Chapter 6: Uniform Circular Motion

What is uniform circular motion?

When the speed with which an object moves in a circle is constant

Does velocity change in uniform circular motion? Why?

Yes; because as the object moves in a circle, the direction changes, and thus the velocity changes

What is the Period (T) of motion?

The amount of time that it takes an object to travel around the circle once

Frequency; measured in…

Number of revolutions per unit of time; Hz

Angular velocity

The rate at which a particle’s angular position is changing

average angular velocity =

delta theta/delta t

Linear velocity is the change of _______ with _______

Position, time

Angular velocity formula

2pi/T

Linear velocity formula

2piR/T or wR

Centripetal acceleration formula

V²/r or Vw or w²R

Centripetal acceleration is ________ to change in velocity

parallel

A particle moves at uniform circular motion if ________ _________ is constant

angular velocity

Final theta formula

Theta_final = Theta_initial + wt

When is an object considered “weightless”?

When the centripetal acceleration is equal to and is pointing in the same direction as gravity.

Newton’s law of universal gravitation

two objects with mass 1 and mass 2 that are a distance r apart exert attractive gravitational forces on each other of equal magnitude:

F = G(m1 x m2)/r²

Orbit

A projectile motion that never gets any closer to the ground; the object is in a constant state of free fall

How to calculate gravitational acceleration of any planet?

g = G(Mass of planet)/r²

Coriolis effect

The northern hemisphere bears right, while the southern bears left