Final answer:
The best way to produce measurable amounts of torque on a system to test the relationship between the angular momentum, average torque, and time is by placing known masses on one end of a seesaw.
Step-by-step explanation:
To test the relationship between the angular momentum of a system, the average torque applied to the system, and the time for which the torque is applied, the best way to produce measurable amounts of torque is by placing known masses on one end of a seesaw. By varying the masses and measuring the resulting angular momentum, torque, and time, the relationship can be analyzed and understood.
This method allows for controlled and measurable torque to be applied to the system, making it easier to collect accurate data and draw conclusions about the relationship between the variables.
For example, if different masses are used on the seesaw, the angular momentum and time can be measured, and the torque can be calculated using the formula T = Iω, where T is the torque, I is the moment of inertia, and ω is the angular velocity.