Damper angle from Vertical 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%
✖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 [IR]			+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 given wheel rate [Φ]

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Damper angle from Vertical given wheel rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Damper Angle from Vertical = acos(Wheel Rate of Vehicle/(Spring Rate*(Installation Ratio^2)))
Φ = acos(K_t/(K*(IR^2)))
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)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)

Variables Used

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.
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.
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.

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
Installation Ratio: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ = acos(K_t/(K*(IR^2))) --> acos(100/(60311.79*(0.5^2)))

Evaluating ... ...

Φ = 1.56416407574638

STEP 3: Convert Result to Output's Unit

1.56416407574638 Radian -->89.6200000062657 Degree (Check conversion here)

FINAL ANSWER

89.6200000062657 ≈ 89.62 Degree <-- Damper Angle from Vertical

(Calculation completed in 00.004 seconds)

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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!

Verified by sanjay shiva

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

Damper angle from Vertical given wheel rate Formula

LaTeX Go

Damper Angle from Vertical = acos(Wheel Rate of Vehicle/(Spring Rate*(Installation Ratio^2)))
Φ = acos(K_t/(K*(IR^2)))

More about Wheel rate

Wheel rate is a measure of the effective stiffness of the suspension system measured at the wheel centre. 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 Damper angle from Vertical given wheel rate?

Damper angle from Vertical given wheel rate calculator uses Damper Angle from Vertical = acos(Wheel Rate of Vehicle/(Spring Rate*(Installation Ratio^2))) to calculate the Damper Angle from Vertical, Damper angle from Vertical given wheel rate formula is defined as a measure of the angle between the vertical axis and the damper axis, which is critical in understanding the suspension geometry and kinematics of a vehicle, particularly in relation to its wheel rate and other dynamic characteristics. Damper Angle from Vertical is denoted by Φ symbol.

How to calculate Damper angle from Vertical given wheel rate using this online calculator? To use this online calculator for Damper angle from Vertical given wheel rate, enter Wheel Rate of Vehicle (K_t), Spring Rate (K) & Installation Ratio (IR) and hit the calculate button. Here is how the Damper angle from Vertical given wheel rate calculation can be explained with given input values -> 5135.263 = acos(100/(60311.79*(0.5^2))).

FAQ

What is Damper angle from Vertical given wheel rate?

Damper angle from Vertical given wheel rate formula is defined as a measure of the angle between the vertical axis and the damper axis, which is critical in understanding the suspension geometry and kinematics of a vehicle, particularly in relation to its wheel rate and other dynamic characteristics and is represented as Φ = acos(K_t/(K*(IR^2))) or Damper Angle from Vertical = acos(Wheel Rate of Vehicle/(Spring Rate*(Installation Ratio^2))). 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 & Installation ratio is the proportion of tire installation that affects the racing car's performance, handling, and overall tire behavior during a race.

How to calculate Damper angle from Vertical given wheel rate?

Damper angle from Vertical given wheel rate formula is defined as a measure of the angle between the vertical axis and the damper axis, which is critical in understanding the suspension geometry and kinematics of a vehicle, particularly in relation to its wheel rate and other dynamic characteristics is calculated using Damper Angle from Vertical = acos(Wheel Rate of Vehicle/(Spring Rate*(Installation Ratio^2))). To calculate Damper angle from Vertical given wheel rate, you need Wheel Rate of Vehicle (K_t), Spring Rate (K) & Installation Ratio (IR). With our tool, you need to enter the respective value for Wheel Rate of Vehicle, Spring Rate & Installation Ratio 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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