A wheel changes its angular velocity with a constant angular acceleration while rotating about a fixed axis through its center. (a) Show that the change in the magnitude of the radial acceleration during any time interval of a point on the wheel is twice the product of the angular acceleration, the angular displacement, and the perpendicular distance of the point from the axis. (b) The radial acceleration of a point on the wheel that is 0.250 m from the axis changes from 25.0 m/s2 to 85.0 m/s2 as the wheel rotates through 20.0 rad. Calculate the tangential acceleration of this point. (c) Show that the change in the wheel’s kinetic energy during any time interval is the product of the moment of inertia about the axis, the angular acceleration, and the angular displacement. (d) During the 20.0 rad angular displacement of part (b), the kinetic energy of the wheel increases from 20.0 J to 45.0 J. What is the moment of inertia of the wheel about the rotation axis?

Emotion and the Nervous System To pg. 240 What is an Emotion: E means Ex (out) Motion means Movere (to move) - something moves and gets kicked out Stirring up of feelings that happens inside and gets pushed out as an observable behavior (happiness = smile) Emotion together means "movement" of mind (soul) (ex. Feeling, happiness) that causes body's responses (ex. Smiling, higher heart rate, etc.) Feeling causes the body response - cause and effect relationship Sometimes it can be flipped around where the body response can cause the emotion - similar to the mind body problem o Smiling - Somatic NS o Higher heart rate - Autonomic NS - Sympathetic NS o Relationship between emotional experience and body's r