3 Will this system give a mechanical advantage? How do you know?

Step 1: Determine the direction of rotation for the driven gear. When two gears mesh directly, they rotate in opposite directions. If the driver gear turns clockwise, the driven gear will turn counter-clockwise. Counter-clockwise Step 2: Count the number of teeth on each gear. From the image: • Driver gear (small gear) has 6 teeth. • Driven gear (large gear) has 18 teeth. Step 3: Calculate the number of revolutions for the driver gear. The relationship between the number of teeth and revolutions for meshed gears is: Revolutions of DriverRevolutions of Driven = Number of teeth on DrivenNumber of teeth on Driver Let R_D be the revolutions of the driver gear and R_d be the revolutions of the driven gear. Let N_D be the number of teeth on the driver gear and N_d be the number of teeth on the driven gear. We have N_D = 6 and N_d = 18. We want to find R_D when R_d = 1. (R_D)/(1) = (18)/(6) R_D = 3 The driver gear needs to turn 3 revolutions. 3 revolutions Step 4: Determine if the system provides a mechanical advantage and explain why. The system consists of a small driver gear connected to a large driven gear. This configuration reduces the output speed but increases the output turning force (torque). The problem statement also explicitly mentions: "A small driver gear connected to a large driven gear will change a fast turning speed into a slower turning speed." and "This system gives a mechanical advantage." The reminder box defines mechanical advantage as the turning force at the output axle being greater than the turning force at the input axle. Since the driven gear is larger than the driver gear, it will produce a greater turning force. Yes, this system will give a mechanical advantage. This is because a smaller driver gear is connected to a larger driven gear, which results in a greater turning force (torque) at the output axle compared to the input axle. Last free one today — make it count tomorrow, or type /upgrade for unlimited.