1. What is Transmission Ratio?

The transmission ratio is the ratio of input speed to output speed in a mechanical system. It describes how the rotational speed is changed between the input and output of a transmission system.

2. How Does the Calculator Work?

The calculator uses the transmission ratio formula:

Where:

• \( \text{input\_speed} \) — Input rotational speed (rpm)
• \( \text{output\_speed} \) — Output rotational speed (rpm)
• \( \text{ratio} \) — Dimensionless ratio

Explanation: The ratio shows how many times the input speed is greater than the output speed. A ratio greater than 1 indicates speed reduction, while less than 1 indicates speed increase.

3. Importance of Transmission Ratio

Details: Transmission ratio is crucial in mechanical design for determining torque multiplication, speed conversion, and proper gear selection in transmission systems.

4. Using the Calculator

Tips: Enter both input and output speeds in revolutions per minute (rpm). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What does a transmission ratio of 3:1 mean?
A: It means the input speed is 3 times the output speed, or the output torque is 3 times the input torque (assuming 100% efficiency).

Q2: How is transmission ratio related to gear ratio?
A: For simple gear trains, transmission ratio equals gear ratio. For more complex systems, they may differ based on configuration.

Q3: Can the ratio be less than 1?
A: Yes, a ratio less than 1 indicates speed increase (output speed > input speed) and torque reduction.

Q4: How does ratio affect power?
A: In an ideal system, power remains constant (Power = Torque × Speed), so speed reduction results in torque increase and vice versa.

Q5: What's the difference between ratio and velocity ratio?
A: They are essentially the same when referring to rotational speed, but velocity ratio can also apply to linear motion systems.