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

AI Thread Summary
To calculate torque for a rotating shaft with bearings, the moment of inertia and angular acceleration are key factors. The user has a shaft weighing 10 lbs and seeks to achieve an angular speed of 15 RPM, translating to an angular acceleration of 1.57 rad/s². There is confusion regarding the application of the coefficient of friction and whether the torque calculation should account for it. It is noted that if the shaft rotates at a constant speed, the angular acceleration is zero, and thus the torque needed primarily overcomes friction. The user is also seeking clarity on unit conversions for torque, specifically to ft-lbs.
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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