Automotive How Do You Calculate Shaft RPM for Different Pulley Sizes?

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To calculate shaft RPM for different pulley sizes, the relationship between motor RPM, motor pulley diameter, pulley B diameter, and pulley B RPM must be established. Given a motor with 17.5 hp and 3400 RPM driving a 3-inch pulley, the RPM of pulley B, which is 8.4 inches in diameter, is calculated to be 1214 RPM. This RPM is also the same as the shaft RPM since pulley B is fixed to the shaft. Understanding these relationships allows for accurate calculations of pulley sizes and RPMs in mechanical systems. This discussion emphasizes the importance of knowing three variables to determine the fourth in pulley systems.
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Hi guy here's an example in the picture for my project.
i need to find the shaft rpm to find what size pulley D will be.
Pulley B attached with a belt that come from a motor.
17.5 hp
3400 rpm
3 inch pulley
if I am right and pulley b is 8.4 inch
rpm 1214
torque 76 ft/lbs i think

the shaft pulley is 5/8

thanks
 

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jayjay said:
Hi guy here's an example in the picture for my project.
i need to find the shaft rpm to find what size pulley D will be.
Pulley B attached with a belt that come from a motor.
17.5 hp
3400 rpm
3 inch pulley
if I am right and pulley b is 8.4 inch
rpm 1214
torque 76 ft/lbs i think

the shaft pulley is 5/8

thanks
Is this question for schoolwork?
 
berkeman said:
Is this question for schoolwork?

no for myself why?
 
jayjay said:
no for myself why?
Because the drawing looks like it came from a textbook problem, and we handle schoolwork questions differently from project questions here at the PF.

Did you do that drawing yourself? It's pretty impressive. What drawing CAD package did you use? Is this for your snowblower project?
 
berkeman said:
Because the drawing looks like it came from a textbook problem, and we handle schoolwork questions differently from project questions here at the PF.

Did you do that drawing yourself? It's pretty impressive. What drawing CAD package did you use? Is this for your snowblower project?

thats a picture from the internet as an example of the samething I am doing
 
Consider these four variables...

Motor rpm
Motor pulley diameter
Pulley B diameter
Pulley B rpm (=shaft rpm).

To work out anyone of these you need to know the other three.

Start by writing an equation that relates these four variables an rearrange to give you one for the pulley B rpm.
 
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CWatters said:
Consider these four variables...

Motor rpm
Motor pulley diameter
Pulley B diameter
Pulley B rpm (=shaft rpm).

To work out anyone of these you need to know the other three.

Start by writing an equation that relates these four variables an rearrange to give you one for the pulley B rpm.

ok so the rpm for the pulley B will be the same for the saft if i understand
 
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Correct. If pulley B is fixed to the shaft then it must rotate at the same rate. Same for pulley C.
 
CWatters said:
Correct. If pulley B is fixed to the shaft then it must rotate at the same rate. Same for pulley C.
Great that helps me for that part thanks alot
 
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