When a skater brings her arms in when spinning, she increases her ____________________. A) angular speed.B) Both of these.C) Neither of these.D) angular momentum.

Angular momentum

To determine the correct answer, let's understand the concept of angular motion and the factors involved in it. Angular motion refers to the rotation of an object around an axis.

When a skater brings her arms in while spinning, she decreases her moment of inertia. The moment of inertia is a measure of an object's resistance to change in its rotation. By bringing her arms closer to her body, the skater reduces her moment of inertia.

Now, let's analyze the answer choices:

A) Angular speed: Angular speed is the rate at which an object rotates around an axis. When the skater brings her arms in, her moment of inertia decreases, resulting in an increase in angular speed. Therefore, this option can be the correct answer.

B) Both of these: Since bringing the arms in increases angular speed (as explained above), this option can also be the correct answer, as it includes both angular speed and another factor related to the skater's motion.

C) Neither of these: From our analysis, we know that bringing the arms in affects the skater's motion. Since at least one option has a correct answer, this option is not correct.

D) Angular momentum: Angular momentum is the product of an object's moment of inertia and its angular velocity (angular speed). Although the skater's angular speed increases when she brings her arms in, her moment of inertia decreases even more. Hence, the changes in these factors cancel out each other, resulting in no change in angular momentum. Therefore, this option is not correct.

Based on the analysis, the correct answer is either A) angular speed or B) both of these.