
aufdrehen
to turn up
To open something or increase its power/intensity by turning, e.g. a faucet, the heating, or the volume of a device.
Kannst du bitte die Musik etwas lauter aufdrehen?
Can you please turn the music up a bit?
to turn up / open
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to turn up
To open something or increase its power/intensity by turning, e.g. a faucet, the heating, or the volume of a device.
Kannst du bitte die Musik etwas lauter aufdrehen?
Can you please turn the music up a bit?

to get hyper
Colloquial for becoming very energetic, excited, or overactive, often in a loud or exuberant way.
Die Kinder haben nach dem Zucker total aufgedreht und sind durch die Wohnung gerannt.
After the sugar, the kids got totally hyper and ran through the apartment.

to unscrew / open
To open something that is screwed shut or twisted closed, such as a bottle cap or a screw.
Ich bekomme den Deckel von diesem Marmeladenglas einfach nicht aufgedreht.
I just can't get the lid of this jam jar open.
'Aufdrehen' (to turn up / open) is a separable verb. The prefix 'auf' comes at the end in a main clause. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Er dreht die Heizung auf.
He turns up the heating.
You can recognize the meaning from the object: With devices (music, heating), it means 'to make louder/stronger'. With containers (bottle, jar), it means 'to open'. Without an object and with a person as the subject, it colloquially means 'to become overactive'.
Dreh bitte den Wasserhahn auf.
Please turn on the faucet.
The meaning 'to become energetic or overactive' is colloquial. It is often used to describe the behavior of children or excited people.
Die Welpen drehen immer auf, wenn sie Futter bekommen.
The puppies always get hyper when they get food.
to open
Aufmachen generally means opening something that is closed. Aufdrehen is more appropriate when something is opened by turning it, such as a screwed-on lid. Aufmachen fits a door or a letter, while aufdrehen is more suitable for a bottle with a screw cap; depending on the focus, both words can be understood in that context.

Bitte dreh die Flasche auf, damit wir den Saft einschenken können.
Please unscrew the bottle so we can pour the juice.
Bitte mach die Flasche auf, damit wir den Saft einschenken können.
Please open the bottle so we can pour the juice.