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Breaking Retardation on Rear Wheel Formula

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Braking Retardation is the rate of decrease in speed of a racing car when the rear wheel brake is applied to slow down or stop the vehicle. Check FAQs

a = [g] \cdot (\frac{μ RW \cdot (b - x) \cdot \cos (θ)}{b + μ RW \cdot h} - \sin (θ))

a - Braking Retardation?μ_RW - Friction Coefficient on Rear Wheel?b - Vehicle Wheelbase?x - Horizontal Distance of C.G. from Rear Axle?θ - Road Inclination Angle?h - Height of C.G. of Vehicle?[g] - Gravitational acceleration on Earth?

Breaking Retardation on Rear Wheel Example

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Here is how the Breaking Retardation on Rear Wheel equation looks like with Values.

Here is how the Breaking Retardation on Rear Wheel equation looks like with Units.

Here is how the Breaking Retardation on Rear Wheel equation looks like.

0.8688 = 9.8066 \cdot (\frac{0.48 \cdot (2.7 - 1.2) \cdot \cos (10)}{2.7 + 0.48 \cdot 0.0079} - \sin (10))

0.8688m/s² = 9.8066m/s² \cdot (\frac{0.48 \cdot (2.7m - 1.2m) \cdot \cos (10°)}{2.7m + 0.48 \cdot 0.0079m} - \sin (10°))

0.8688 = 9.8066 \cdot (\frac{0.48 \cdot (2.7 - 1.2) \cdot \cos (10)}{2.7 + 0.48 \cdot 0.0079} - \sin (10))

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Breaking Retardation on Rear Wheel Solution

Follow our step by step solution on how to calculate Breaking Retardation on Rear Wheel?

FIRST Step Consider the formula

a = [g] \cdot (\frac{μ RW \cdot (b - x) \cdot \cos (θ)}{b + μ RW \cdot h} - \sin (θ))

Next Step Substitute values of Variables

∴

a = [g] \cdot (\frac{0.48 \cdot (2.7m - 1.2m) \cdot \cos (10°)}{2.7m + 0.48 \cdot 0.0079m} - \sin (10°))

Next Step Substitute values of Constants

∴

a = 9.8066m/s² \cdot (\frac{0.48 \cdot (2.7m - 1.2m) \cdot \cos (10°)}{2.7m + 0.48 \cdot 0.0079m} - \sin (10°))

Next Step Convert Units

∴

a = 9.8066m/s² \cdot (\frac{0.48 \cdot (2.7m - 1.2m) \cdot \cos (0.1745rad)}{2.7m + 0.48 \cdot 0.0079m} - \sin (0.1745rad))

Next Step Prepare to Evaluate

∴

a = 9.8066 \cdot (\frac{0.48 \cdot (2.7 - 1.2) \cdot \cos (0.1745)}{2.7 + 0.48 \cdot 0.0079} - \sin (0.1745))

Next Step Evaluate

∴

a = 0.868849842475834m/s²

LAST Step Rounding Answer

∴

a = 0.8688m/s²

Breaking Retardation on Rear Wheel Formula Elements

Variables

Constants

Functions

Braking Retardation

Braking Retardation is the rate of decrease in speed of a racing car when the rear wheel brake is applied to slow down or stop the vehicle.

Symbol: a

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Braking Retardation

Friction Coefficient on Rear Wheel

Friction Coefficient on Rear Wheel is a measure of the resistance to motion between the rear wheel and the road surface during racing car braking.

Symbol: μ_RW

Measurement: NAUnit: Unitless