Mechanical Principles help please.

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To determine the effort required to raise a 150kg load using a Weston differential pulley block with top pulley diameters of 210mm and 190mm, the efficiency of the system is 35%. The effort can be calculated using the formula: effort = load / mechanical advantage, where mechanical advantage is derived from the velocity ratio. The velocity ratio is calculated as vr = 2 * d1 / (d1 - d2). For work done against friction when raising the load through 2.5m, the formula is work done = force x distance moved, with force being the weight of the load in Newtons. The discussion emphasizes the importance of using diameter over circumference for calculations.
crutts
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1. The top pulleys of a Weston differential pulley block have diameters of 210mm and 190mm. Determine the effort required to raise a load of 150kg if the efficency of the system is 35%.

What is the work done in overcoming friction when the load is raised through a height of 2.5m?





I did some working out and got:

effort = load/number of pulleys = 150/2 = 75 (what units?)

and work done= (150x9.8) x 2.5 = 3677.6 N/M

I did 150x9.8 to get Newtons.

Is this correct?


Cheers Joe
 
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you must work out using these formulas

i only no this as i did the same question in class

you need to work out the velocity ratio of the machine first

vr = 2 d1/(d1-d2)

then the mechanical advantage

effiency of the system = mechanical advantage/ velocity ratio x 100 %

you need to transpose this


effort of the machine = load / mechanical advantage

this is for the first part

second part is

wd = force x distance moved

then effiency of the system = work output/work input

you also need to transpose this
i no how you feel this is a hard subject and i am also finding it hard !
 
I take it d stands for diameter? Should it be this or should it be circumfrence?

Joe
 
d is the diameter of each pulley
 
Should I use diameter or circumfrence? As i seem to remember circumfrence being mentioned in class.
 
when i calculated these i used the diameters and the answers were correct compared to the answers i had.
 
Ok cheers.
 
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