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Wheel Speed Calculator

Formula

To calculate the wheel speed:

$S = \left[ 2 \times \pi \times \left(\frac{D}{2}\right) \right] \times \left(\frac{RPM}{60}\right)$

Where:

$S$ is the wheel speed (meters per minute)
$D$ is the diameter of the wheel (meters)
$RPM$ is the rotations per minute

Wheel Speed Definition

Wheel speed refers to the instantaneous tangential velocity of a wheel rotating at a given RPM. It indicates how fast a point on the edge of the wheel is moving. This calculation is important for various applications, including vehicle speed measurement and machinery analysis.

Example Calculation 1

Let's assume the following values:

Diameter of the Wheel (D) = 0.5 meters
Rotations Per Minute (RPM) = 300

Step 1: Use the formula:

$S = \left[ 2 \times \pi \times \left(\frac{0.5}{2}\right) \right] \times \left(\frac{300}{60}\right) = \left[ \pi \times 0.25 \right] \times 5 = 1.9635 \times 5 = 9.82$

Step 2: Display the result:

The wheel speed is 9.82 meters per minute.

Example Calculation 2

Let's assume the following values:

Diameter of the Wheel (D) = 1 meter
Rotations Per Minute (RPM) = 150

Step 1: Use the formula:

$S = \left[ 2 \times \pi \times \left(\frac{1}{2}\right) \right] \times \left(\frac{150}{60}\right) = \left[ \pi \times 1 \right] \times 2.5 = 3.1416 \times 2.5 = 7.85$

Step 2: Display the result:

The wheel speed is 7.85 meters per minute.