Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel Calculator

✖Slip Ratio is the ratio of the difference between the tire's rotational speed and its translational speed to its translational speed in tire behavior.ⓘ Slip Ratio [SR]			+10% -10%
✖Angular Velocity of Free Rolling Wheel is the speed at which a wheel rotates around its axis when it is not driven by a torque.ⓘ Angular Velocity of Free Rolling Wheel [Ω₀]			+10% -10%

✖Angular Velocity of Driven or Braked Wheel is the rate of change of angular displacement of a wheel in a racing car, affecting its speed and handling.ⓘ Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel [Ω]

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Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel

Formula

Ω = (SR + 1) \cdot Ω 0

Example

58.41 rad/s = (0.18 + 1) \cdot 49.5 rad/s

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Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Velocity of Driven or Braked Wheel = (Slip Ratio+1)*Angular Velocity of Free Rolling Wheel
Ω = (SR+1)*Ω₀
This formula uses 3 Variables

Variables Used

Angular Velocity of Driven or Braked Wheel - (Measured in Radian per Second) - Angular Velocity of Driven or Braked Wheel is the rate of change of angular displacement of a wheel in a racing car, affecting its speed and handling.
Slip Ratio - Slip Ratio is the ratio of the difference between the tire's rotational speed and its translational speed to its translational speed in tire behavior.
Angular Velocity of Free Rolling Wheel - (Measured in Radian per Second) - Angular Velocity of Free Rolling Wheel is the speed at which a wheel rotates around its axis when it is not driven by a torque.

STEP 1: Convert Input(s) to Base Unit

Slip Ratio: 0.18 --> No Conversion Required
Angular Velocity of Free Rolling Wheel: 49.5 Radian per Second --> 49.5 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ω = (SR+1)*Ω₀ --> (0.18+1)*49.5

Evaluating ... ...

Ω = 58.41

STEP 3: Convert Result to Output's Unit

58.41 Radian per Second --> No Conversion Required

FINAL ANSWER

58.41 Radian per Second <-- Angular Velocity of Driven or Braked Wheel

(Calculation completed in 00.004 seconds)

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Home » Physics » Automobile » Race Car Vehicle Dynamics » Tire Behavior in Racing Car » Mechanical » Angular Velocity » Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel

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Created by Peri Krishna Karthik

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

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< Angular Velocity Calculators

Angular Velocity of Driven Wheel given Longitudinal Slip Velocity, Velocity of Free Rolling Wheel

Go Angular Velocity of Driven or Braked Wheel = Longitudinal Slip Angular Velocity+Angular Velocity of Free Rolling Wheel

Angular Velocity of Free Rolling Wheel given Longitudinal Slip Velocity, Velocity of Driven Wheel

Go Angular Velocity of Free Rolling Wheel = Angular Velocity of Driven or Braked Wheel-Longitudinal Slip Angular Velocity

Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel

Go Angular Velocity of Driven or Braked Wheel = (Slip Ratio+1)*Angular Velocity of Free Rolling Wheel

Angular Velocity of Free Rolling Wheel given Slip Ratio and Angular Velocity of Driven Wheel

Go Angular Velocity of Free Rolling Wheel = Angular Velocity of Driven or Braked Wheel/(Slip Ratio+1)

Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel Formula

Angular Velocity of Driven or Braked Wheel = (Slip Ratio+1)*Angular Velocity of Free Rolling Wheel
Ω = (SR+1)*Ω₀

What is the Significance of Slip Ratio?

The significance of slip ratio lies in its impact on a vehicle's traction and stability. Slip ratio helps in understanding the interaction between the tires and the road surface, particularly during acceleration, braking, and cornering.

In braking, a higher slip ratio means the tires are sliding rather than rolling, which can lead to loss of control. In acceleration, an optimal slip ratio is necessary for maximizing traction without excessive wheel spin. Proper management of slip ratio is critical for vehicle safety systems like anti-lock braking systems (ABS) and traction control systems (TCS), which work to maintain the ideal slip ratio for safe and effective driving.

How to Calculate Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel?

Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel calculator uses Angular Velocity of Driven or Braked Wheel = (Slip Ratio+1)*Angular Velocity of Free Rolling Wheel to calculate the Angular Velocity of Driven or Braked Wheel, Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel formula is defined as a measure of the rotational speed of the driven wheel in a vehicle, taking into account the slip ratio and the angular velocity of the free rolling wheel, providing a crucial parameter in understanding the vehicle's dynamics and traction. Angular Velocity of Driven or Braked Wheel is denoted by Ω symbol.

How to calculate Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel using this online calculator? To use this online calculator for Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel, enter Slip Ratio (SR) & Angular Velocity of Free Rolling Wheel (Ω₀) and hit the calculate button. Here is how the Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel calculation can be explained with given input values -> 58.41 = (0.18+1)*49.5.

FAQ

What is Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel?

Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel formula is defined as a measure of the rotational speed of the driven wheel in a vehicle, taking into account the slip ratio and the angular velocity of the free rolling wheel, providing a crucial parameter in understanding the vehicle's dynamics and traction and is represented as Ω = (SR+1)*Ω₀ or Angular Velocity of Driven or Braked Wheel = (Slip Ratio+1)*Angular Velocity of Free Rolling Wheel. Slip Ratio is the ratio of the difference between the tire's rotational speed and its translational speed to its translational speed in tire behavior & Angular Velocity of Free Rolling Wheel is the speed at which a wheel rotates around its axis when it is not driven by a torque.

How to calculate Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel?

Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel formula is defined as a measure of the rotational speed of the driven wheel in a vehicle, taking into account the slip ratio and the angular velocity of the free rolling wheel, providing a crucial parameter in understanding the vehicle's dynamics and traction is calculated using Angular Velocity of Driven or Braked Wheel = (Slip Ratio+1)*Angular Velocity of Free Rolling Wheel. To calculate Angular Velocity of Driven Wheel given Slip Ratio and Angular Velocity of Free Rolling Wheel, you need Slip Ratio (SR) & Angular Velocity of Free Rolling Wheel (Ω₀). With our tool, you need to enter the respective value for Slip Ratio & Angular Velocity of Free Rolling Wheel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Angular Velocity of Driven or Braked Wheel?

In this formula, Angular Velocity of Driven or Braked Wheel uses Slip Ratio & Angular Velocity of Free Rolling Wheel. We can use 1 other way(s) to calculate the same, which is/are as follows -

Angular Velocity of Driven or Braked Wheel = Longitudinal Slip Angular Velocity+Angular Velocity of Free Rolling Wheel

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