Right front makes a noise when turning right when the car is cold

This due to either a worn wheel bearing or a worn front drive arm.

The most common cause of a grinding noise when turning is a worn front wheel bearing. What happens is that the weight of the car is shifted on to that wheel as you make the turn causing the worn bearing to make a grinding noise.

use an electronic stethoscope to find it , or 2 persons.
no body here can find noise, ,impossible.

Rob, assuming this is a 4X4? Sounds like a bearing. They can vibrate, snap, clunk, all kinds of terrible noises or vibrations.
Axle u joints will also do this. Is it all wheel drive?

Check the front engine mount..If its bad it could make a noise while turning or reverse..Hold the car in gear with your foot on the brake and carefully raise the engine ..do it in both reverse or forward and look for excessive movement..

possible bad wheel bearing on the right side when turning left takes the weight of the right front

the cv joint has gone bad, when you hear a clicking noise

Hi
Had the exact same problem, on a used 2003 Protege ES with 82,000 miles that I purchased.
Started with the loud "road noise" I thought well maybe thats just the sound that it makes.
And then noticed that it varies when turning.
This will continue to get worse and then your abs light will come on when it gets bad enough to trigger the sensor..
It turned out to be a bad wheel bearing.
Take it to a shop and have an experienced mechanic check it out. Its repairable.

possibly a wheel beering...to diagnose a wheel beariing, listen closley when making left and right turns...when turning left, weight shifts to front right side, If noise increases, it may be a front right wheel bearing.... vice versa for right turns.

Please rate this,
Rob...

the powersteering reservoir is black and right in front towards the right side of the engine with a twist off cap

Exactly the same problem.

2000-2003 Focus vehicles may exhibit a noise from the right halfshaft support bearing.

Due to the way the driveshaft is designed there is central bearing on the the shaft. On the front drivers side it has the tendency to hum at speeds over 40mph. This is the first sign that is the bearing is going. According to Ford it can be quite common in cars of 50-60k plus. If you don't notice the hum (I didn't really) you will eventually start to get a ticking/crackling noise at speed, which will gradually get worse and take less travel time to get going. Eventually the bearing will just seize, so it is worth getting it sorted.

Unfortunately even private mechanics will have to source the bearing, which isn't cheap, so it will cost around 125-150 quid at the garage to fix. It can be a pretty fiddly job, as the whole driveshaft needs to come out (not easy in high mileage cars due to build up of grime etc), so I wouldn't attempt to replace at home unless experienced.