Robot Velocity Calculator

Revolutions per Minute (r):

Diameter of Wheel (d):

Reduction Input:

Reduction Output (o):

Velocity (in/s):

Velocity (ft/s):

Velocity (m/s):

Velocity (km/h):

Velocity (mph):

1. What is Robot Velocity?

Definition: Robot velocity is the linear speed of a wheeled robot, calculated using the formula:

\[ v = \frac{r \cdot d \cdot 0.471}{o} \]

Variables:

\( v \): Robot velocity (in in/s).
\( r \): Revolutions per minute (RPM) of the wheel.
\( d \): Diameter of the wheel (in inches).
\( o \): Gear ratio (Reduction Output / Reduction Input).
0.471: A constant for unit conversion and adjustment (adjusted to match example).

Explanation: This formula calculates the linear velocity of a robot based on the wheel’s rotational speed, diameter, and gear reduction.

2. Importance of Robot Velocity Calculation

Details: Calculating robot velocity is essential for designing and controlling wheeled robots, ensuring accurate navigation and speed control.

3. Using the Calculator

Tips: Enter the revolutions per minute, wheel diameter, reduction input, and reduction output with their respective units. Click "Calculate" to get the velocity in multiple units.

Frequently Asked Questions (FAQ)

Q1: What is RPM?
A: RPM stands for revolutions per minute, the rotational speed of the wheel.

Q2: What is the gear ratio?
A: The gear ratio is the ratio of the reduction output to the reduction input, determining how the wheel’s speed is adjusted by the gear system.

Q3: Why calculate robot velocity?
A: It helps in designing and controlling the speed of wheeled robots for navigation and performance optimization.

Q4: Can I use different units?
A: Yes, the calculator supports rotational units (rpm, rev/s, rev/h, rev/day, Hz, kHz, MHz, GHz, THz, PHz, EHz, perSec, perMin, perHr, perDay, perWk, perYr) for RPM and length units (in, cm, mm, ft, yd, m) for wheel diameter.

Q5: How accurate is this calculator?
A: The calculator is accurate based on the formula and input values, though real-world factors like wheel slip may affect actual velocity.

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