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Braking Torque of Leading Shoe Formula

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Leading Shoe Braking Torque is defined as the torque developed at the leading shoe during braking operation. Check FAQs

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

T_l - Leading Shoe Braking Torque?W_l - Leading Shoe Actuating Force?m - Distance of Actuating Force from Horizontal?μf - Friction Coefficient between Drum and Shoe?k - Effective Radius of Normal Force?n_t - Force of Trailing Shoe Distance from Horizontal?

Braking Torque of Leading Shoe Example

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

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

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

1.2436 = \frac{105 \cdot 0.26 \cdot 0.35 \cdot 0.3}{2.2 + (0.35 \cdot 0.3)}

1.2436N*m = \frac{105N \cdot 0.26m \cdot 0.35 \cdot 0.3m}{2.2m + (0.35 \cdot 0.3m)}

1.2436 = \frac{105 \cdot 0.26 \cdot 0.35 \cdot 0.3}{2.2 + (0.35 \cdot 0.3)}

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Braking Torque of Leading Shoe Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T l = \frac{105N \cdot 0.26m \cdot 0.35 \cdot 0.3m}{2.2m + (0.35 \cdot 0.3m)}

Next Step Prepare to Evaluate

∴

T l = \frac{105 \cdot 0.26 \cdot 0.35 \cdot 0.3}{2.2 + (0.35 \cdot 0.3)}

Next Step Evaluate

∴

T l = 1.24360086767896N*m

LAST Step Rounding Answer

∴

T l = 1.2436N*m

Braking Torque of Leading Shoe Formula Elements

Variables

Leading Shoe Braking Torque

Leading Shoe Braking Torque is defined as the torque developed at the leading shoe during braking operation.

Symbol: T_l

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Leading Shoe Braking Torque

Open Variable

Leading Shoe Actuating Force

Leading Shoe Actuating Force is defined as the force exerted on the leading shoe when braking force is applied on the brake drum.

Symbol: W_l

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Leading Shoe Actuating Force

Open Variable

Distance of Actuating Force from Horizontal

Distance of Actuating Force from Horizontal is defined as the distance of the actuating force on the leading shoe from the horizontal.

Symbol: m

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance of Actuating Force from Horizontal

Open Variable

Friction Coefficient between Drum and Shoe

Friction Coefficient between Drum and Shoe is defined as the ratio between friction force and normal force.

Symbol: μf

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Friction Coefficient between Drum and Shoe

Open Variable

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

Open Variable

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

Open Variable

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 Trailing Shoe

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

Go Braking Torque of Disc Brake

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

See More

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How to Evaluate Braking Torque of Leading Shoe?

Braking Torque of Leading Shoe evaluator uses Leading Shoe Braking Torque = (Leading Shoe Actuating Force*Distance of Actuating Force from Horizontal*Friction Coefficient between Drum and Shoe*Effective Radius of Normal Force)/(Force of Trailing Shoe Distance from Horizontal+(Friction Coefficient between Drum and Shoe*Effective Radius of Normal Force)) to evaluate the Leading Shoe Braking Torque, The Braking torque of leading shoe formula is defined as the torque produced on the leading shoe because of the braking force acting on the leading shoe during braking operation. Leading Shoe Braking Torque is denoted by T_l symbol.

How to evaluate Braking Torque of Leading Shoe using this online evaluator? To use this online evaluator for Braking Torque of Leading Shoe, enter Leading Shoe Actuating Force (W_l), Distance of Actuating Force from Horizontal (m), Friction Coefficient between Drum and Shoe (μf), Effective Radius of Normal Force (k) & Force of Trailing Shoe Distance from Horizontal (n_t) and hit the calculate button.

FAQs on Braking Torque of Leading Shoe

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

The formula of Braking Torque of Leading Shoe is expressed as Leading Shoe Braking Torque = (Leading Shoe Actuating Force*Distance of Actuating Force from Horizontal*Friction Coefficient between Drum and Shoe*Effective Radius of Normal Force)/(Force of Trailing Shoe Distance from Horizontal+(Friction Coefficient between Drum and Shoe*Effective Radius of Normal Force)). Here is an example- 1.243601 = (105*0.26*0.35*0.3)/(2.2+(0.35*0.3)).

How to calculate Braking Torque of Leading Shoe?

With Leading Shoe Actuating Force (W_l), Distance of Actuating Force from Horizontal (m), Friction Coefficient between Drum and Shoe (μf), Effective Radius of Normal Force (k) & Force of Trailing Shoe Distance from Horizontal (n_t) we can find Braking Torque of Leading Shoe using the formula - Leading Shoe Braking Torque = (Leading Shoe Actuating Force*Distance of Actuating Force from Horizontal*Friction Coefficient between Drum and Shoe*Effective Radius of Normal Force)/(Force of Trailing Shoe Distance from Horizontal+(Friction Coefficient between Drum and Shoe*Effective Radius of Normal Force)).

Can the Braking Torque of Leading Shoe be negative?

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

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

Braking Torque of Leading 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 Leading Shoe can be measured.

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