Initiailly at rest, at time t = 0 seconds you begin peddling your bicyle. After 12 seconds, your rear wheel has made exactly 20 revolutions. The mass of your bicyle is5 kg and your mass is 65 kg. Your bicycle has a chain ring, which is 6.5 cm in diameter, and turns the sprocket with 4 to 1 ratio (for every 1 revolution of the chain ring, the sprocket makes 5 revolutions). The axis of the chain ring is 32 cm from the axis of the sprocket. The sprocket is ridigly fixed to the rear wheel which has a diameter of 23 inches. Your bicycle has a reflector mounted on the rear wheel, which is 2/4 of the distance from the wheel’s hub to its outer diameter (closest to the outer diameter)
What distance have you traveled at t = 12 seconds? 3.) What is your linear acceleration at t = 12 seconds? 4.) What is your linear velocity at t = 12 seconds? 5.) What is the angular acceleration of the reflector at t = 12 seconds? 6.) What is your angular velocity of the reflector at t = 12 seconds? 7.) What is your angular velocity of the outermost diameter of the wheel at t = 12 seconds?
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