Installation Ratio given Wheel Rate Calculator

✖Wheel Rate of Vehicle is the ratio of the spring rate of the suspension to the motion ratio of the tire, affecting the racing car's handling and stability.ⓘ Wheel Rate of Vehicle [K_t]			+10% -10%
✖Spring rate is the measure of a spring's stiffness in a racing car's tire behavior, affecting the vehicle's handling and responsiveness during cornering and braking.ⓘ Spring Rate [K]			+10% -10%
✖Damper angle from vertical is the angle at which the damper is positioned in relation to the vertical axis of the racing car's tire.ⓘ Damper Angle from Vertical [Φ]			+10% -10%

✖Installation ratio is the proportion of tire installation that affects the racing car's performance, handling, and overall tire behavior during a race.ⓘ Installation Ratio given Wheel Rate [IR]

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Installation Ratio given Wheel Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Installation Ratio = sqrt(Wheel Rate of Vehicle/(Spring Rate*cos(Damper Angle from Vertical)))
IR = sqrt(K_t/(K*cos(Φ)))
This formula uses 2 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Installation Ratio - Installation ratio is the proportion of tire installation that affects the racing car's performance, handling, and overall tire behavior during a race.
Wheel Rate of Vehicle - (Measured in Newton per Meter) - Wheel Rate of Vehicle is the ratio of the spring rate of the suspension to the motion ratio of the tire, affecting the racing car's handling and stability.
Spring Rate - (Measured in Newton per Meter) - Spring rate is the measure of a spring's stiffness in a racing car's tire behavior, affecting the vehicle's handling and responsiveness during cornering and braking.
Damper Angle from Vertical - (Measured in Radian) - Damper angle from vertical is the angle at which the damper is positioned in relation to the vertical axis of the racing car's tire.

STEP 1: Convert Input(s) to Base Unit

Wheel Rate of Vehicle: 100 Newton per Meter --> 100 Newton per Meter No Conversion Required
Spring Rate: 60311.79 Newton per Meter --> 60311.79 Newton per Meter No Conversion Required
Damper Angle from Vertical: 89.62 Degree --> 1.56416407563702 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

IR = sqrt(K_t/(K*cos(Φ))) --> sqrt(100/(60311.79*cos(1.56416407563702)))

Evaluating ... ...

IR = 0.49999999587772

STEP 3: Convert Result to Output's Unit

0.49999999587772 --> No Conversion Required

FINAL ANSWER

0.49999999587772 ≈ 0.5 <-- Installation Ratio

(Calculation completed in 00.004 seconds)

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Home » Physics » Automobile » Race Car Vehicle Dynamics » Tire Behavior in Racing Car » Mechanical » Wheel Parameters » Installation Ratio given Wheel Rate

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Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

Peri Krishna Karthik has created this Calculator and 200+ more calculators!

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national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

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< Wheel Parameters Calculators

Angle between Traction Force and Horizontal Axis

LaTeX Go Angle between Traction Force and Horizontal Axis = asin(1-Curb Height/Effective Radius of Wheel)

Wheel Diameter of Vehicle

LaTeX Go Wheel Diameter of Vehicle = Rim Diameter+2*Tire Side Wall Height

Tire Side Wall Height

LaTeX Go Tire Side Wall Height = (Aspect Ratio of Tire*Tire Width)/100

Aspect Ratio of Tire

LaTeX Go Aspect Ratio of Tire = Tire Side Wall Height/Tire Width*100

Installation Ratio given Wheel Rate Formula

LaTeX Go

Installation Ratio = sqrt(Wheel Rate of Vehicle/(Spring Rate*cos(Damper Angle from Vertical)))
IR = sqrt(K_t/(K*cos(Φ)))

More about Wheel rate

Wheel rate is a measure of the effective stiffness of the suspension system measured at the wheel center. The wheel rate is the slope of a graph plotting wheel force vs wheel travel. It is expressed in Newtons per metre or N/m.

The primary contributor to the wheel rate is the suspension spring. If the suspension system has rubber bushes at the joints, the torsional stiffness of the bushes also contributes to the wheel rate of the suspension. Wheel rate in roll also includes the contribution of the anti-roll bar. The wheel rate of a suspension system can be used to calculate the ride frequency of a vehicle if the sprung mass is known.

How to Calculate Installation Ratio given Wheel Rate?

Installation Ratio given Wheel Rate calculator uses Installation Ratio = sqrt(Wheel Rate of Vehicle/(Spring Rate*cos(Damper Angle from Vertical))) to calculate the Installation Ratio, Installation Ratio given Wheel Rate formula is defined as a dimensionless quantity that characterizes the relationship between the wheel rate and the spring rate of a suspension system, providing a measure of the suspension's ability to absorb bumps and maintain vehicle stability. Installation Ratio is denoted by IR symbol.

How to calculate Installation Ratio given Wheel Rate using this online calculator? To use this online calculator for Installation Ratio given Wheel Rate, enter Wheel Rate of Vehicle (K_t), Spring Rate (K) & Damper Angle from Vertical (Φ) and hit the calculate button. Here is how the Installation Ratio given Wheel Rate calculation can be explained with given input values -> 0.495211 = sqrt(100/(60311.79*cos(1.56416407563702))).

FAQ

What is Installation Ratio given Wheel Rate?

Installation Ratio given Wheel Rate formula is defined as a dimensionless quantity that characterizes the relationship between the wheel rate and the spring rate of a suspension system, providing a measure of the suspension's ability to absorb bumps and maintain vehicle stability and is represented as IR = sqrt(K_t/(K*cos(Φ))) or Installation Ratio = sqrt(Wheel Rate of Vehicle/(Spring Rate*cos(Damper Angle from Vertical))). Wheel Rate of Vehicle is the ratio of the spring rate of the suspension to the motion ratio of the tire, affecting the racing car's handling and stability, Spring rate is the measure of a spring's stiffness in a racing car's tire behavior, affecting the vehicle's handling and responsiveness during cornering and braking & Damper angle from vertical is the angle at which the damper is positioned in relation to the vertical axis of the racing car's tire.

How to calculate Installation Ratio given Wheel Rate?

Installation Ratio given Wheel Rate formula is defined as a dimensionless quantity that characterizes the relationship between the wheel rate and the spring rate of a suspension system, providing a measure of the suspension's ability to absorb bumps and maintain vehicle stability is calculated using Installation Ratio = sqrt(Wheel Rate of Vehicle/(Spring Rate*cos(Damper Angle from Vertical))). To calculate Installation Ratio given Wheel Rate, you need Wheel Rate of Vehicle (K_t), Spring Rate (K) & Damper Angle from Vertical (Φ). With our tool, you need to enter the respective value for Wheel Rate of Vehicle, Spring Rate & Damper Angle from Vertical and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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