For the figure shown below G1 and G2 represent two gears G1

For the figure shown below, G_1 and G_2 represent two gears, G_1 has radius of r_1 and G_2 has radius of r_2. (a) Given the radii of the two gears, G_1 and G_2, explain how you would find the relationship between the numbers of teeth, N_1 and N_2, on the gears. (b) State the fundamental relationship between torque, force, and the length of a lever arm. Use this idea to explain how to determine the relationship between T_1 and T_2, the torque on G_1 and G_2. (c) State the relationship between the distance traveled going around in a circle, the radius of a circle, and the number of radians of arc traversed. Use this idea to explain how to find the relationship between theta_1 and theta_2 and G_2.

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