Yes, the noise you are hearing is most likely the Secondary Air Injection Pump.
Most likely an automatic transmission vehicle? You need to check if your car has an electric vacuum pump for "brake booster assist".
If yes, then there might be a problem with the vacuum pump or tubing that is causing low brake assist when the engine is cold.
If no, then you can either retro fit the vacuum assist pump to the vehicle or fix the "low vacuum" issue (when cold).
Sunday, April 28th, 2013 AT 1:49 PM