Seems I’m becoming a physics teacher! Anyway, let’s continue.
In the whole universe we know about, there are … 7 units. They are:
- Length
- Mass
- Time
- Electric Current
- Temperature
- Luminous Intensity
- Amount
These are known as the SI base units, and are measured in (respectively):
- Meters
- Grams
- Seconds
- Amperes
- Kelvin
- Candela
- Mole
Note that these aren’t true base units. With some clever use of the speed of light, planks constant and some other horrible rubbish you can get rid of some of them, but I won’t go there.
There are several rules to follow when working with these units:
- You can only add like units (ie you can add meters to meters, you can add (grams per meter squared) to (grams per meter squared), but you cannot add meters to (grams per meter squared))
- But you can multiply everything together.
- You don’t have to go down to base units all the time. Just go to some common unit.
There are rules regarding differentiation and integration, but I can’t recall them at this point in time.
So let’s figure out what energy is.
Normally we talk about it in joules, but some basic physics tells us that E = 1/2 mv^2
Because we’re not working with number here, only units, we can discard the half, and energy = m*v^2
Now we know that velocity is meters per second. So energy = m^3 / s^2
Now lets think abotu this. If I take a volume, and divide it by some time, uh, hang on. What? That is a warning: just because the units make sense doesn’t mean the physics is tangible/real. UNIT ANALYSIS CAN SHOW A FORMULA IS GARBAGE, BUT CANNOT PROVE IT IS CORRECT.
So let’s do one that’s more understandable.
You should know that acceleration is measured in … m/(s^2).
And lets’ take the formula a = (v^2)/r This happens to be the acceleration something experiences when travelling in a circle. Let’s see if we can prove that it makes physical sense.
Let’s stick in v = m/s (because velocity is measured in meters per second), and we know that radius is measured in meters. Thus we have:
a = (m/s)^2/m
Expand it:
a = (m^2)/(s^2 * m)
a = m/(s^2)
Hey! So obviously that formula is, at the very least, not too wrong.
So what can we use this for?
Straight up:
N = Nm/m
Yes, if you divide the meters away from torque (Nm), you end up with just the force.
N an nm2
Hmm, a newton equal to a newton-meter squared? A newton meter squared is a measure of pressure, there’s that extra m^2 in there. So unless I’m misreading nm2, nm2 does not equal n.
wouldnt a N become a Slug. Sorry i dont know the abbreviation. Ill try it. but if I convert from metric(newtons) to standard(slugs), wouldnt the 9.8 squared turn into whatever a slug is. Somehow this converts to Ft/lb’s or m/kg…Sorry my head just exploded
So conversion from metric to imperial uses dimensionless numbers. They’re simply ratios. So you can convert from a meter to a foot, or from a pound to a kilogram, but you cannot convert from a foot to a kilogram. Sorry if I’m stating the obvious here.
I think you may be getting mixed up here about gravity.
- Gravity applies a force
- Gravity has constant acceleration
So gravity will accelerate an object downwards at 9.8m/s (here on earth).
This can simply be proven by the knowledge that the unit for a netwon is … a kilogram-meter per second. (F = m*g)
im taking physics and we convert weird things that I didnt even know converted, like volume to force.
I hope there are some factos in there that you didn’t mention. You can’t convert a volume straight to a force. A meter cubed does not push unless it has mass and is in a force field. (eg gravitational or electrical field)
Friction and damping
Friction and damping has to come in somewhere. but I dont know exactly what those are as far as forces.
I’ve simplified the diagram a lot. If I put every single force on there, I’d be there all day and the page would be a black smudge. If you have sensitive enough equipment, you’ll discover that … light exerts a measurable force on objects.
Damping is always friction, but friction is not always damping. So I’m just going to talk about friction.
Where is there friction? Everywhere:
- Air friction as the spanner rotates
- Friction in the bolt which makes it harder to move (and in fact is the only reason that bolts stay in)
- Friction between your hand and the spanner
There are plenty of other forces in the system to:
- Springiness in the spanner (it flexes when you push it)
- Tension in the bolt as it gets tightened
- Fluid-flow in your hand as the pressure from the spanner displaces your blood
- Tension in your bodies muscles and the springiness of bone
- Shear force in the head of the bolt
- Bearing stress induced by the spanner onto the bolt-head
A final word on torque and unit analysis:
You never actually experience a torque: When you touch a spinnign rod your hand experiences a force. Where in a system is the torque? At the rotation point? no matter how small you make the shaft, when you touch it, you will experience a force. Torque is just a mathermatical contruct that is very useful for comparion.
Hope I gave you some interesting reading…
Come back tomorrow with some more questions.