Connecting an Arduino to a servo with an external power supply
Your question is not very concise, but I'll try to hit the main points.

I'm going with the assumption that your "Arduino" is the Sparkfun Redboard. The Redboard has a current limit of &lt;800mA (heat management on the Redboard probably lowers this number even more), as per the LM1117 voltage regulator listed in the provided RedBoard schematic, and a minimum input voltage of 7V. You won't be able to power your Arduino with the 5V2A powerbrick. If you are powering the RedBoard through the standard USB, then it will typically be limited to 500mA. 

Are you sure your servo has a no-load draw of 170mA? That's really high for a servo. If it does, then I'm assuming it's a large servo that likely has a high stall current draw, so 800mA from the Redboard's on-board regulator won't cut it, nor a USB port.

To power your servo externally, wire the servo and Redboard according to the schematic below. The power supply is indicative of your 5V 2A "wall wart". It's important to note that you need to connect the ground of the the power supply to the ground of the Arduino. For controlling the servo, check out Adafruit's servo tutorial. You will also need to provide power to your Arduino via USB or a DC barrel jack with a power brick that outputs >= 7v.