General Question

They are both correct. Put on refers to the act and wear to the state. I put my shoes on in the morning when I get up; I wear them all day.

I put my shoes on in the morning when I get up; I wear them all day; and take them off before bedtime.
put on .... wear .... take off

I put on my coat when I go out, I wear it outside; and take it off when I get to work.

Thank u very much

David AlikaeeThank u very much

"u" is not an English word. Please don't use text-speak on this site.

What about the imperative? Would both work equally naturally?

Wear your shoes quickly.
Put on your shoes quickly.

Also:

Take off your jacket quickly.
Remove your jacket quickly.

Thanks,

Tom

Mr. TomWear your shoes quickly.

No. That doesn't work.
Your shoes wear out quickly.

Mr. TomPut on your shoes quickly.

Sure.

Mr. TomTake off your jacket quickly.Remove your jacket quickly.

Sure.

Thanks, AStars.

Your reply tells me that I have been misusing wear all my life. Do the following sentences work? All of these sentences talk about an action and not state.

I have nothing nice to wear. (action)
(I want you to) wear something red today.
Can I wear this shirt of yours to the party?

Tom

Those sentences refer more to a state than an action. The 'action' part is putting them on. Once they are on, the wearer is not 'doing' anything.

Mr. TomI have nothing nice to wear. (action)(I want you to) wear something red today.Can I wear this shirt of yours to the party?

Those sentences are fine.
"Wear" is an action, but it does not express a change in state.

Also:

I advise wearing sunscreen today.
Do you like how I look? I am wearing my new designer dress and mat

Thanks a lot, Jed and AStars.

By the way, this one was really surprising to learn today.

Wear your shoes quickly. [wrong]
Wear something red today. [correct]

Tom