امروز هوا گرم است، برای همین پنکه را روشن کردم، اما کولر هنوز کار نمیکند.

In formal written Persian, است is normal and complete.

In spoken Persian, it is very often reduced or replaced:

• هوا گرم است → formal
• هوا گرمه → common spoken form

So yes, in everyday speech you will often hear امروز هوا گرمه rather than the fully formal امروز هوا گرم است.

برای همین means for this reason, so, or that’s why.

It connects the first idea to the result:

• It is hot today
• for this reason / so
• I turned on the fan

Literally, it is made of:

• برای = for
• همین = this very / this exact

But as a whole, it works like a set phrase meaning so / that’s why.

را marks a specific direct object.

In پنکه را روشن کردم:

• پنکه = fan
• را = marks it as the object
• روشن کردم = I turned on

So the fan is the thing affected by the action.

This is also why کولر in the last clause does not take را:

• کولر هنوز کار نمی‌کند Here کولر is the subject, not the object.

Persian often expresses turn on with روشن کردن.

Literally:

• روشن = lit, bright, on
• کردم = I did / I made

So روشن کردم literally feels like I made it on/lit, but in natural English it is simply I turned it on.

This is a very common verb combination for lights, fans, devices, and similar things.

Because the sentence is talking about two different time perspectives:

• روشن کردم = a completed action in the past: I turned on the fan
• کار نمی‌کند = a present situation: it does not work / it still isn’t working

This tense combination is very natural. English does the same kind of thing:

• I turned on the fan, but the AC still doesn’t work.

کار نمی‌کند means doesn’t work / isn’t functioning. For machines and appliances, this is the normal way to say that something is not operating properly.

That is different from روشن نیست, which means it is not on.

So:

• روشن نیست = it is switched off
• کار نمی‌کند = it is not functioning

A cooler could be on but still not working, so کار نمی‌کند is the better choice here.

هنوز means still or sometimes yet, depending on the translation.

In کولر هنوز کار نمی‌کند, it means:

• the cooler still doesn’t work

Its position before the verb phrase is very normal in Persian. It modifies the whole situation of not working.

The standard spelling is نمی‌کند.

Persian normally writes the prefixes می and نمی with a half-space before the verb stem:

• می‌کند
• نمی‌کند

But in casual typing, many people skip the half-space and write:

• میکند
• نمیکند

So نمیکند and نمی‌کند represent the same word, but نمی‌کند is the standard written form.

In careful/formal pronunciation, it is roughly nemikonad.

In everyday spoken Persian, it is often shortened to something like:

• نمی‌کنه

So learners should recognize both:

• نمی‌کند = formal/written
• نمی‌کنه = common spoken

Both mean but.

The main difference is style:

• اما = slightly more formal or written
• ولی = very common in everyday speech

So this sentence could also use ولی and still sound natural:

• ... ولی کولر هنوز کار نمی‌کند

Persian is generally verb-final, so the verb usually comes near the end of each clause.

You can break the sentence like this:

• امروز = time expression
• هوا گرم است = clause 1
• برای همین = connector
• پنکه را روشن کردم = clause 2
• اما = contrast connector
• کولر هنوز کار نمی‌کند = clause 3

A key point is that the object usually comes before the verb:

• پنکه را روشن کردم
• literally: the fan + object marker + turned on + I

The I is not stated separately because it is already built into کردم.

کولر is a loanword used for a cooling device. Depending on region and context, it can refer to:

• an air conditioner
• a cooler
• an evaporative cooling unit

In everyday Persian, the exact type is often understood from context. In this sentence, it simply refers to the cooling machine that is not functioning.

Persian uses punctuation similar to English, but the comma shape is different:

• Persian comma: ،
• English comma: ,

In this sentence, the commas separate the clauses:

• امروز هوا گرم است،
• برای همین پنکه را روشن کردم،
• اما کولر هنوز کار نمی‌کند.

So the punctuation works much like English, even though the symbol looks different.