Question

A bicycle wheel has four firecrackers attached to it on opposite ends of the wheels diameter, as shown in the figure to the right. When the firecrackers are lit, they release heated gas away from their front ends. The bicycle wheel is pivoted against a wall by its center of mass and is free to spin. a. Which way will the bicycle wheel spin when the firecrackers are lit? Explain using the torque right hand rule. b. What is the direction of the bike wheels resulting angular velocity vector? Explain using the rotational right hand rule. How does your answer here relate to your answer to part a)? c. Draw the extended free-body diagram for the bicycle wheel d. Write down the rotational version of Newtons Second Law for the bicycle wheel. You may use the variables m and R for the wheels mass and radius respectively, and F for the force from the firecrackers. e. The bike wheel has a mass of 5.0 kg and a radius of 40 cm, and each firecracker exerts a force of 30 N Calculate the magnitude and direction of the angular acceleration of the bike wheel. f. You decide to spin the bike wheel clockwise, and give it an angular velocity of 94 rad/s. How long will it take for the firecrackers to stop the bike wheels motion?
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