Die Speiche ist am Rad.

Because Speiche is a feminine noun in German. Its dictionary form is die Speiche.

In this sentence, die is also the correct article for the nominative singular, because Speiche is the subject of the sentence:

• Die Speiche = the subject
• ist = is
• am Rad = at/on the wheel

So die here tells you both the noun’s gender and its role in the sentence.

In a normal German main clause, the finite verb usually comes in second position. This is one of the most important German word-order rules.

Here the structure is:

• Die Speiche = first element
• ist = second element
• am Rad = rest of the sentence

So the sentence follows the standard German pattern:

Subject + verb + other information

Am is a contraction of:

• an dem → am

So am Rad literally comes from an dem Rad.

German often contracts certain preposition + article combinations:

• an dem → am
• in dem → im
• zu dem → zum
• zu der → zur

In this sentence, am means something like on / attached to / at the wheel, depending on the context.

Because this sentence describes a location, not a movement toward something.

The preposition an can take two different cases:

• dative for location
• accusative for direction or movement

Here, the spoke is already in its place, so German uses the dative:

• an dem Rad → am Rad

Compare:

• Die Speiche ist am Rad. = location
• Die Speiche kommt ans Rad. = movement toward the wheel

And ans is the contraction of an das.

Because the word Rad is grammatically neuter in German: das Rad.

German noun gender is often something you simply have to learn with the noun itself. It does not always match natural gender or make obvious logical sense.

So it is best to memorize nouns with their articles:

• die Speiche
• das Rad

That makes it much easier to build correct sentences later.

German prepositions are often different from English ones, and they depend on how the relationship is viewed.

Here, an works because the spoke is thought of as being attached to the wheel.

Very roughly:

• an = at, on, attached to, next to
• auf = on top of
• in = in, inside

A spoke is not inside the wheel in the same way a ball is in a box, and it is not on top of the wheel. It is part of the wheel structure, so an is natural here.

A helpful approximation is:

SHPY-khuh

A bit more carefully:

• Sp at the beginning of a German word is usually pronounced shp
• ei sounds like English eye
• ch here is the soft German ich-sound
• the final e is pronounced, but lightly

So Speiche sounds approximately like SHPY-cheh, with a soft ch that does not exist exactly the same way in English.

Because all nouns are capitalized in German.

So in this sentence:

• Speiche is capitalized because it is a noun
• Rad is capitalized because it is a noun

This is a standard rule in German, not something special about this sentence.

Yes. Literally, am Rad can mean at the wheel or on the wheel, depending on context.

German expressions with an + dative are often context-dependent, so the exact English wording may change. With Rad, possible interpretations in different situations could include:

• attached to the wheel
• on the wheel
• at the wheel

In this sentence, the surrounding meaning makes it clear that it is the literal physical relationship of the spoke to the wheel.