lecture 8 Flashcards
linear and angular distance
the bat undergoes rotation and different parts of the bat have different linear distances
what is linear distance called
arc length
arc length
the distance that a point on a rotating object (or an object travelling along a circular path travels)
arc length(s) is a distance and therefor a scalar value (no direction)
arc length is influenced by
1) the amount of rotation
2) the distance the point is from the centre of rotation
arc length must be expressed in
RADIANS
S=R0(angle)
linear and angular velocity
the linear velocity of a point on a rotating object (or an object following a circular path) is always pointing tangentially to the arc of the motion
-this velocity is called tangential velocity (Vt)
the tangentially velocity is influenced by
-how fats the object is rotating (the angular velocity)
-how far the point is away from the centre of rotation (the radius)
*angular velocity must be expressed in radians
languor acceleration can be broken down into two perpendicular vector components
tangential accerlation
radial accelration
tangential acceleration
linear acceleration directed perpendicular to the rotating segment
radial acceleration
linear acceleration directed along the rotation segment to toward the axis of rotation
the total linear acceleration equals the _____ of tangential acceleration and radio acceleration (determined using the pythagorean theorem)
vector sum
when converting form angular to linear kinematics, units must be converted to
radians
the linear distance travelled by a point on a rotating object is influence by the __________ and the size of the _______
amount of rotation (angular distance)
radius
angular acceleration can be broken down into two perpendicular vector components
tangential acceleration is directed perpendicular to the rotating segment and is only present when the object has angular acceleration
radial acceleration is directed towards the axis ion rotation and is present if the object has angular velocity
