NATS 101 Lecture 16 NewtonÕs Laws of Motion Upper-Air Winds |
Supplemental References for TodayÕs Lecture |
Gedzelman, S. D., 1980: The Science and Wonders of the Atmosphere. 535 pp. John-Wiley & Sons. (ISBN 0-471-02972-6) | |
Slide 3 |
Do Rocks Always Roll Downhill? |
NewtonÕs Laws of Motion |
NewtonÕs 1st Law | |
An object at rest will remain at rest and an object in motion will remain at a constant velocity (same speed and same direction) if the net force exerted on it is zero | |
An external force is required to speed up, slow down, or change the direction of air |
NewtonÕs Laws of Motion |
NewtonÕs 2nd Law | |
The net force exerted on an object equals its mass times its acceleration | |
Sum of All Forces = Mass « Acceleration | |
Acceleration = Velocity Change / Time | |
Acceleration = Change in Either Speed or Direction |
Velocity, Acceleration and Force are Vectors |
Size and Direction | |
Uniform, Circular Motion Requires Acceleration |
Accelerated Frame of Reference |
You are glued to carÕs floor and drop an egg. | |
What happens if the car begins to accelerate? |
Life on a Rotating Platform |
From perspective of person not on merry-go-round, path of ball is straight. | |
From perspective of person on merry-go-round, path of ball deflects to left. There is an apparent force. |
EarthÕs Rotation |
Ball Appears to Deflect to the Right of the Observer |
Ball Appears to Go Straight |
Deflection Depends on Orientation of Axis of Rotation and Velocity |
Coriolis Force Varies with Latitude |
Geostrophic Adjustment |
Parcel at rest initially accelerates toward lower pressure. | |
Coriolis Force rotates parcel to right in NH. | |
As parcel speeds up, Coriolis Force increases. | |
Eventually (about a day), PGF equals CF and flow is parallel to isobars. |
Geostrophic Balance |
Geostrophic Balance |
Slide 19 |
Do Rocks Always Roll Downhill? |
Key Concepts for Today |
Rotation of Earth | |
Accelerated Frame of Reference | |
Introduce Coriolis ÒForceÓ | |
Apparent Force to Account for Deflection Depends on Rotation, Latitude, Wind Speed | |
Geostrophic Balance and Wind | |
Balance Between PGF and Coriolis Force Geostrophic Wind Blows Parallel to Contours About One Day Required to Reach Balance |
Assignment for Next Lecture |
Topic – Centripetal force due to curved flow | |
Frictional force near the ground | |
Reading - Ahrens pg 155-158 | |
Problems - 6.23, 24 (24,25) | |