Circular motion happened everywhere in our life, during the car changing direction to Moon rotating around the Earth. It looks simple, but the process is actually complicated. In this Unit, we are going to explore the mystery of Circular Motion.
Uniform Circular Motion
KEY TERMS
ω ac T f |
Uniform Circular Motion
Motion in a circle at a constant speed Angular Velocity Measure of how an angle changes over time. The rotational analogue of linear velocity. Vector quantity with counterclockwise defined as the positive direction. Tangential Velocity In one full rotation, the wheel has turned the distance of the circumference. Centripetal acceleration Acceleration pointed towards the center of a curved path and perpendicular to the object's velocity. Causes an object to change its direction and not its speed along a circular pathway. Period Time needed for one revolution. Inversely proportional to frequency. Frequency Number of revolutions per second for a rotating object. Revolution object is moving around an external axis |
Formulas
v = ωr
Fc=mv^2/r=mω2r
ac=v^2/r
T = 2π/ω
Fc=mv^2/r=mω2r
ac=v^2/r
T = 2π/ω
Problem set
On Earth, an average person's vertical jump is 0.40 m.
What is it on the Moon? The gravitational acceleration near the surface of the Moon is 1.62 m/s2. Assume that the person leaves the surfaces at the same speed.
h'=2.4
https://session.masteringphysics.com/
What is it on the Moon? The gravitational acceleration near the surface of the Moon is 1.62 m/s2. Assume that the person leaves the surfaces at the same speed.
h'=2.4
https://session.masteringphysics.com/
Centripetal Force
All the diagrams are drawn by author.
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