Formula used to calculate typical load exponential data
1. Based on the load type, a breakaway torque factor and exponent p are assigned:
Pump: 0.4, p=2
Motor_Gen_Set: 0.25,p=2
Blower: 0.3,p=3
Grinder: 0.3,p=3
Compressor: 0.4,p=2
Fan: 0.25,p=3
Other: 0.4 ,p=2
2. A is calculated by HP*5252/speed/.987*breakawayfactor
3. B is calculated by A*0.1
4. C is calculated by (by HP*5252/speed/.987 –B) /(0.987*speed)^p
5. Formula used to convert Ftlbs to NM:
6. NM=ftlbs/0.7376372
![](data:image/png;base64,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)
Pump: 0.4, p=2
Motor_Gen_Set: 0.25,p=2
Blower: 0.3,p=3
Grinder: 0.3,p=3
Compressor: 0.4,p=2
Fan: 0.25,p=3
Other: 0.4 ,p=2
2. A is calculated by HP*5252/speed/.987*breakawayfactor
3. B is calculated by A*0.1
4. C is calculated by (by HP*5252/speed/.987 –B) /(0.987*speed)^p
5. Formula used to convert Ftlbs to NM:
6. NM=ftlbs/0.7376372