Rotating Speed Of Driven Wheel Calculator

Formula Used:

\[ N_w = \frac{N_{pp}}{i \times i_o} \]

Rotating Speed of Driven Wheels (N_w):

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1. What is Rotating Speed of Driven Wheels?

The Rotating Speed of Driven Wheels (N_w) is the rotational speed at which the vehicle's wheels rotate, measured in revolutions per minute (RPM). It represents the final output speed after all gear reductions in the transmission and final drive systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ N_w = \frac{N_{pp}}{i \times i_o} \]

Where:

\( N_w \) — Rotating Speed of Driven Wheels (RPM)
\( N_{pp} \) — Speed of Motor Shaft in Powerplant (RPM)
\( i \) — Gear Ratio of Transmission
\( i_o \) — Gear Ratio of Final Drive

Explanation: The formula calculates the wheel rotation speed by dividing the motor/engine shaft speed by the product of transmission gear ratio and final drive ratio.

3. Importance of Rotating Speed Calculation

Details: Calculating wheel rotation speed is essential for determining vehicle speed, optimizing gear ratios for performance and efficiency, and ensuring proper power transmission from the powerplant to the wheels.

4. Using the Calculator

Tips: Enter motor shaft speed in RPM, transmission gear ratio, and final drive ratio. All values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between wheel speed and vehicle speed?
A: Vehicle speed = (Wheel RPM × Wheel Circumference × 60) / (1000 × 1000) for km/h, where wheel circumference is in meters.

Q2: How do different gear ratios affect wheel speed?
A: Higher gear ratios result in lower wheel speeds for the same motor/engine RPM, providing more torque but less speed.

Q3: What is typical range for transmission gear ratios?
A: Transmission gear ratios typically range from 2:1 to 5:1 for lower gears and 0.6:1 to 1:1 for higher gears in automotive applications.

Q4: How does final drive ratio differ from transmission ratios?
A: Final drive ratio is a fixed reduction ratio in the differential, while transmission ratios are variable and selected by the driver or transmission control unit.

Q5: Can this calculator be used for electric vehicles?
A: Yes, the same formula applies to electric vehicles where N_pp would be the electric motor shaft speed.