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nysnacc
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Homework Statement
Homework Equations
F=ma
Sum of force
The Attempt at a Solution
Not sure if my a is correct, but actually, I need to have it in imperial (US) unit,[/B]
The mass is given in lbm. What is the gravitational force on an object with mass 1 lbm?nysnacc said:Umm... what's wrong with my initial equation?
No. Again, look up the definition of lbf vs the definition of lbm.nysnacc said:32 lbf?
Absolutely! It seems crazy to give a formula where the units are defined for only one of the variables. Of course I'm not accustomed to USC units, so perhaps ft and sec are implicit if F is in pounds?Orodruin said:Edit: The problem is also not well stated. It states that ##F = 0.5 v^2## (in pounds) but fails to tell you what units this requires ##v## to be specified in.
I would not bet my money on this. Without giving too much away, using this would give a rather large g-force on the sky diver (higher than any I could find referenced for sky diving in a quick Google search). If the velocity ##v## is intended to be in m/s, you instead get a rather low value.Merlin3189 said:Of course I'm not accustomed to USC units, so perhaps ft and sec are implicit if F is in pounds?
nysnacc said:32 lbf?
No, 1 lbf cannot be equal to 1 lbm since the former is a unit of force and the latter a unit of mass. They simply have different physical dimension.nysnacc said:1 lbf = 32.174 lbm
W = 1lbf = 1 lbm * 32.174
Hard time finding it :(Orodruin said:No, 1 lbf cannot be equal to 1 lbm since the former is a unit of force and the latter a unit of mass. They simply have different physical dimension.
nysnacc said:Hard time finding it :(
No. Again, they are units of different physical dimension. One is a measure of force and the other is a measure of mass.nysnacc said:so 1 lbf = 32 lbm ?
Yes.nysnacc said:so for my sum of force in y, I should have put 200 lbf instead of 200*32??
Yes, with the unit lbf (always give the units!) - and assuming that v in the task is supposed to be inserted in ft/s, which (as mentioned above) is not at all clear from the problem.nysnacc said:oh typed it wrong,
F_y = - 200 +0.5* (100)2
No. 1 lbf = (1 lbm) g and therefore ...nysnacc said:Fy = 4800 (pointing up)
a = 4800 lbf / 200 lbm = 24 ft/s2
Orodruin said:4800 lbf / 200 lbm = 4800 g (1 lbm)/(200 lbm) = (4800/200) g = 24 g
Why not? Because it is a large acceleration? I said that already in this thread. No, it is not supposed to be 24 ft/s^2. That computation had obvious fallacies in terms of units.nysnacc said:768 ft /s^2 not making sense.
nysnacc said:The relationship between lbf and lbm is:
1 lbf = g* lbm??
Orodruin said:Yes, I have already said this in this thread. Note that g is a dimensionful quantity. Therefore g is not equal to 9.82 or 32. It is 9.82 m/s^2 = 32 ft/s^2.
Do not take this the wrong way, but it seems to me that you really need to read up on and understand units and physical dimensions. If these are not second nature, you will struggle more than necessary when studying physics.
The 200 in the problem is a mass. Masses cannot be measured in lbf since it is a unit of force. Masses can be measured in lbm since it is a unit of mass.nysnacc said:Yes, I'll take that :) so when do I know 200 is lbf and lbm? is it the problem in this exercises not stating the units clear?