Calculate Power from 100mm Rotating Shaft

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In summary, when calculating the power that can be safely transferred by a 100 mm shaft rotating at 150 revolutions per minute, you need to consider the radius, material, and other factors. The final result should be around 164.3162 watts or 220.35162 horsepower.
  • #1
John78
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Homework Statement



Calculate the power that can be safely transferred by a 100 mm shaft rotating at 150 revolutions per minute.



Homework Equations



Radius = diameter/2=100/2=50 mm
Shaft from mild structural steel
K=6
T= 320 N/mm2


The Attempt at a Solution




J=(3.14/2)*r4
J=(3.14/2)*504= 1.57*6250000=9812500
T=TJ/KY=320*9812500/6*50=3140000000/300=10466666.67 Nmm
Changed to Nm= 10.466 Nm
Per minute 150
Per second = 150/60 = 2.5per second
Angular velocity= 2.5 *(2*3.14)= 2.5*6.28=15.7 rad/sec
Power=15.7*10.466=164.3162 Nm/sec= 164.3162 watts
Power changed to horsepower= 220.35162 (hp) ??


Please check my result:D
 
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  • #2
can anyone help?
 
  • #3
John78 said:

Homework Statement



Calculate the power that can be safely transferred by a 100 mm shaft rotating at 150 revolutions per minute.Please check my result:D

I guess if the shaft is made of bamboo, less power transferred than if it is made of steel.
 

What is the formula for calculating power from a 100mm rotating shaft?

The formula for calculating power from a 100mm rotating shaft is P = 2πNT/60, where P is power in watts, N is rotational speed in revolutions per minute (RPM), and T is torque in newton-meters (Nm).

What units are used for power calculation from a 100mm rotating shaft?

The units used for power calculation from a 100mm rotating shaft are watts (W), RPM, and Nm. However, other units such as horsepower (hp), revolutions per second (RPS), and foot-pounds (ft-lb) can also be used.

Do I need to know the diameter of the shaft to calculate power?

No, the diameter of the shaft is not necessary for calculating power. The formula for power from a 100mm rotating shaft uses the rotational speed and torque of the shaft, which can be measured or estimated separately.

How accurate are power calculations from a 100mm rotating shaft?

The accuracy of power calculations from a 100mm rotating shaft depends on the accuracy of the measurements used for rotational speed and torque. If these measurements are precise, the calculated power will also be accurate. However, other factors such as friction and inefficiencies in the system may affect the actual power output.

Can power be calculated using other units besides watts?

Yes, power can be calculated using other units besides watts. Some common alternative units include horsepower (hp), kilowatts (kW), and foot-pounds per minute (ft-lb/min). It is important to make sure that all units are consistent when using the formula for power calculation.

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