?

19. What is your speed at the top of a roller coaster loop if you read 0
What is your speed at the top of a roller coaster loop if you read 0.75 “g”s inverted and the loop has a radius of 3.8 m? (1) W
8.1 m/s

20. You read 3. 5 “g”s at the bottom of a 4. 8 m radius vertical circle
You read 3.5 “g”s at the bottom of a 4.8 m radius vertical circle. What is the ride pulling, what do you feel at the top, and what is the tangential velocity of the ride? W
2.5, -1.5 (inverted), 10.8 m/s

21. A ride goes in a 5.0 m radius vertical circle. The ride itself pulls 1.8 “g”s. What do the riders feel at the bottom, and at the top, and what is the period of motion of the ride? W
2.8, -0.8 (inverted), 3.35 s

22. You read -1. 4 “g”s (inverted) at the top of an 8. 0 m vertical circle
You read -1.4 “g”s (inverted) at the top of an 8.0 m vertical circle. What is the ride pulling, what do you read at the bottom, and what is the tangential velocity of the ride? W
2.4, 3.4, 13.7 m/s