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Wheel Centre Rate Formula

GoWheel Centre Rate given Required Anti-Roll Bar Rate Formula

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Wheel Centre Rate is the vertical force acting on the tire per unit vertical displacement at the location along the spindle corresponding to the wheel centerline, measured relative to the chassis. Check FAQs

K w = \frac{K r \cdot K t}{K t - K r}

K_w - Wheel Centre Rate?K_r - Ride Rate?K_t - Tyre Vertical Rate?

Wheel Centre Rate Example

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Here is how the Wheel Centre Rate equation looks like with Values.

Here is how the Wheel Centre Rate equation looks like with Units.

Here is how the Wheel Centre Rate equation looks like.

35238.9997 = \frac{31756.4 \cdot 321330}{321330 - 31756.4}

35238.9997N/m = \frac{31756.4N/m \cdot 321330N/m}{321330N/m - 31756.4N/m}

35238.9997 = \frac{31756.4 \cdot 321330}{321330 - 31756.4}

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Wheel Centre Rate Solution

Follow our step by step solution on how to calculate Wheel Centre Rate?

FIRST Step Consider the formula

K w = \frac{K r \cdot K t}{K t - K r}

Next Step Substitute values of Variables

∴

K w = \frac{31756.4N/m \cdot 321330N/m}{321330N/m - 31756.4N/m}

Next Step Prepare to Evaluate

∴

K w = \frac{31756.4 \cdot 321330}{321330 - 31756.4}

Next Step Evaluate

∴

K w = 35238.9997292571N/m

LAST Step Rounding Answer

∴

K w = 35238.9997N/m

Wheel Centre Rate Formula Elements

Variables

Wheel Centre Rate

Wheel Centre Rate is the vertical force acting on the tire per unit vertical displacement at the location along the spindle corresponding to the wheel centerline, measured relative to the chassis.

Symbol: K_w

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Wheel Centre Rate

Ride Rate

Ride Rate is defined as vertical force per unit vertical displacement of the tire ground contact with respect to chassis.

Symbol: K_r

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Ride Rate

Tyre Vertical Rate

Tyre Vertical Rate is the spring rate controlled by the tyre compound, sidewall stiffness and operating pressure.

Symbol: K_t

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Tyre Vertical Rate

Other Formulas to find Wheel Centre Rate

Go Wheel Centre Rate given Required Anti-Roll Bar Rate

K w = \frac{K Φ \cdot \frac{K t \cdot \frac{a^{2}}{2}}{K t \cdot \frac{a^{2}}{2} - K Φ} - K a}{\frac{a^{2}}{2}}

Other formulas in Wheel Centre Rates for Independent Suspension category

Go Required Anti-Roll Bar Rate

K a = K Φ \cdot \frac{K t \cdot \frac{a^{2}}{2}}{K t \cdot \frac{a^{2}}{2} - K Φ} - K w \cdot \frac{a^{2}}{2}

Go Assumed Initial Roll Rate given Required Anti-Roll Bar Rate

K Φ = (K a + K w \cdot \frac{a^{2}}{2}) \cdot \frac{K t \cdot \frac{a^{2}}{2}}{K t \cdot \frac{a^{2}}{2} + K a + K w \cdot \frac{a^{2}}{2}}

Go Tyre Rate given Required Anti-Roll Bar Rate

K t = (\frac{(K a + K w \cdot \frac{a^{2}}{2}) \cdot K Φ}{(K a + K w \cdot \frac{a^{2}}{2}) - K Φ}) \cdot \frac{2}{a^{2}}

Go Ride Rate given Wheel Centre Rate

K r = \frac{K t \cdot K w}{K t + K w}

How to Evaluate Wheel Centre Rate?

Wheel Centre Rate evaluator uses Wheel Centre Rate = (Ride Rate*Tyre Vertical Rate)/(Tyre Vertical Rate-Ride Rate) to evaluate the Wheel Centre Rate, The Wheel centre rate formula is defined to find the vertical force acting on the tire per unit vertical displacement at the location along the spindle corresponding to the wheel centerline, measured relative to the chassis. Wheel Centre Rate is denoted by K_w symbol.

How to evaluate Wheel Centre Rate using this online evaluator? To use this online evaluator for Wheel Centre Rate, enter Ride Rate (K_r) & Tyre Vertical Rate (K_t) and hit the calculate button.

FAQs on Wheel Centre Rate

What is the formula to find Wheel Centre Rate?

The formula of Wheel Centre Rate is expressed as Wheel Centre Rate = (Ride Rate*Tyre Vertical Rate)/(Tyre Vertical Rate-Ride Rate). Here is an example- 35239 = (31756.4*321330)/(321330-31756.4).

How to calculate Wheel Centre Rate?

With Ride Rate (K_r) & Tyre Vertical Rate (K_t) we can find Wheel Centre Rate using the formula - Wheel Centre Rate = (Ride Rate*Tyre Vertical Rate)/(Tyre Vertical Rate-Ride Rate).

What are the other ways to Calculate Wheel Centre Rate?

Here are the different ways to Calculate Wheel Centre Rate-

Wheel Centre Rate=(Assumed Initial Roll Rate*(Tyre Vertical Rate*(Track Width of Vehicle^2)/2)/(Tyre Vertical Rate*(Track Width of Vehicle^2)/2-Assumed Initial Roll Rate)-Required Anti Roll Bar Rate)/((Track Width of Vehicle^2)/2)

Can the Wheel Centre Rate be negative?

No, the Wheel Centre Rate, measured in Surface Tension cannot be negative.

Which unit is used to measure Wheel Centre Rate?

Wheel Centre Rate is usually measured using the Newton per Meter[N/m] for Surface Tension. Millinewton per Meter[N/m], Gram-Force per Centimeter[N/m], Dyne per Centimeter[N/m] are the few other units in which Wheel Centre Rate can be measured.

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Wheel Centre Rate Formula

​GoWheel Centre Rate given Required Anti-Roll Bar Rate Formula

Wheel Centre Rate Example

Wheel Centre Rate Solution

Wheel Centre Rate Formula Elements

Other Formulas to find Wheel Centre Rate

Other formulas in Wheel Centre Rates for Independent Suspension category

How to Evaluate Wheel Centre Rate?

FAQs on Wheel Centre Rate

Variable Name

GoWheel Centre Rate given Required Anti-Roll Bar Rate Formula