Understanding gear ratio calculation

What happens to the output speed if a smaller gear drives a larger gear?

Answer: When a smaller gear drives a larger gear, the output speed decreases while the torque increases.

How do you calculate the gear ratio in a gear train?

Answer: The gear ratio is calculated by dividing the number of teeth on the driven gear by the number of teeth on the driving gear.

If a driving gear has 20 teeth and a driven gear has 40 teeth, what is the gear ratio?

Answer: The gear ratio is calculated by dividing the number of teeth on the driven gear by the number of teeth on the driving gear. Thus, 40 ÷ 20 = 2. The gear ratio is 1:2, meaning the driven gear rotates once for every two rotations of the driving gear.

A gear train consists of three gears: Gear A (30 teeth), Gear B (20 teeth), and Gear C (10 teeth). If Gear A is the driving gear and Gear C is the final driven gear, what is the overall gear ratio from Gear A to Gear C?

Answer: The gear ratio from Gear A to Gear B is 30 ÷ 20 = 1.5:1, and from Gear B to Gear C is 20 ÷ 10 = 2:1. Multiplying these ratios gives the overall gear ratio: 1.5 × 2 = 3. Therefore, the gear ratio from Gear A to Gear C is 3:1.

How does the gear ratio affect the speed and torque of the driven gear compared to the driving gear?

Answer: A higher gear ratio means the driven gear has more teeth than the driving gear, which decreases the speed of the driven gear but increases its torque.

What is the gear ratio if the driving gear has 15 teeth and the driven gear has 45 teeth?

Answer: The gear ratio is calculated by dividing the number of teeth on the driven gear by the number of teeth on the driving gear. Thus, 45 ÷ 15 = 3. The gear ratio is 1:3, meaning the driven gear rotates once for every three rotations of the driving gear.

In a compound gear train, if Gear A (15 teeth) drives Gear B (30 teeth) which is on the same shaft as Gear C (20 teeth) driving Gear D (40 teeth), what is the overall gear ratio from Gear A to Gear D?

Answer: First, calculate the gear ratio from Gear A to Gear B: 30 ÷ 15 = 2:1. Next, calculate the gear ratio from Gear C to Gear D: 40 ÷ 20 = 2:1. Multiply these ratios for the overall gear ratio: 2 × 2 = 4. Therefore, the overall gear ratio from Gear A to Gear D is 1:4.

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Author: ycthk