2.3 
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Interactive Simulations   Position and displacement in one dimension    Displacement and position in two dimensions    Solve v=dx/dt for dt    Velocity, position, and time (basic version)    Velocity, position, and time (more advanced version)    Acceleration (basic version)    Acceleration (more advanced version)    Static equilibrium    Static equilibrium and the lever    Newton's second law (basic version)    Newton's second law (more advanced version)    Circular motion interactive simulation    Orbits of the planets and dwarf planets    Orbits simulation Interactive Calculators   Speed calculator    Velocity calculator    Acceleration calculator    Velocity in accelerated motion    Average velocity calculator    Hooke's law calculator    Torque calculator    Rotational equilibrium and torque    Newton's second law calculator    Momentum calculator    Angular velocity    Linear velocity and angular velocity    Centripetal acceleration    Centripetal force    Law of universal gravitation calculator
1 - Science of Physics
2 - Forces and Motion      Chapter 2 at a glance      2.1 - Motion      2.2 - Force, momentum, and Newton's laws      2.3 - Circular motion      2.4 - Solving harder physics problems      2.5 - Chapter review3 - Energy Transformations4 - Waves and Sound
5 - Electricity and Magnetism
6 - Light and Optics
7 - The Atom
8 - Linear Motion
9 - Vectors and Forces
10 - Forces
11 - Newton's Laws and Gravitation
12 - Circular Motion and Gravitation
13 - Torque and Static Equilibrium
14 - Momentum and Collisions
15 - Angular momentum
16 - Power and Machines
17 - Harmonic Motion
18 - Waves
19 - Sound
20 - Electricity
21 - Electric and Magnetic Fields
22 - Electromagnetism and Induction
23 - Light and Color
24 - Geometrical Optics
25 - Electromagnetic Radiation
26 - The Properties of Matter
27 - Thermodynamics and Heat Transfer
28 - The Atom
29 - The Quantum Theory
30 - TBD
31 - TBD
32 - TBD
33 - TBD
34 - TBD
35 - TBD
36 - TBD
37 - The atomic nucleus and radioactivity
38 - Nuclear reactions
39 - Relativity
40 - Particle physics and the standard model
41 - Electronics (semiconductors)
42 - Nuclear technology
43 - Lasers and photonics
44 - Metals, alloys and materials science
45 - Communications technology
46 - Buildings and structures
47 - Energy technology
48 - Biophysics
49 - Matter and Energy, Space and Time
50 - Energy Transformations
51 - Nanotechnology
52 - Website Videos
53 - ExtraStuff
55 - Modeling Motion, Friction, and Center of Mass
56 - Work and the Conservation of Energy
Section 3 review
Linear motion is when an object moves in a particular direction. Circular motion can involve rotating, rolling, or orbiting objects. A centripetal force (directed towards the center of the circle) is required to maintain an object in circular motion. The law of universal gravitation expresses the mutual force of attraction between two masses and is the force that keeps satellites and planets in their orbits.
Vocabulary words angular velocity, radian, centripetal force, centripetal acceleration, law of universal gravitation, satellite, orbit

Key equations
ω= Δθ Δt
v=ωr
a c = v t 2 r
F c = m v 2 r
F=G m 1 m 2 r 2

Review problems and questions
  1. Radians and degrees are related by π rad = 180°. Make the following conversions:
    1. Convert 45° to radians
    2. Convert 0.5236 radians to degrees
    3. Convert 270° to radians
    4. Convert 7.85 radians to degrees
    5. Convert 585° to radians
    6. Draw each one of these angles on a circle. Show
  1. A wheel spins at a rate of 30 revolutions per minute (rpm). What is the angle that a point on the wheel makes in one second? Give your answer in degrees and radians. Show
  1. A race car is moving with a speed of 200 km/h on a circular section of a race track that has a radius of 300 m. The race car and the driver have a mass of 800 kg.
    1. What is the magnitude of the centripetal acceleration felt by the driver?
    2. What is the centripetal force acting on the car? Show
  1. A bicycle moves with a speed of 30 km/h. If the wheels of the bicycle have a radius of 35 cm, what is the angular speed of the wheels?
    Give your answer in rad/sec and degrees/sec. Show
  1. Using the formula for the universal law of gravitation, calculate the force between two spheres of 100 kg each. The distance between the centers of the spheres is 2 m. Show

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