Is 1800 Newton meters enough torque to generate 1.5 kilowatts of power?

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SUMMARY

The discussion centers on the relationship between torque and power in a mechanical system, specifically questioning whether 1800 Newton-meters of torque can generate 1.5 kilowatts of power. It is clarified that torque is measured in Newton-meters and power is derived from both torque and rotational speed. The presence of a 15:1 gearbox is highlighted, emphasizing that while torque increases, the rotational speed decreases proportionally. The conversation underscores the necessity of complete information, including speed, to accurately assess power output.

PREREQUISITES
  • Understanding of torque and power calculations in mechanical systems
  • Knowledge of gearbox mechanics and their impact on torque and speed
  • Familiarity with units of measurement: Newton-meters and kilowatts
  • Basic principles of rotational dynamics
NEXT STEPS
  • Research the relationship between torque, speed, and power in mechanical systems
  • Learn about gearbox ratios and their effects on torque and rotational speed
  • Explore the calculation of power output using the formula: Power (kW) = Torque (Nm) x Angular Velocity (rad/s)
  • Investigate the implications of incomplete data in mechanical design and analysis
USEFUL FOR

Engineers, mechanical designers, and students studying mechanical systems who need to understand the dynamics of torque and power in relation to gearboxes and rotational mechanics.

Tony Singh
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Homework Statement
The problem is i am not sure if i am right with my calculation please check
Relevant Equations
3 motors with propellers thrust force = 40 Newton meter(NM)
39= 13 Nm each motor, times 3 (13 X 3 = 39)
The turbine blade or the lever arm 3 meters that is the radius fro the rotor or axis
Multiply (Force 40 NM times distance 3 m equals torque 120 NM gearbox input shaft
Torque 120 NM at 120 revolution per minute (RPM) goes into the gearbox at ratio of 1-15 to get output gearbox shaft torque multiply 120 NM with ratio 15 equals (1800 NM at 1800 RPM) = (120 rpm X 15) Is good for 1.5 kilowatt generator with 100% efficiency
i am working on new project so i could use your help.
Please and Thank you
Tony
 
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You've quoted a lot of numbers. It is not clear which ones go with which other ones.

It appears that the input is a torque of 120 Newton-meters at 120 revolutions per minute. [If you were trying to calculate this, I could not follow the calculation -- it did not make sense to me].

We have a 15 to one gearbox. You seem to think that this gearbox will both multiply torque by fifteen and multiply rotation rate by fifteen. It does not work that way. If you multiply torque by some factor in a gearbox, you divide the rotation rate by the same factor.
 
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Tony Singh said:
3 motors with propellers thrust force = 40 Newton meter(NM)
Thrust is measured in Newtons.
Torque is in Newton-meters.
 
Can you provide a sketch diagram of the system.
 
You have provided a torque, but no speed. The information is incomplete because we don't know how much power is available.
 

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