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Torque Required to Lift Load given Load Formula

GoTorque Required to Lift Load given Effort Formula

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Torque for lifting load is described as the turning effect of force on the axis of rotation that is required in lifting the load. Check FAQs

Mt li = (W \cdot \frac{d m}{2}) \cdot (\frac{μ + \tan (α)}{1 - μ \cdot \tan (α)})

Mt_li - Torque for lifting load?W - Load on screw?d_m - Mean Diameter of Power Screw?μ - Coefficient of friction at screw thread?α - Helix angle of screw?

Torque Required to Lift Load given Load Example

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Here is how the Torque Required to Lift Load given Load equation looks like with Values.

Here is how the Torque Required to Lift Load given Load equation looks like with Units.

Here is how the Torque Required to Lift Load given Load equation looks like.

9049.0632 = (1700 \cdot \frac{46}{2}) \cdot (\frac{0.15 + \tan (4.5)}{1 - 0.15 \cdot \tan (4.5)})

9049.0632N*mm = (1700N \cdot \frac{46mm}{2}) \cdot (\frac{0.15 + \tan (4.5°)}{1 - 0.15 \cdot \tan (4.5°)})

9049.0632 = (1700 \cdot \frac{46}{2}) \cdot (\frac{0.15 + \tan (4.5)}{1 - 0.15 \cdot \tan (4.5)})

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Torque Required to Lift Load given Load Solution

Follow our step by step solution on how to calculate Torque Required to Lift Load given Load?

FIRST Step Consider the formula

Mt li = (W \cdot \frac{d m}{2}) \cdot (\frac{μ + \tan (α)}{1 - μ \cdot \tan (α)})

Next Step Substitute values of Variables

∴

Mt li = (1700N \cdot \frac{46mm}{2}) \cdot (\frac{0.15 + \tan (4.5°)}{1 - 0.15 \cdot \tan (4.5°)})

Next Step Convert Units

∴

Mt li = (1700N \cdot \frac{0.046m}{2}) \cdot (\frac{0.15 + \tan (0.0785rad)}{1 - 0.15 \cdot \tan (0.0785rad)})

Next Step Prepare to Evaluate

∴

Mt li = (1700 \cdot \frac{0.046}{2}) \cdot (\frac{0.15 + \tan (0.0785)}{1 - 0.15 \cdot \tan (0.0785)})

Next Step Evaluate

∴

Mt li = 9.04906324522647N*m

Next Step Convert to Output's Unit

∴

Mt li = 9049.06324522647N*mm

LAST Step Rounding Answer

∴

Mt li = 9049.0632N*mm

Torque Required to Lift Load given Load Formula Elements

Variables

Functions

Torque for lifting load

Torque for lifting load is described as the turning effect of force on the axis of rotation that is required in lifting the load.

Symbol: Mt_li

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torque for lifting load

Load on screw

Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load on screw

Mean Diameter of Power Screw

Mean Diameter of Power Screw is the average diameter of the bearing surface - or more accurately, twice the average distance from the centreline of the thread to the bearing surface.

Symbol: d_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Diameter of Power Screw

Coefficient of friction at screw thread

Coefficient of friction at screw thread is the ratio defining the force that resists the motion of the nut in relation to the threads in contact with it.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of friction at screw thread

Helix angle of screw

Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Helix angle of screw

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other Formulas to find Torque for lifting load

Go Torque Required to Lift Load given Effort

Mt li = P li \cdot \frac{d m}{2}

Other formulas in Torque Requirement in Lifting Load using Square Threaded Screw category

Go Effort Required in Lifting load using Power Screw

P li = W \cdot (\frac{μ + \tan (α)}{1 - μ \cdot \tan (α)})

Go Load on Power Screw given Effort Required to Lift Load

W = \frac{P li}{\frac{μ + \tan (α)}{1 - μ \cdot \tan (α)}}

Go Helix Angle of Power Screw given Effort Required to Lift Load

α = a \tan (\frac{P li - W \cdot μ}{P li \cdot μ + W})

Go Coefficient of Friction of Power Screw given Effort Required to Lift Load

μ = \frac{P li - W \cdot \tan (α)}{W + P li \cdot \tan (α)}

How to Evaluate Torque Required to Lift Load given Load?

Torque Required to Lift Load given Load evaluator uses Torque for lifting load = (Load on screw*Mean Diameter of Power Screw/2)*((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw))) to evaluate the Torque for lifting load, Torque Required to Lift Load given Load formula is defined as the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force, or turning effect that is to be applied to the object or the part to lift the load onto the power screw. Torque for lifting load is denoted by Mt_li symbol.

How to evaluate Torque Required to Lift Load given Load using this online evaluator? To use this online evaluator for Torque Required to Lift Load given Load, enter Load on screw (W), Mean Diameter of Power Screw (d_m), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) and hit the calculate button.

FAQs on Torque Required to Lift Load given Load

What is the formula to find Torque Required to Lift Load given Load?

The formula of Torque Required to Lift Load given Load is expressed as Torque for lifting load = (Load on screw*Mean Diameter of Power Screw/2)*((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw))). Here is an example- 9E+6 = (1700*0.046/2)*((0.15+tan(0.0785398163397301))/(1-0.15*tan(0.0785398163397301))).

How to calculate Torque Required to Lift Load given Load?

With Load on screw (W), Mean Diameter of Power Screw (d_m), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) we can find Torque Required to Lift Load given Load using the formula - Torque for lifting load = (Load on screw*Mean Diameter of Power Screw/2)*((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw))). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Torque for lifting load?

Here are the different ways to Calculate Torque for lifting load-

Torque for lifting load=Effort in lifting load*Mean Diameter of Power Screw/2

Can the Torque Required to Lift Load given Load be negative?

No, the Torque Required to Lift Load given Load, measured in Torque cannot be negative.

Which unit is used to measure Torque Required to Lift Load given Load?

Torque Required to Lift Load given Load is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Torque Required to Lift Load given Load can be measured.

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Torque Required to Lift Load given Load Formula

​GoTorque Required to Lift Load given Effort Formula

Torque Required to Lift Load given Load Example

Torque Required to Lift Load given Load Solution

Torque Required to Lift Load given Load Formula Elements

Other Formulas to find Torque for lifting load

Other formulas in Torque Requirement in Lifting Load using Square Threaded Screw category

How to Evaluate Torque Required to Lift Load given Load?

FAQs on Torque Required to Lift Load given Load

Variable Name

GoTorque Required to Lift Load given Effort Formula