IB A5.2-Vertical Circle
Get the Formative Assessment: FA05.2.docx
The Assessment Solved:
1. A carnival ride moves at a constant speed in a vertical circle where the riders are held to the ride at the top inverted. If the riders are feeling 0.85 "g"s at the top, what "g"s do they feel at the bottom, and what is the actual centripetal acceleration of the ride in "g"s? (Be sure to answer both questions)
(Bottom = 2.85 “g”s, ride = 1.85 “g”s)
2-3: A 2.50 kg mass moves at a constant speed in a vertical circle at the end of a 0.310 m long rod with a period of 1.30 s.
2. 2. What force in what direction does the rod exert at the top?
(+6.42 N up)
-Be sure to label your answer "up"
3. What force in what direction does the rod exert at the bottom?
(+42.6 N up)
-Be sure to label your answer "up"
4-5: A 1.20 kg mass moves in a 0.45 m radius circle at a constant speed. At the top this requires a downward force of 5.75 N
4. What is its velocity?
(2.56 m/s)
5. What force in what direction is required at the bottom?
(+29.3 N, up)
-Be sure to label your answer "up"
More Practice Assessments:
1. a. A carnival ride moves at a constant speed in a vertical circle. If the riders are feeling 2.60 "g"s at the bottom, what "g"s do they feel at the top, and what is the actual centripetal acceleration of the ride in "g"s? (Be sure to answer both questions)
b-c: A 5.30 kg mass moves at a constant speed in a vertical circle on the end of a 0.440 m long rod with a velocity of 1.90 m/s.
b. What force in what direction does the rod exert at the top?
c. What force in what direction does the rod exert at the bottom?
d-e: A 2.60 kg mass moves at a constant speed in a 7.90 m radius vertical circle on the end of a rod. At the top this requires an upward force of 12.3 N.
d. What is the period of the mass?
e. What force in what direction is required at the bottom?
2. a. A carnival ride moves at a constant speed in a vertical circle. If the actual centripetal acceleration of the ride in "g"s is 0.12 "g"s, what “g”s do the riders feel at the top, what "g"s do they feel at the bottom? (Be sure to answer both questions)
b-c: A 1.80 kg mass moves in a vertical circle at a constant speed with a period of 3.30 s on the end of a 3.80 m long rod.
b. What force in what direction does the rod exert at the top?
c. What force in what direction does the rod exert at the bottom?
d-e: A 2.40 kg mass moves in a vertical circle at a constant speed on the end of a 1.60 m long rod. At the bottom this requires an upward force of 45.0 N
d. What is the speed of the mass?
e. What force in what direction is required at the top?
3. a. A carnival ride moves at a constant speed in a vertical circle. If the riders are feeling 0.31 "g"s inverted at the top, what "g"s do they feel at the bottom, and what is the actual centripetal acceleration of the ride in "g"s?
(Be sure to answer both questions)
b-c: A 2.10 kg mass moves at a constant speed in a vertical circle on the end of a 0.910 m long rod at 2.20 m/s.
b. What force in what direction does the rod exert at the top?
c. What force in what direction does the rod exert at the bottom?
d-e: A 1.20 kg mass moves at a constant speed in a vertical circle on the end of a 2.50 m long rod. This requires 26.0 N of upward force at the bottom.
d. What is the period of the mass?
e. What force in what direction is required at the top?
4. a. A carnival ride moves at a constant speed in a vertical circle. If the riders feel 0.38 "g"s at the top, what is the centripetal acceleration of the ride in "g"s, and what "g"s do they feel at the bottom (Be sure to answer both questions)
b-c: A 1.50 kg mass moves at a constant speed of 2.30 m/s in a vertical circle with a radius of 0.570 m on the end of a rod.
b. What force in what direction does the rod exert at the top?
c. What force in what direction does the rod exert at the bottom?
d-e: A 1.60 kg mass moves at a constant speed in a 0.670 m radius circle on the end of a rod. At the top this requires an upward force of 6.30 N.
d. What is the period of motion of the mass?
e. What force in what direction is required at the bottom?
5. a. A carnival ride moves at a constant speed in a vertical circle. If the riders are feeling 3.34 "g"s at the bottom, what "g"s do they feel at the top, and what is the actual centripetal acceleration of the ride in "g"s? (Be sure to answer both questions)
b-c: A 1.40 kg mass moves in a vertical circle at a constant speed on the end of a 0.760 m long rod with a period of 1.20 s.
b. What force in what direction does the rod exert at the top?
c. What force in what direction does the rod exert at the bottom?
d-e: A 2.20 kg mass moves in a vertical circle on the end of a rod with a radius of 0.650 m. At the top this requires a downward force of 6.80 N.
d. What is the velocity of the mass?
e. What force in what direction is required at the bottom?
More practice:
Vertical Circle: (The link after the answer takes you to a video solution of the problem)
1. A physics teacher twirls a roll of masking tape in a 2.2 m radius vertical circle. What is the minimum velocity at the top of the circle that will keep the string from going slack? (4.6 m/s) VCO#1
2. A rider moving in a 5.1 m radius vertical circle feels 4.5 “g”s at the bottom of the circle. A) How many “g”s is the ride pulling? B) How many “g”s do they feel at the top? C) What is their tangential velocity? (3.5 “g”s, 2.5 “g”s, 13 m/s) VCO#2
3. A 2.00 kg object moves in a 4.25 m radius vertical circle with a period of 3.00 seconds. Find the force needed at the top, and at the bottom. (17.7 N Down, 56.9 N up) VCO#3
4. A 7.0 kg mass moves at a uniform speed of 5.0 m/s in a 4.0 m radius circle on the end of a rod. What force is needed at the top and at the bottom? (25 N up, 110 N up) VCO#4
5. A 2.72 kg mass moves at a uniform speed in a 1.95 m radius circle on the end of a rod. At the top, the rod is exerting a downward force of 4.01 N on the mass. a) What is the centripetal acceleration of the mass? b) What is its period? c) What force does the rod exert at the bottom? (11.3 m/s/s, 2.61 s, 57.4 N up) VCO#5
6. An 11.5 kg mass moves at a uniform speed in a 1.43 m radius circle on the end of a rod. At the bottom, the rod is exerting an upward force of 156 N on the mass. a) What is the centripetal acceleration of the mass? b) What is its speed? c) What force does the rod exert at the top? (3.76 m/s/s, 2.32 m/s, 69.6 N up) VCO#6
The Instruction for this unit:
Ex 0-1: Keeping the water in the bucket, and g forces
5:59 Vertical Circle Introduction
Examples (optional)
Simple Vertical Circle Example#1
Simple Vertical Circle Example#2
Simple Vertical Circle Example#3
Simple Vertical Circle Example#4
Simple Vertical Circle Example#5
Ex 2: Find the force at the top and the bottom given radius and velocity
EX3 Vertical Circle Forces Another example (Optional)
Ex 4: Given the force at the top, and the radius, find the velocity and the force at the bottom
EX5 Vertical Circle ForcesAnother example (Optional)