Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Suppose we wish to use a 2 gear system to increase the torque applied to lift th

ID: 583574 • Letter: S

Question

Suppose we wish to use a 2 gear system to increase the torque applied to lift the lever arm. Suppose we have on hand a 22 tooth gear and a 44 tooth gear, and that the gears have the same circular pitch and can thus be mated.

Which gear (22 or 44 tooth) should we attach to the motor? ___________

Which gear (22 or 44 tooth) should we attach to the lever arm? ___________

If the motor shaft speed is 100 RPM, what is the speed of the lever arm with the 2-gear system (assume the 2-gear system increases the torque delivered the lever arm)? _____

Explanation / Answer

Here ,

as we have to increase the toqure ,

larger gear must be attached to the lift arm

gear attached to the motor arm = 22 tooth

gear attached to the lift arm = 44 tooth

motor shaft speed = 100 rpm

speed of lift arm = (22/44) * speed of motor

speed of lift arm = (100/2) rpm

speed of lift arm is 50 rpm