A bicycle wheel with a radius of 30 cm and 16 spokes that is mounted with its axle fixed in a horizontal position. The number of spokes that pass close to an electronic eye are counted and registered on a computer. This meausre of the rate at which the wheel turns is used to observe the wheel's motion when a 50 g mass is hung from a string wrapped around the periphery of the tire. The wheel is held stationary with the weight hanging as shown and then released. At t = 5.0s, The angular velocity is 10 spokes/second. What is the angular Velocity (rad/s), and angular acceleration (rad/s^2)?
also What is the acceleration of the hanging mass in m/s^2 while the speed is increasing?
Well lets draw it, |dw:1415268490536:dw| assuming your picture looks like this
So we know 16 spokes make 2pi right? Can you figure out what the distance between each spoke is then. Hint: (2pi/16, simplify) What is the formula for angular velocity? What are the forces acting on this wheel? (Remember Newton's first law)
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