Compound Machines
Simple Gear Train
This is a simple gear train which consists in this case of three gears meshed to each other. If the input was the big gear was the input and the small one was the out put we wouldn't have a MA cause you would need a lot more force to turn the bigger gear, the only positive is that the small gear would turn at a faster revolution. The right way to get MA is putting the input at the smaller gear, you will need to turn it more but you will have more torque at the bigger gear.
Calculations
Gear Ratio = N-out/N-in= 89/60=1.48 = 36/1.48= 24.32 GR=24.32:1
Compound Gear Train
This is a compound gear train. The only difference between this and the simple gear train is that the compound gear train has variable gears in one shaft. This is actually has a big effect though cause this gear system can have much higher MAs in smaller amount of space. It is basically a giant simple gear compressed into a smaller one. The way this works is that you put a small gear on a shaft and you mesh that with a big gear that is on another shaft that also has a small gear which gets meshed to another big gear on a third shaft and so on this means that for every time you turn the first shaft the big axle small gear on that shaft will turn the big gear a fraction of its revolution and since the big gear has the same shaft as the second small gear it will make the small gear turn even slower than the big one. So every time you do this you this pattern of gear combinations your output gear will have a decrease in RPM but its torque will increase.
Calculations
GR= N out/ N in = (60/36)(86/36)(60/30) = 1.667*1.667*2.333=6.483 GR= 6.483:1
Compound Machine
This is the Compound machine that are team made. This is the use of almost all the machines that we have learned about with the exception of the lever and the wedge, the minimum was three. first we have a gear train were we get most of our MA from. The output is a sprocket attached to a tread which moves the sprocket on the other side. The shaft of this sprocket is connected to a smaller gear which is used to represent a wheel and axle. this is what pulls the string and the pulley is the string going through the metal plate and on to the wheel. The wheel is set on a inclined plane which means that it will travel a longer distance but it will cut the weight that the string must pull down. We did substitute the wheel for a 100g weight later on though cause we didn't want to measure the wheels weight. So the way the machine works is that you must turn the machine starting at the first gear. It is very easy to turn but the string is pulled at a extremely slow pace. This shows that although we must turn the gears a lot we get a greater MA so we can lift a heavy object with less force.
Calculations
These are the results I got from the calculations above.
Compound Machine IMA= 47.913
Compound Machine AMA= 1.266
Compound Machine Efficiency= 33.4%
Compound Machine IMA= 47.913
Compound Machine AMA= 1.266
Compound Machine Efficiency= 33.4%