- #1

StephenPrivitera

- 363

- 0

The "x" means cross product

This is the tangential velocity.

So,

(d

I learned this from class.

But where is the radial velocity?

If we write

Can

Now

=(d

Through a little geometry, I can show that d

So,

=(d

First question: have I violated physics and mathematics at once?

Second question: can I simplify this? (I don't know the distributive/associative properties of "x")

Third question: What do each of these terms signify? (ie, cent. accel, tang. accel, etc)

Fourth question: What exactly is this vector

**v**=**w**x**r**This is the tangential velocity.

So,

**a**=(d**w**/dt) x**r**+**w**x (d**r**/dt)(d

**w**/dt) x**r**is the tangential acceleration**w**x (d**r**/dt) is the radial (centripetal acceleration)I learned this from class.

But where is the radial velocity?

If we write

**s**=**T**x**r**, then**v**=**w**x**r**+**T**x (d**r**/dt)Can

**T**x (d**r**/dt) be interpreted as radial velocity?Now

**a**=(d**w**/dt) x**r**+**w**x (d**r**/dt) +**w**x (d**r**/dt) +**T**x (d^{2}**r**/dt^{2})=(d

**w**/dt) x**r**+ 2**w**x (d**r**/dt) +**T**x (d^{2}**r**/dt^{2})Through a little geometry, I can show that d

**r**/dt=**w**x**r**So,

**a**=(d**w**/dt) x**r**+ 2**w**x (**w**x**r**) +**T**x (d(**w**x**r**/dt)=(d

**w**/dt) x**r**+ 2**w**x (**w**x**r**) +**T**x ((d**w**/dt) x**r**+**w**x (**w**x**r**))First question: have I violated physics and mathematics at once?

Second question: can I simplify this? (I don't know the distributive/associative properties of "x")

Third question: What do each of these terms signify? (ie, cent. accel, tang. accel, etc)

Fourth question: What exactly is this vector

**T**?
Last edited: