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Braking Torque of Trailing Shoe Formula

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Trailing Shoe Braking Torque is defined as the torque developed at the brake shoes because of the braking force acting on them respectively. Check FAQs

T t = \frac{W t \cdot n t \cdot μ 0 \cdot k}{n t - μ 0 \cdot k}

T_t - Trailing Shoe Braking Torque?W_t - Trailing Shoe Actuating Force?n_t - Force of Trailing Shoe Distance from Horizontal?μ₀ - Friction Coefficient for Smooth Road?k - Effective Radius of Normal Force?

Braking Torque of Trailing Shoe Example

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Here is how the Braking Torque of Trailing Shoe equation looks like with Values.

Here is how the Braking Torque of Trailing Shoe equation looks like with Units.

Here is how the Braking Torque of Trailing Shoe equation looks like.

4.4287 = \frac{80 \cdot 2.2 \cdot 0.18 \cdot 0.3}{2.2 - 0.18 \cdot 0.3}

4.4287N*m = \frac{80N \cdot 2.2m \cdot 0.18 \cdot 0.3m}{2.2m - 0.18 \cdot 0.3m}

4.4287 = \frac{80 \cdot 2.2 \cdot 0.18 \cdot 0.3}{2.2 - 0.18 \cdot 0.3}

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Braking Torque of Trailing Shoe Solution

Follow our step by step solution on how to calculate Braking Torque of Trailing Shoe?

FIRST Step Consider the formula

T t = \frac{W t \cdot n t \cdot μ 0 \cdot k}{n t - μ 0 \cdot k}

Next Step Substitute values of Variables

∴

T t = \frac{80N \cdot 2.2m \cdot 0.18 \cdot 0.3m}{2.2m - 0.18 \cdot 0.3m}

Next Step Prepare to Evaluate

∴

T t = \frac{80 \cdot 2.2 \cdot 0.18 \cdot 0.3}{2.2 - 0.18 \cdot 0.3}

Next Step Evaluate

∴

T t = 4.4287045666356N*m

LAST Step Rounding Answer

∴

T t = 4.4287N*m

Braking Torque of Trailing Shoe Formula Elements

Variables

Trailing Shoe Braking Torque

Trailing Shoe Braking Torque is defined as the torque developed at the brake shoes because of the braking force acting on them respectively.

Symbol: T_t

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Trailing Shoe Braking Torque

Trailing Shoe Actuating Force

Trailing Shoe Actuating Force is defined as the force acting on the trailing shoe when braking force is applied on the brake drum.

Symbol: W_t

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Trailing Shoe Actuating Force

Force of Trailing Shoe Distance from Horizontal

Force of Trailing Shoe Distance from Horizontal is defined as the distance of force on trailing shoe from the horizontal.

Symbol: n_t

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Force of Trailing Shoe Distance from Horizontal

Friction Coefficient for Smooth Road

Friction Coefficient for Smooth Road is the friction coefficient generated between wheels and smooth road when the brakes are applied.

Symbol: μ₀

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Friction Coefficient for Smooth Road

Effective Radius of Normal Force

Effective Radius of Normal Force is the distance of the normal force acting on the drum brake from the center of the brake drum.

Symbol: k

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Effective Radius of Normal Force

Other formulas in Vehicle Braking Dynamics category

Go Braking Force on Brake Drum on Level Road

F = \frac{W}{g} \cdot f

Go Gradient Descend Brake Drum Force

F = \frac{W}{g} \cdot f + W \cdot \sin (α inc)

Go Braking Torque of Leading Shoe

T l = \frac{W l \cdot m \cdot μf \cdot k}{n t + (μf \cdot k)}

Go Braking Torque of Disc Brake

T s = 2 \cdot p \cdot a p \cdot μ p \cdot R m \cdot n

How to Evaluate Braking Torque of Trailing Shoe?

Braking Torque of Trailing Shoe evaluator uses Trailing Shoe Braking Torque = (Trailing Shoe Actuating Force*Force of Trailing Shoe Distance from Horizontal*Friction Coefficient for Smooth Road*Effective Radius of Normal Force)/(Force of Trailing Shoe Distance from Horizontal-Friction Coefficient for Smooth Road*Effective Radius of Normal Force) to evaluate the Trailing Shoe Braking Torque, The Braking torque of trailing shoe formula is defined as the torque produced on the trailing shoe because of the braking force acting on the leading shoe during braking operation. Trailing Shoe Braking Torque is denoted by T_t symbol.

How to evaluate Braking Torque of Trailing Shoe using this online evaluator? To use this online evaluator for Braking Torque of Trailing Shoe, enter Trailing Shoe Actuating Force (W_t), Force of Trailing Shoe Distance from Horizontal (n_t), Friction Coefficient for Smooth Road (μ₀) & Effective Radius of Normal Force (k) and hit the calculate button.

FAQs on Braking Torque of Trailing Shoe

What is the formula to find Braking Torque of Trailing Shoe?

The formula of Braking Torque of Trailing Shoe is expressed as Trailing Shoe Braking Torque = (Trailing Shoe Actuating Force*Force of Trailing Shoe Distance from Horizontal*Friction Coefficient for Smooth Road*Effective Radius of Normal Force)/(Force of Trailing Shoe Distance from Horizontal-Friction Coefficient for Smooth Road*Effective Radius of Normal Force). Here is an example- 4.428705 = (80*2.2*0.18*0.3)/(2.2-0.18*0.3).

How to calculate Braking Torque of Trailing Shoe?

With Trailing Shoe Actuating Force (W_t), Force of Trailing Shoe Distance from Horizontal (n_t), Friction Coefficient for Smooth Road (μ₀) & Effective Radius of Normal Force (k) we can find Braking Torque of Trailing Shoe using the formula - Trailing Shoe Braking Torque = (Trailing Shoe Actuating Force*Force of Trailing Shoe Distance from Horizontal*Friction Coefficient for Smooth Road*Effective Radius of Normal Force)/(Force of Trailing Shoe Distance from Horizontal-Friction Coefficient for Smooth Road*Effective Radius of Normal Force).

Can the Braking Torque of Trailing Shoe be negative?

No, the Braking Torque of Trailing Shoe, measured in Torque cannot be negative.

Which unit is used to measure Braking Torque of Trailing Shoe?

Braking Torque of Trailing Shoe is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Braking Torque of Trailing Shoe can be measured.

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Braking Torque of Trailing Shoe Formula

Braking Torque of Trailing Shoe Example

Braking Torque of Trailing Shoe Solution

Braking Torque of Trailing Shoe Formula Elements

Other formulas in Vehicle Braking Dynamics category

How to Evaluate Braking Torque of Trailing Shoe?

FAQs on Braking Torque of Trailing Shoe

Variable Name