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Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Formula

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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. Check FAQs

d m = 2 \cdot Mt lo \cdot \frac{1 + μ \cdot \sec ((0.253)) \cdot \tan (α)}{W \cdot (μ \cdot \sec ((0.253)) - \tan (α))}

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

Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Example

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Here is how the Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw equation looks like with Values.

Here is how the Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw equation looks like with Units.

Here is how the Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw equation looks like.

46.2389 = 2 \cdot 2960 \cdot \frac{1 + 0.15 \cdot \sec ((0.253)) \cdot \tan (4.5)}{1700 \cdot (0.15 \cdot \sec ((0.253)) - \tan (4.5))}

46.2389mm = 2 \cdot 2960N*mm \cdot \frac{1 + 0.15 \cdot \sec ((0.253)) \cdot \tan (4.5°)}{1700N \cdot (0.15 \cdot \sec ((0.253)) - \tan (4.5°))}

46.2389 = 2 \cdot 2960 \cdot \frac{1 + 0.15 \cdot \sec ((0.253)) \cdot \tan (4.5)}{1700 \cdot (0.15 \cdot \sec ((0.253)) - \tan (4.5))}

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Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Solution

Follow our step by step solution on how to calculate Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw?

FIRST Step Consider the formula

d m = 2 \cdot Mt lo \cdot \frac{1 + μ \cdot \sec ((0.253)) \cdot \tan (α)}{W \cdot (μ \cdot \sec ((0.253)) - \tan (α))}

Next Step Substitute values of Variables

∴

d m = 2 \cdot 2960N*mm \cdot \frac{1 + 0.15 \cdot \sec ((0.253)) \cdot \tan (4.5°)}{1700N \cdot (0.15 \cdot \sec ((0.253)) - \tan (4.5°))}

Next Step Convert Units

∴

d m = 2 \cdot 2.96N*m \cdot \frac{1 + 0.15 \cdot \sec ((0.253)) \cdot \tan (0.0785rad)}{1700N \cdot (0.15 \cdot \sec ((0.253)) - \tan (0.0785rad))}

Next Step Prepare to Evaluate

∴

d m = 2 \cdot 2.96 \cdot \frac{1 + 0.15 \cdot \sec ((0.253)) \cdot \tan (0.0785)}{1700 \cdot (0.15 \cdot \sec ((0.253)) - \tan (0.0785))}

Next Step Evaluate

∴

d m = 0.0462389486595059m

Next Step Convert to Output's Unit

∴

d m = 46.2389486595059mm

LAST Step Rounding Answer

∴

d m = 46.2389mm

Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Formula Elements

Variables

Functions

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

Torque for lowering load

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

Symbol: Mt_lo

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torque for lowering load

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

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

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)

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

Other formulas in Acme Thread category

Go Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw

α = a \tan (\frac{2 \cdot Mt li - W \cdot d m \cdot μ \cdot \sec (0.253 \cdot \frac{π}{180})}{W \cdot d m + 2 \cdot Mt li \cdot μ \cdot \sec (0.253 \cdot \frac{π}{180})})

Go Coefficient of Friction of Power Screw given Torque Required in Lifting Load with Acme Thread

μ = \frac{2 \cdot Mt li - W \cdot d m \cdot \tan (α)}{\sec (0.253) \cdot (W \cdot d m + 2 \cdot Mt li \cdot \tan (α))}

Go Load on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw

W = 2 \cdot Mt li \cdot \frac{1 - μ \cdot \sec ((0.253)) \cdot \tan (α)}{d m \cdot (μ \cdot \sec ((0.253)) + \tan (α))}

Go Torque Required in Lifting Load with Acme Threaded Power Screw

Mt li = 0.5 \cdot d m \cdot W \cdot (\frac{μ \cdot \sec ((0.253)) + \tan (α)}{1 - μ \cdot \sec ((0.253)) \cdot \tan (α)})

How to Evaluate Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw?

Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw evaluator uses Mean Diameter of Power Screw = 2*Torque for lowering load*(1+Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Load on screw*(Coefficient of friction at screw thread*sec((0.253))-tan(Helix angle of screw))) to evaluate the Mean Diameter of Power Screw, Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw formula is defined as the average diameter of the bearing surface of the Screw. Mean Diameter of Power Screw is denoted by d_m symbol.

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

FAQs on Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw

What is the formula to find Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw?

The formula of Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw is expressed as Mean Diameter of Power Screw = 2*Torque for lowering load*(1+Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Load on screw*(Coefficient of friction at screw thread*sec((0.253))-tan(Helix angle of screw))). Here is an example- 46238.95 = 2*2.96*(1+0.15*sec((0.253))*tan(0.0785398163397301))/(1700*(0.15*sec((0.253))-tan(0.0785398163397301))).

How to calculate Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw?

With Torque for lowering load (Mt_lo), Coefficient of friction at screw thread (μ), Helix angle of screw (α) & Load on screw (W) we can find Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw using the formula - Mean Diameter of Power Screw = 2*Torque for lowering load*(1+Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Load on screw*(Coefficient of friction at screw thread*sec((0.253))-tan(Helix angle of screw))). This formula also uses Tangent (tan), Secant (sec) function(s).

Can the Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw be negative?

No, the Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw, measured in Length cannot be negative.

Which unit is used to measure Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw?

Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw can be measured.

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Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Formula

Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Example

Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Solution

Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Formula Elements

Other formulas in Acme Thread category

How to Evaluate Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw?

FAQs on Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw

Variable Name