Jeg er frisk på en tur i skoven.

In this sentence, at være frisk på noget means to be up for something, to feel like doing something, or to be willing/keen to do something.

So:

• Jeg er frisk på en tur i skoven = I’m up for a walk/trip in the forest

Important: frisk by itself often means healthy, well, or fresh, but in the expression frisk på, it has the special meaning ready/willing/up for.

Examples:

• Er du frisk på kaffe? = Are you up for coffee?
• Jeg er frisk på at tage af sted nu. = I’m up for leaving now.

No. That is a very common source of confusion.

Frisk can mean different things depending on context:

• healthy / well
  
  • Jeg er frisk igen. = I’m well again.
• fresh / cool / brisk in some contexts
• energetic / lively
• in frisk på: up for / willing / keen on

So in your sentence, it does not mean I am healthy on a trip in the forest. It means I’m up for a walk in the forest.

Tur is a very common Danish noun that can mean:

• trip
• outing
• walk
• ride
• sometimes turn, depending on context

In en tur i skoven, the most natural English translation is usually a walk in the forest or a trip to/in the forest, depending on context.

Because tur is a common gender noun in Danish, it takes en in the singular indefinite form:

• en tur = a walk / a trip
• turen = the walk / the trip

Because i is the normal preposition for being in a place like a forest.

• i skoven = in the forest / woods

Danish often uses i where English might say in or sometimes into, depending on context.

På is used for other types of locations, often surfaces, islands, institutions, events, etc., but not normally with skov in this meaning.

Compare:

• i skoven = in the forest
• på stranden = at/on the beach
• på arbejde = at work
• i byen = in town

Skoven is the definite form of skov:

• en skov = a forest
• skoven = the forest

In Danish, the definite article is usually added to the end of the noun:

• bil → bilen
• tur → turen
• skov → skoven

In this sentence, i skoven often means something like in the forest / in the woods, where Danish naturally prefers the definite form.

This is similar to set expressions in many languages. Even when English might sometimes say in the woods or in a forest, Danish very often says i skoven.

Yes, it is natural and idiomatic.

It sounds conversational and friendly. A native speaker might say it when suggesting or agreeing to an outing.

Depending on tone and context, it could mean:

• I’m up for a walk in the forest
• I’d like to go for a walk in the woods
• I’m keen on a trip to the forest

It is slightly informal, which fits frisk på well.

Yes, absolutely. That is another very natural option.

There is a slight difference in nuance:

• Jeg er frisk på en tur i skoven
  = I’m up for a walk in the forest
  -> emphasis on being willing/ready

• Jeg har lyst til en tur i skoven
  = I feel like a walk in the forest / I want a walk in the forest
  -> emphasis on desire

Both are common. Frisk på can sound a bit more spontaneous or enthusiastic.

Yes. This is standard Danish main clause word order:

• Jeg = I
• er = am
• frisk på en tur i skoven = up for a walk in the forest

So the structure is:

subject + verb + complement

Danish main clauses usually place the finite verb in second position, and in a simple statement like this, that gives:

• Jeg er ...

If you change what comes first, the verb still stays in second position:

• I dag er jeg frisk på en tur i skoven. = Today I’m up for a walk in the forest.

Yes, it can be followed by both.

1. frisk på + noun

   • Jeg er frisk på en tur i skoven.
   • Er du frisk på pizza?

2. frisk på + at + infinitive

   • Jeg er frisk på at gå en tur i skoven. = I’m up for taking a walk in the forest.
   • Er du frisk på at se en film? = Are you up for watching a film?

So if you want a more verbal version of the same idea, you could say:

• Jeg er frisk på at gå en tur i skoven.

They are closely related, but the grammar is different.

• en tur i skoven = a walk/trip in the forest
  -> noun phrase

• at gå en tur i skoven = to take a walk in the forest
  -> infinitive verb phrase

So:

• Jeg er frisk på en tur i skoven.
  = I’m up for a walk in the forest.

• Jeg er frisk på at gå en tur i skoven.
  = I’m up for taking a walk in the forest.

Both are natural. The second is a little more explicit about the action.

A careful pronunciation would be roughly:

YAI er fresk po en toor ee SKO-ven

A few notes:

• Jeg often sounds more like yai than like it is spelled.
• er is often very short in normal speech.
• frisk på may be pronounced smoothly together.
• skoven has stress on the first syllable: SKO-ven

In more natural speech, Danish pronunciation gets reduced a lot, so the sentence may sound more compressed than the spelling suggests.

It can match both, depending on context.

• skov = forest / woods

So i skoven can often be translated naturally as:

• in the forest
• in the woods

English choice depends on style and context more than on a strict Danish difference.

Yes. Literally, it refers to a trip/walk in the forest, but en tur is flexible and can describe a casual outing.

So depending on the situation, it might suggest:

• a short walk
• a longer outing
• a relaxed nature trip

Usually, though, most people would understand it as a fairly ordinary walk or outing in the woods/forest unless context suggests something bigger.