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Belt conveyor capacity
public
Theoretical mass flow rate of a belt conveyor with known area and material density.
Mass flow rate
$$ Q_{conv_m} = {{A \over 10 ^ 6} \cdot v_{conv} \cdot 3600 \cdot \rho_{bm}} \; \; , {{kg \over h}} $$
Base of triangle
public
Calculates base of isosceles triangle for given area and base angle.
Base length
$$ c_{isos} = {\sqrt{ {( 2 \cdot A ) \over \tan( \alpha_{rad} )} }} \; \; , {mm} $$
Area of triangle
public
Calculates area of isosceles triangle by given base and base angle
Area
$$ A_{isos_{\alpha}} = {{c ^ 2 \over 2} \cdot \tan( \alpha_{rad} )} \; \; , {mm ^ 2} $$
Angle
public
Convert angle from degrees to radians
Angle in radians
$$ \alpha_{rad} = {\alpha_{deg} \cdot {\pi \over 180}} \; \; , {rad} $$
Electrical motor power
public
Electrical motor power from nominal torque and rotational speed.
Motor power
$$ P_n = {{( T_n \cdot n_n ) \over 9550}} \; \; , {kW} $$
Gearbox reduction ratio
public
Reduction ratio of 4 stage gearbox
Four stage gearbox ratio
$$ i_{gb4} = {i_{gr1} \cdot i_{gr2} \cdot i_{gr3} \cdot i_{gr4}} \; \; $$
Gear reduction ratio
public
Reduction ratio of two gear wheels using number of teeth
Fourth stage ratio
$$ i_{gr4} = {z_8 \over z_7} \; \; $$
Gear reduction ratio
public
Reduction ratio of two gear wheels using number of teeth
Second stage ratio
$$ i_{gr2} = {z_4 \over z_3} \; \; $$
Gear reduction ratio
public
Reduction ratio of two gear wheels using number of teeth
Third stage ratio
$$ i_{gr3} = {z_6 \over z_5} \; \; $$
Gearbox reduction ratio
public
Reduction ratio of 3 stage gearbox
Three stage gearbox ratio
$$ i_{gb3} = {i_{gr1} \cdot i_{gr2} \cdot i_{gr3}} \; \; $$
Travel drive gearbox ratio
public
Calculate travel drive reduction ratio for known traveling velocity in m/min and wheel diameter in m.
Gearbox ratio
$$ n_{gb_{req}} = {{n_{motor} \over n_{wheel}}} \; \; $$
Travel wheel revolutions
public
Calculate travel wheel rpm from linear speed in m/min.
$$ n_{wheel} = {{v_{mm} \over \left({ \pi \cdot D_{wheel} }\right)}} \; \; , {rpm} $$
Velocity
public
Traveling velocity in m/min.
Traveling velocity
$$ v_{mm} = {10} \; \; , {{m \over min}} $$
Efficiency
public
Efficiency measured in %.
Efficiency
$$ \eta = {90} \; \; , {\%} $$
Velocity
public
Traveling velocity in m/s.
Traveling velocity
$$ v_{ms} = {{v_{mm} \over 60}} \; \; , {{m \over s}} $$
Total travel power required
public
Combined bower for travel and acceleration.
Total power
$$ P_{tr} = {{( P_{v} + P_{a} ) \over T_{r}}} \; \; , {kW} $$
Motor power requirement
public
Calculate motor power required to accelerate.
Power required
$$ P_{a} = {{( C \cdot v_{ms} ^ 2 ) \over \left({ \eta \cdot t_a }\right)}} \; \; , {kW} $$
Motor power requirement
public
Calculate motor power required to maintain traveling speed.
Power required
$$ P_{v} = {{( C \cdot g \cdot v_{ms} \cdot w_t ) \over \eta}} \; \; , {kW} $$
Capacity
public
Mass to be lifted or travel.
Capacity
$$ C = {10000} \; \; , {kg} $$
Horizontal reaction in support
public
Horizontal reaction force in support due to point load when support is at an angle
Horizontal reaction
$$ Ah_{angled} = {P \cdot \tan( \alpha_{rad} )} \; \; , {N} $$
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