****physics Help - Simple Machines ***

Spud2388
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"The Spud-n-ator"
were doing a lab on simple machines and were trying to find their efficiency. Im confused on how to do this. Heres what we did.

-Pulley lab

lifted a guy that weighed 149lbs (1461.69N) in the air 1.41m using 5 pullies (3 oattached tot he ceiling and 2 attatched to his harness). We had to pull the rope 14.37m to raise him the 1.41m. How do you find the efficiency of the pullies using this data? note: we did not measure the force needed to pull on the rope.

I know you use the F(input)*d(pulled rope)=F(output)* d(he moved up)

F(input)=143.42N

d(pulled rope)=14.37m

F(output)=1461.69N

d(hemoved)=1.41m

How do you get the efficiency of this?

 
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SIMPLE
efficiency = work output / work input
exactly. W=Fd right? W(output) =1.41m*1461.69N and W(input)= 14.37m*143.42N correct?

so (1.41*1461.96)/(14.37*143.42)= 1.00 *100%= 100% i didnt think they were 100% efficient (excluding the loss of friction)

 
see i think the reason its comin out to be 100% efficient is because i'm using an equation to find the input force, which is going to make the work output and work input equal each other.

 
Equations you need, Plug into each.

work output = load x distance moved by load

work input = effort x distance moved by effort

efficiency = work output / work input

 
67.72kg x 9.81=664.4N

F(i)=?

d(i)=14.37m

F(o)=664.4N

d(o)=1.41m

F(i)d(i)=F(o)d(o)

F(i) x 14.37m=664.4N x 1.41m

F(i)=65.19N

W(output)/W(input) x 100=efficiency

W(output)=1.41m x 664.4N

W(input)=14.37m x 65.19N

(1.41 x 664.4)/(14.37 x 65.19) x 100=100% I know Im doing the math right, but because I used an equation to find the input force, its going to make the works equal each other. I guess I'll just compare the distances of the ropes or something and bullshit the lab. Thanks for the help though.

 
thanks for the help, im doing it right, but because we didnt measure the force needed to pull the rope, and had to use and equation to find it, its alwasy going to make the works equal each other, thus giving me 100% efficiency.

 
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