A group of students must conduct an experiment to determine how the location of an
applied force on a classroom door affects the rotational motion of the door. The rotational
inertia of the door about its hinges is known. The initial angular velocity of the door is zero.
1. Which of the following lists what measuring devices the students need and the
measurements they should take to collect the necessary data to test the relationship
between a torque exerted on the door and the change in angular velocity of that
object about the hinges of the door? Justify your selection.
A A protractor to measure the angular displacement of the door and a meterstick to
measure the radial distance from the door's hinges to the location where the force is
applied.
B A stopwatch to measure the time interval during which the force is applied and a
meterstick to measure the radial distance from the door's hinges to the location
where the force is applied.
A force probe to measure the applied force on the door, and a stopwatch to measure
C
the time interval during which the force is applied, and a meterstick to measure the
radial distance from the door's hinges to the location where the force is applied.
A stopwatch to measure the time interval during which the force is applied, a force probe to
D measure the applied force on the door, a protractor to measure the angular displacement of the door, and a
meterstick to measure the radial distance from the door's hinges to the location where the force is applied.
2. The students must determine how to test the relationship between a torque exerted
on the door and the change in the angular velocity of the door. All frictional forces are
considered to be negligible. How should the experiment be conducted to test the
relationship between the torque exerted on the door and the change in the door’s
angular velocity in a way that minimizes experimental uncertainty?
A The students should perform several trials, applying the same force at the same
vertical distance from the floor.
B The students should perform several trials, applying the same force at different
vertical distances from the floor.
C The students should perform several trials, applying the same force at the same
horizontal distance from the hinges.
DThe students should perform several trials, applying the same force at different horizontal distances from the
hinges.
3. The students conduct the experiment and gather data about the net torque exerted
on the door and angular acceleration of the door for several trials. They create a
graph of the door’s angular acceleration as a function of the net torque and sketch a
best-fit line through the data. How can the students analyze the data to determine the
rotational inertia of the door about its hinges?
A
Determine the slope of the best-fit line.
BDetermine the inverse of the slope of the best-fit line.
C
Determine the horizontal intercept of the best-fit line.
D
Determine the vertical intercept of the best-fit line.
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