Think you’ve got your head wrapped around Rotation? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. What is the minimum speed a roller coaster can be traveling and still successfully navigate a 20 m tall circular loop?
4.9 m/s
7.0 m/s
9.9 m/s
14.0 m/s
20 m/s
Q. It takes a pitching machine's main drum sixteen full revolutions to reach its max speed of 1000 rad/s. What is the drum's angular acceleration?
4.97 rad/s2
4974 rad/s2
9947 rad/s2
31,250 rad/s2
39,789 rad/s2
Q. What is the moment of inertia of a tetherball? The ball has an 8 cm radius and weighs 1.5 kg, and spins around a pole on a 1.5 m rope (attached to the center of the pole and the top of the tetherball).
0.004 kg · m2
1.35 kg · m2
3.38 kg · m2
3.75 kg · m2
4.73 kg · m2
Q. The moment of inertia of a cube about any axis through the center of one of its faces is 
, where s is the length of the cube's sides. What is the change in angular momentum of a six-sided die (side length 1.8 cm, weight 9 g) when it's tumbled out of a Dungeon Master's hand, increasing its rotational speed from 10 rad/s to 30 rad/s?
, where s is the length of the cube's sides. What is the change in angular momentum of a six-sided die (side length 1.8 cm, weight 9 g) when it's tumbled out of a Dungeon Master's hand, increasing its rotational speed from 10 rad/s to 30 rad/s? 4.9 g · cm2/s
48.6 g · cm2/s
54.0 g · cm2/s
97.2 g · cm2/s
145.8 g · cm2/s
Q. The plank in a pirate ship is 3 m long and weighs 100 kg. It is balanced on the edge of the ship's deck, with 1 m of plank extending off the ship over the ocean. How far out off the edge of the ship can a 40 kg prisoner walk before the plank starts to tip?
0.4 m
0.5 m
0.8 m
0.9 m
1.0 m
Q. When a record starts to spin, the turntable applies a constant torque to the record in order to accelerate it. After 1 s, the record has made two full rotations. If the torque continues to be applied, how many rotations will the record have made by the end of 3 s?
2
6
9
18
36
Q. A bike tire is spun with a torque of 60 N · m due to the rider pushing on the pedals. The 70 cm diameter tire has a coefficient of rolling friction with the asphalt of 0.01, and carries half the weight of the bicycle and rider (the other half is carried by the bicycle's other tire): 80 kg. What is the resulting net torque on the tire?
24.5 N · m
27.3 N · m
52.2 N · m
54.5 N · m
57.3 N · m
Q.
21.2 kJ
29.4 kJ
32.8 kJ
50.6 kJ
71.8 kJ
Q. A car's engine can exert 150 N · m of torque on one of its wheels, 40 cm in diameter. What power is required to move the wheel along the road at 90 km/hr?
1.20 W
3.75 kW
9.38 kW
18.7 kW
1.13 MW
Q. A ball, a cylinder, and a tube of equal mass and radius are placed on top of a (frictionless) hill. Which reaches the bottom first?
The ball
The cylinder
The tube
The cylinder and tube tie for first
The ball and the cylinder tie for first