Convert PHP variable "11:00 AM" to MySQL time format

Trying to convert standard time variable from form input to TIME format acceptable for MySQL INSERT. I might be going about it all wrong and could use some help. I've read through the MySQL TIME functions and PHP TIME functions but haven't found a solution yet.

Here's what I've tried as an example:

<?php
$time_input = '11:00 AM';

$strtotime = strtotime($time_input);

$mysql_time = date('H:m:s',$strtotime);

echo "<p>time_input: $time_input</p>";
echo "<p>strtotime: $strtotime</p>";
echo "<p>mysql_time: $mysql_time</p>";
?>

The result is changing the time to 11:08:00 (not sure where the 8 minutes is coming from):

time_input: 11:00 AM

strtotime: 1344438000

mysql_time: 11:08:00

Any help is much appreciated!