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Unformatted text preview: 7.1 Rotational Motion and Law of Gravity Smooth, circular objects Will he catch the turtle? He can reach out 1m. Kinematics in circles displacement x is the same for everyone. x x x A. Linear motion: B. Rotational motion Reference line angle is the same for everyone, while linear distances and speeds are not. θ Quiz Qn. 1 When you go around a circle, the total angle covered is: 1. 0 degrees 2. 180 degrees 3. 360 degrees 4. 90 degrees Will he catch the turtle? He can reach out 1m. r Reference line θ s Angleangular position Circumference/r = 2 π Conversion: rad to degree A). Definition 1 revolution: 1 rad = 360°/2 π Counterclockwise " +" . Clockwise (decreasing θ ) "" The Sun The Moon θ =s/r= θ =s/r= 0.5° 0.5° Total solar eclipse =93,000,000 mi =240,000 mi =2,160 mi =864,000 mi Example Average angular velocity = angular displacement/elapsed time ω avg = Δθ / Δ t = ( θ θ )/(tt ) Angular Velocity Δθ = θ θ Angular Displacement Angular Acceleration Example A floating volleyball serve To make a volleyball serve float, the server has to spin the ball for a fraction of a second, a good example of aerial dynamics. The ball goes from ω 1 = 0 rad/s to ω 2 = 1.0 rad/s during Δ t = 0.1 s. Find α . Angular Linear v 2 = v 2 +2 ax (with comparison to 1D linear kinematics) 7.2 The Equation of Rotational Motion Example ω = 36.0 rad/s, ω = 34.2 rad/s, t = 0.595 s α =3.03 rad/s 2 How many revolutions does the ball make before being caught?...
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 Fall '08
 pralle
 Velocity, angular displacement

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