Does constant radial velocity always mean zero radial acceleration?

[rallizes]

Had a problem on a test today where a constant radial velocity of a particle was given in radians/sec with parametric equations that defined a spiral. Later it asked if the particle was accelerating radially, linearly or a combination of the two and I put linearly only because I figured if the radial velocity was constant than the radial acceleration should be zero.. Thinking about it more I'm starting to doubt myself and get the circles tangled up in my head so I thought I'd come here for help, anybody know?

 

[aim1732]

Constant radial velocity does not imply zero radial acceleration.