User Calculations

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Rotational to linear speed conversion

Convert rotating speed in rpm to linear speed in m/sec.

Linear speed

$$ V_{conv_{rpm-m/sec}} = {\pi \cdot 2 \cdot R \cdot {rpm \over 60}} \; \; , {{m \over sec}} $$

Rotational to linear speed conversion

Convert rotating speed in rpm to linear speed in m/min.

Linear speed

$$ V_{conv_{rpm-m/min}} = {\pi \cdot 2 \cdot R \cdot rpm} \; \; , {{m \over min}} $$

Section modulus of circular section

Section modulus of circular section

Section modulus

$$ W_{y_{circle}} = {{( \pi \cdot D_{circle_{mm}} ^ 3 ) \over 32}} \; \; , {mm ^ 3} $$

Shear stress

Calculate shear stress in a pin or axle under point load.

Shear stress

$$ \tau_{shear_{circle}} = {{F_N \over \left({ A_{circle_{d_{mm}}} \cdot n_{sp} }\right)}} \; \; , {MPa} $$

Slurry SG

Calculate specific gravity of slurry, with known solids concentration, using Cv, Cw and Sw,

Slurry specific gravity

$$ S_{m_{vw}} = {S_w \cdot {( {C_v \over 100} - 1 ) \over \left({ {C_w \over 100} - 1 }\right)}} \; \; $$

Slurry SG

Calculate specific gravity of slurry, with known volumetric concentration, using Cv, S and Sw,

Slurry specific gravity

$$ S_{m_v} = {S_w + \left({ {C_v \over 100 }}\right) \cdot \left({ S - S_w }\right)} \; \; $$

Slurry SG

Calculate specific gravity of slurry, with known solids mass concentration, using Cw, S and Sw,

Slurry specific gravity

$$ S_{m_w} = {{S_w \over \left({ 1 - \left({ {C_w \over 100 }}\right) \cdot \left({ 1 - {S_w \over S }}\right) }\right)}} \; \; $$

System curve factor

Determines relationship between flow and head loss in a pipeline

$$ k_{system} = {h_{loss} \over q ^ 2} \; \; $$

Trough angle (deg)

Trough angle of belt conveyor idler in degrees.

Trough angle

$$ \lambda_{idler1} = {30} \; \; , {°} $$

Trough angle (deg)

Trough angle of belt conveyor idler in degrees.

Trough angle

$$ \lambda_{idler2} = {60} \; \; , {°} $$

Trough angle (deg)

Trough angle of belt conveyor idler in degrees.

Trough angle

$$ \lambda_{idler} = {30} \; \; , {°} $$

Trough angle (rad)

Trough angle of belt conveyor idler in radians.

Trough angle

$$ \lambda_{idler_{rad}} = {\lambda_{idler} \cdot {\pi \over 180}} \; \; , {rad} $$

Trough angle (rad)

Trough angle of belt conveyor idler in radians.

Trough angle

$$ \lambda_{idler1_{rad}} = {\lambda_{idler1} \cdot {\pi \over 180}} \; \; , {rad} $$

Trough angle (rad)

Trough angle of belt conveyor idler in radians.

Trough angle

$$ \lambda_{idler2_{rad}} = {\lambda_{idler2} \cdot {\pi \over 180}} \; \; , {rad} $$

Universal gas constant

$$ R_{gas} = {8.314} \; \; , {{( kg.m ^ 2 ) \over \left({ s ^ 2 .K.mol }\right)}} $$

Wire rope breaking force

Calculate minimum required breaking force of a wire rope for a given reeving arrangement and a safety factor

Required breaking force

$$ F_{rope_{breq}} = {{( P_{load} \cdot g \cdot s_f ) \over \left({ n_{falls} \cdot \eta_{reeving} }\right)}} \; \; , {kN} $$