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- 1. Multiple Choice
A turntable of mass 5.00 kg has a radius of 0.100 m and spins with a frequency of 0.550 rev/s. What is the angular momentum? Assume the turntable is a uniform disk.
0.0864 kg⋅m2/s
0.173 kg⋅m2/s
0.864 kg⋅m2/s
0.275 kg⋅m2/s
- 2. Multiple Choice
How long would a braking torque of 4.00 N⋅m have to act to just stop a spinning wheel that has an initial angular momentum of 6.40 kg⋅m2/s?
1.60 seconds
0.625 seconds
3.20 seconds
2.01 seconds
- 3. Multiple Choice
A figure skater is spinning at 10.0 rad/s with her arms extended. Her rotational inertia is 2.50 kg⋅m2 when her arms are extended. After pulling her arms in, her rotational inertia is 1.60 kg⋅m2 . How much work does she do to pull her arms in while spinning?
70.3 Joules
15.6 Joules
195 Joules
125 Joules
- 4. Multiple Choice
The rotational inertia for a diver in a pike position is about 15.5 kg⋅m2 ; it is only 8.0 kg⋅m2 in a tuck position. If the diver give himself an initial angular momentum of 106 kg⋅m2/s as he jumps off a 10.0 m platform, how many turns can he make in the tuck position before hitting the water?
3.02 turns
6.04 turns
1.56 turns
3.12 turns
- 5. Multiple Choice
The rotational inertia for a diver in a pike position is about 15.5 kg⋅m2 ; it is only 8.0 kg⋅m2 in a tuck position. If the diver give himself an initial angular momentum of 106 kg⋅m2/s as he jumps off a 10.0 m platform, how many turns can he make in the pike position before hitting the water?
3.02 turns
6.04 turns
1.56 turns
3.12 turns
- 6. Multiple Choice
A solid cylindrical disk is to be used a a stabilizer in a ship. By using a massive disk rotating in the hold of the ship. By using a massive disk rotating in the hold of the ship, the captain knows that a large torque is required to tilt its angular momentum vector. The mass of the disk is 1.00 x 105 kg, and it's radius is 2.00 meters. If the cylinder rotates at 300. rpm, what is the magnitude of the average torque required to tilt its axis by 60.0 degrees in a time of 3.00 seconds?
2,090,000 N⋅m
4,180,000 N⋅m
1,004,500 N⋅m
20,000,000 N⋅m
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