Calculate Power from 100mm Rotating Shaft

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SUMMARY

The power that can be safely transferred by a 100 mm shaft rotating at 150 revolutions per minute is calculated to be approximately 164.32 watts, which converts to about 0.22 horsepower. The calculations utilize the moment of inertia (J) for a solid circular shaft, derived from the formula J=(π/2)*r^4, where the radius is 50 mm. The torque (T) is determined using the shear strength of mild structural steel, yielding a torque value of 10.466 Nm, which is then used to calculate the angular velocity and power output.

PREREQUISITES
  • Understanding of rotational mechanics and power calculations
  • Familiarity with torque and angular velocity concepts
  • Knowledge of material properties, specifically mild structural steel
  • Basic proficiency in using formulas for moment of inertia and power
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  • Study the properties of different materials, such as bamboo versus steel, in mechanical applications
  • Learn about the implications of shaft diameter on torque and power transmission
  • Explore advanced power transmission calculations for varying rotational speeds
  • Investigate the effects of different shaft materials on performance and safety
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Mechanical engineers, students in engineering mechanics, and professionals involved in power transmission design will benefit from this discussion.

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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can anyone help?
 
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.
 

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