EX16.4_Bicycle_Drivetrain - axis is translating like the...

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The rear wheel of the bicycle shown has a 330- mm radius and is rigidly attached to the 45-mm radius sprocket. If the rider turns the pedal which are rigidly attached to the 120-mm radius sprocket wheel, at one revolution per second, what is the bicycle’s velocity? Find the speed of the chain IC16.2 – Bicycle Drivetrain What is your first step? Solution: Problem Type: Find: Given: r wheel = 0.33 m, r sprocket =0.045m, r crank = 0.12 m n crank = 1 rev/s |v bike | Rigid Body Kinematics, Fixed Axis Rotation Reflection: This seems like a reasonable speed as it equates to about 12 mph. Note that equations for single axis rotation can be useful even if that
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Unformatted text preview: axis is translating like the center of the crank and the center of the wheel. We will talk more about rolling wheels later in the quarter. Now find the angular velocity of the rear spocket = angular velocity of rear wheel Similarly, find the velocity of the point on the wheel that touches the ground which equals the speed of the bike v chain =r crank ω crank Vchain=0.12*1rev/s*2π/rev Vchain=0.75 m/s ϖ wheel =v chain /r sprocket ϖ wheel =0.75/0.045 ϖ wheel = 16.76 rad/s v bike = r wheel ϖ wheel v bike = 5.53 m/s...
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