Explain how amplitude and loudness are related?

http://www.google.com/search?hl=en&client=firefox-a&rls=org.mozilla:en-US:official&hs=HJM&defl=en&q=define:amplitude&sa=X&oi=glossary_definition&ct=title

http://www.google.com/search?q=define+loudness&ie=utf-8&oe=utf-8&aq=t&rls=org.mozilla:en-US:official&client=firefox-a