1. A mass hung on a string that is wrapped around an axle on a wheel produces a

Question

1. A mass hung on a string that is wrapped around an axle on a wheel produces a tension in the string of 6.00 N. The axle has a radius of 0.050 m. The wheel has a mass of 4.00 kg, a radius of 0.100 m, and a thickness of 0.050 m. What is the torque produced by the tension on the axle? Answer: ________________ 2. Regarding the shape of the wheel as that of a uniform, solid cylinder, what is the moment of inertia of the wheel? Answer:_ What is the angular acceleration a of the system? Answer: ________ With what linear acceleration a does the mass on the end of the string fall?

Explanation / Answer

1. Torque = tension * Radius = 6N * 0.050m. = 0.3 Nm

2. Moment of inertia = Mass * (Radius)2 = 4 kg * (0.1)2 = 0.04 kgm2

3. Angular acceleration = Torque/Moment of inertia = 0.3Nm/0.04kgm2 = 7.5Nkg-1

4. Linear acceleration = Angular acceleration * Radius = 7.5Nkg-1 * 0.050m = 0.375 Nkg-1m

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