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Lecture09

# Lecture09 - PHYSICS 220 Lecture 09 Circular Motion Textbook...

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Lecture 9 Purdue University, Physics 220 1 Lecture 09 Circular Motion Textbook Sections 5.4 - 5.7 PHYSICS 220

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Lecture 9 Purdue University, Physics 220 2 Overview • Last Lecture – Circular Motion θ = angular position radians ω = angular velocity radians/second • Circular to linear conversions s = r θ , v = r ω – Uniform Circular Motion • Speed is constant • Direction is changing • Centripetal acceleration a = v 2 / r • Today – Satellite Orbits and Planetary Motion – Non-uniform Circular Motion – Weightlessness and Artificial Gravity
Lecture 9 Purdue University, Physics 220 3 Uniform Circular Motion • Period: – Time to travel around the circle (s) • Frequency: – Revolution per unit time (Hz=s -1 ) • Velocity: Distance/time (m/s) • Angular velocity: ω = Δθ / Δ t – How fast it is rotating – Units: radians/second (2 π = 1 revolution)

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Lecture 9 Purdue University, Physics 220 4 Conical Pendulum Net force must point towards the center of the circle
5 Quiz What is the direction of the acceleration? A) Along the tension in the cable B) In a horizontal direction toward the center C) In a horizontal direction away from the center

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Lecture 9 Purdue University, Physics 220 6 Satellites - Speed is independent of mass of satellite - Satellites in lower orbits have greater speeds Geostationary orbits: A circular orbit in Earth’s equatorial plane whose period is equal to Earth’s rotational period. ~35,786 km above ground
Purdue University, Physics 220 7 Exercise Two identical (except for color) satellites are in circular orbits around the Earth. The red satellite is farther from the earth than the green one. Which satellite has the greater centripetal acceleration? A) Red

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Lecture09 - PHYSICS 220 Lecture 09 Circular Motion Textbook...

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