Is there a significant overhead by using different versions of sha hashing (hashlib module)

The hashlib Python module provides the following hash algorithms constructors: md5(), sha1(), sha224(), sha256(), sha384(), and sha512().

Assuming I don't want to use md5, is there a big difference in using, say, sha1 instead of sha512? I want to use something like hashlib.shaXXX(hashString).hexdigest(), but as it's just for caching, I'm not sure I need the (eventual) extra overhead of 512...

Does this overhead exist, and if so, how big is it?