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Scalars Scalars

Scalars - PowerPoint Presentation

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Uploaded On 2016-12-15

Scalars - PPT Presentation

vs Vectors Scalars a quantity that only needs a magnitude with a unit to describe it Ex Vectors a quantity that needs a magnitude with a unit and a direction to completely describe it ID: 502041

components vector scale vectors vector components vectors scale quantity magnitude original direction arrow physics length key triangle legs moving

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Slide1

Scalars vs Vectors

Scalars – a quantity that only needs a magnitude (with a unit) to describe it

Ex:

Vectors – a quantity that needs a magnitude (with a unit) and a direction to completely describe it

Ex:

and there are many others still to come…

So vectors are generic tools, developed specifically for Physics, used to help us solve physics problems and explain things more clearly.

You’ve never heard of them before because Bio &

Chem

only deal with scalar quantities, so your teachers never needed to mentioned there were also these things called vectors.Slide2

We use arrows to represent a vector quantity in a diagram

its length represents the magnitude of the vector, according to the units set by some scale

Choose a scale so that your

diagram

will be

as large as possible in the space provided,

but no arrow will need to be longer than your c-thru

.

the arrow tip indicates its direction

according to some directional key

Try one: Draw the velocity v = 30 km/hr, East

What should we use as a scale?

Slide3

So finally, v = 30 km/hr, east would look like:

scale 1 cm = 2 km/hr & key

N

W + E S

Note: the tip should be drawn very carefully so to not change the length of the carefully drawn arrow.

Now let’s look in the text at some more examples on page 29. Slide4

Vector Components

Consider the following: for a displacement of something that ends up SW of where it started, that could have come about by that object moving so far directly W, then so far directly S…

The legs of the right triangle are the components of the original vectorSlide5

OR, for a plane that flies with a velocity in the NW direction, that could be because the plane’s engines where moving it W while the wind was blowing it N…

Again, the legs of the right triangle are the components of the original vectorSlide6

Sometimes in Physics (actually, quite often!) it is important to know the value

of

the

components of a vector

there are 2 for each vector they are vectors themselves they lie on the main directional axes they’re perpendicular to each other if added together, their sum equals the original vectorThe process of determining the components of a given vector is called resolution, or, another way, to resolve the vector into its components. Let’s try one….