Here's why:
* Prospero freed Ariel: Ariel was imprisoned by the witch Sycorax, and Prospero freed him. Ariel is grateful for this and vows to serve Prospero.
* Prospero promised Ariel freedom: Prospero promises to set Ariel free after he fulfills his tasks. This gives Ariel a clear goal and motivation to serve.
* Ariel respects Prospero's power: As a powerful magician, Prospero commands Ariel's respect. Ariel recognizes his own dependence on Prospero's magic.
* Ariel desires freedom: While Ariel is loyal to Prospero, he also longs for his own freedom. He expresses this desire throughout the play, but he remains committed to fulfilling his promises to Prospero.
While Ariel may express impatience or frustration at times, this doesn't translate to dislike. He is fundamentally loyal to Prospero and serves him willingly.