If you feel a pulsing through the brake pedal as you turn right then
it most likely is your CV joints (front wheels).  While parked turn
the front wheels as far as they will go and then look under your car
where the axle meets the wheel (check right wheel first since you hear
the sound on right turns).  There will be a rubber boot (cone shaped);
the boot holds grease that lubricates the ball joint.  Over time the
boots dry rot and eventually split, which will let in dirt and water.
Both Hondas I've owned have done this (Right wheel on both cars,
probably because you make more right turns than left) . ...I believe
it happened somewhere around 80-85k miles.  If it's broken... (my
mechanic told me)...you have two choices: have the CV joint replaced
(It's been a while since I've had it replaced so I don't remember the
cost but it's not cheap...maybe around $350 labor and $150 - 200 for
the parts, that may be for only one axle; call a repair shop or
dealership and they will tell you.  Second option is to drive it until
you can't stand the noise anymore.  On my first Honda I took the
second option because once the damage is done there's nothing you can
do about it and I was in school so money was tight. I waited 2 years
before I replaced the joint.  I asked the mechanic what the risk of
taking option 2 was and he said that eventually the ball joint will
dry out and the wheel will freeze up but that the noise would really
bother me before that happened.  On the second Honda (the one I still
drive) I caught the split boot before damage was done and just
replaced the boots.  Replacing only the boot is still expensive
because the labor is almost the same as replacing the whole axle but
you're not paying for a new CV joint.  If replacing, I would only
replace the bad one.  The left boot on both of my cars never broke and
my first Honda was 12 years old before I sold it and my current Honda
is 10.