Pulley Problems - Mr Desantis- OLD SITE
Pulley and Gear Problems
|Engineering Formula Sheet |
|Gear Ratios |
|Formulas |Variables |
|[pic] |GR = Gear ratio |
| |ωin = Driver gear, rpm |
| |ωout = Driven gear, rpm |
|[pic] |Nin = Number of teeth on driver |
| |Nout = Number of teeth on driven |
| |din = Diameter of driver |
|[pic] |dout = Diameter of driven |
| |τin = Torque of driver, ft-lbs |
| |τout = Torque of driven, ft-lbs |
SR= Win/Wout
Pulley Problems
Solve for the unknown quantities in problems 1 through 5. Show all your work. List the equations used and units for your answers.
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Gear Problems
Solve for the unknown quantities in problems 1 through 5. Show all your work. List the equations used and units for your answers.
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|Definitions: | | | |
|D in = Driver pulley diameter, in | |
|SR = Speed Ratio = Input Rate / Output Rate |
|D out = Driven pulley diameter, in | |
|w in = Driver pulley speed, rpm | |
|w out = Driven pulley speed, rpm | |
|T in = Torque of driver pulley, ft lbs. | |
|T out = Torque of driven pulley, ft lbs. | |
|Prob # |D in |D out |SR |w in |w out |T in |T out |
| |
|2 |6 |3 | |200 | |100 | |
| |
|3 | |4 | |100 |800 |20 | |
| |
|4 | |8 | |700 |150 | |100 |
| |
|5 |5 | | | |150 |200 |800 |
|Definitions: | | | |
|N in = Number of teeth on Driver gear | |
|N out = Number of teeth on Driven gear | |
|D in = Driver gear diameter, in | |
|D out = Driven gear diameter, in | |
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|^J[?]phh• |
|´h¤h6?B*[pic]]?^J[?]phhÔb—h¤hh• |
|´h¤h5?B*[pic]\?^J[?]phh¨O…h¤hCJaJ = Gear ratio = Input Rate / Output Rate |
|w in = Driver gear speed, rpm | |
|w out = Driven gear speed, rpm | |
|T in = Torque of driver gear, ft lbs. | |
|T out = Torque of driven gear, ft lbs. | |
|Prob # |N in |N out |D in |D out |GR |w in |w out |T in |T out |
| |
|2 |12 | |6 | |3.17 |1800 | |100 | |
| |
|3 |24 |12 |6 | | |1800 | |100 | |
| |
|4 |24 | | |6 |3.17 | |1800 | |100 |
| |
|5 | |12 | |6 |3 | |1800 | |100 |
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