I have a 1999 Accord LX 4-cylinder automatic with about 30K miles. In
the last couple of weeks, I started noticing that when I go into
reverse, the car makes a moderately-pitched whining noise that seems
to come from the right front of the car. It doesn't seem to be a
brake noise as it will do it even if my foot is off the brake
(although the noise intensifies if I brake). I'm also fairly certain
the noise is new.

Does anyone have an idea as to what would cause this?

Thanks.

Bob