How Do You Calculate Torque for a Rotating Shaft with Bearings?

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SUMMARY

The discussion focuses on calculating torque for a rotating shaft with bearings, specifically a 90mm shaft weighing 10lbs, supported by two 25lbs bearings and a 5lbs hub. The user initially calculated the moment of inertia (I) as 15.7 lbm.in² and angular acceleration (α) as 1.57 rad/s², leading to a torque (T) calculation of 24.65 lbm.in. However, participants clarified that if the shaft rotates at a constant speed of 15 RPM, the angular acceleration is zero, and the torque required primarily overcomes friction, which is influenced by a coefficient of friction of 0.15. The importance of consistent unit systems was also emphasized.

PREREQUISITES
  • Understanding of torque and angular acceleration concepts
  • Familiarity with moment of inertia calculations
  • Knowledge of friction coefficients and their impact on torque
  • Ability to convert between different unit systems (US Customary and SI)
NEXT STEPS
  • Learn about calculating torque in rotating systems using the formula T = I × α
  • Study the effects of friction on torque requirements in mechanical systems
  • Research unit conversion techniques between US Customary and SI units
  • Explore the use of torque in starting conditions for rotating machinery
USEFUL FOR

Mechanical engineers, students studying dynamics, and anyone involved in the design and analysis of rotating machinery will benefit from this discussion.

ever1221
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Hello Guys,

I have a 90mm=3.543" shaft going through 2 bearings that are the same shaft weighs 10lbs bearings weigh 25lbs each hub of bearing weigh 5lbs, bearing coefficient of friction is 0.15

bearing OD: 190mm ID: 90mm

ok so I thought Torque to rotate shaft is = Moment of Inertia x angular acceleration

I want the shaft to be able to rotate at an angular speed of 15rpm so angular acc is 1.57 rad/s^2

angular acc= 1.57 rad/s^2
I= 1/2 M(r^2) --> 1/2 x 10lb x (1.77^2) = 15.7 lbm.in^2 (does this have to be converted to pound force?)

T= 15.7 x 1.57

is this right? Also how do I use coefficient of friction??
 
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If there is friction then a torque is needed to keep things moving at a constant rate, the applied torque just equals the torque needed to overcome friction. You are using the formula incorrectly?
 
ever1221 said:
Hello Guys,

I have a 90mm=3.543" shaft going through 2 bearings that are the same shaft weighs 10lbs bearings weigh 25lbs each hub of bearing weigh 5lbs, bearing coefficient of friction is 0.15

bearing OD: 190mm ID: 90mm

ok so I thought Torque to rotate shaft is = Moment of Inertia x angular acceleration

I want the shaft to be able to rotate at an angular speed of 15rpm so angular acc is 1.57 rad/s^2

angular acc= 1.57 rad/s^2
I= 1/2 M(r^2) --> 1/2 x 10lb x (1.77^2) = 15.7 lbm.in^2 (does this have to be converted to pound force?)

T= 15.7 x 1.57

is this right? Also how do I use coefficient of friction??
Without friction even minor torque can also rotate the shaft. So i don't suppose it will need such complicated calculations. Just force required will be equal to force required to overcome friction i suppose.
 
ever1221 said:
I want the shaft to be able to rotate at an angular speed of 15rpm so angular acc is 1.57 rad/s^2

How do you figure this? If the shaft speed is a constant 15 rpm, then the angular acceleration is zero. Where did you get the 1.57 r/s^2 figure?

I would strongly recommend getting everything into the same units system, either US Customary or SI, but not mixed as you have it.
 
OldEngr63 said:
How do you figure this? If the shaft speed is a constant 15 rpm, then the angular acceleration is zero. Where did you get the 1.57 r/s^2 figure?

I would strongly recommend getting everything into the same units system, either US Customary or SI, but not mixed as you have it.
And i think for getting specific speed at specific acceleration friction should be considered first because without considering friction it will always be in acceleration even with a minor amount of force.
 
Kishan, I do not understand your statement,
Kishan Majethia said:
because without considering friction it will always be in acceleration even with a minor amount of force.

What are you saying, please?
 
OldEngr63 said:
Kishan, I do not understand your statement,What are you saying, please?
I want to say without considering friction and with application of minor amount of force body will always be in acceleration without considering magnitude of force except zero
 
OldEngr63 said:
How do you figure this? If the shaft speed is a constant 15 rpm, then the angular acceleration is zero. Where did you get the 1.57 r/s^2 figure?

I would strongly recommend getting everything into the same units system, either US Customary or SI, but not mixed as you have it.

thanks guys for the replies

ok so how I got angular acc is by converting rpm to rad/s which is 1.57 rad/s and I wanted it to reach that acc within 1second so acc=angular velocity/time basically that's the motor am going to be getting, one with 15rpm but torque is what am not sure ofam having problems with units, what's the units of torque here when I use the following? I need it to be in ft lbs
I= 1/2 M(r^2) --> 1/2 x 10lb x (1.77^2) = 15.7 lbm.in^2 (does this have to be converted to pound force?)

T= 15.7 x 1.57also guys can I use this for starting toque??

http://www.engineersedge.com/friction/friction_calc_protected/shaft_journal.htm
 

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