Hello Eric,
I'm not certain of the specific error that you are receiving, but an EACCES error refers to a permission denied response when deleting '/Users/ericrohrer/.cache/bower/registry/adapt-bower-repository.herokuapp.com/lookup/adapt-contrib-vanilla_73013'
Can you check that you have granted yourself elevated user permissions on the /usr/local directory as documented here, (alternately you can prefix the install command with 'sudo').