Accortding to their help forum you need to send an email to [email protected] with the following information.
How are you planning on using the data?
How are you using the API in your app/website? Is the data being cached?
Provide mocks of the app/website with the RT API integration following the Brand Guidelines.
What is the estimated number of monthly users?
Provide a country of origin for your app/website.
Your API Username and Email address
See here for help on the matter:
http://developer.rottentomatoes.com/forum/read/188558
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solved How to use Rottentomatoes.com API [closed]