Question

Question #bb8aa

Answer 1

See below...

Explanation:

Since the equation given multiplies by `sin(2pi)`, which is equal to zero, the entire equation is equal to zero.

`:.y=0`

However, since it looks a lot like the equation for a traveling sine wave, perhaps you meant to type this instead...

Traveling sine wave:

`y=Asin(((2pi(x-vt)))/lambda)`

Our Units:

• `|->y="m`
• `|->A="m"`
• `|->x="m"`
• `|->lambda="m"`
• `|->t="s"`
• `|->v="m"//"s"`

We now have:

`m="m"sin(((2pi("m"-("m"/cancel"s")(cancels))))/m)`

`="m"sin((2pi*((cancel"m"-cancel"m"))/cancelm))`

`="m"sin(2pi"(dimensionless value)")`

Since the sine function takes on a dimensionless argument and will return a dimensionless value, we are left with:

`"m"="m"`

`:.` The units work out :)