Sounds like the motor isnt getting up to full speed.
Power off, drag machine out onto the floor, remove the back cover and locate the motor. May help if the machine is tilted at an angle or laid on its side. Check out the carbon brushes in the motor. Theyre graphite blocks which transfer mains power to the copper segments of the motor -Theyre probably worn down. They're quite cheap parts and easy to replace. The brushes are at the other end of the motor from the drive pulley. The holders are plastic or bakelite and are generally held in with screws or plastic clips. Also, look at the copper segments they run on to check for burning or pitting. If the segments are burnt or damaged you need a replacement motor or a replacement armature (motor part) if you can source one. Occasionally may be a fault in the motor drive circuit board - in which case replacement of board only real option.
Check the tacho coil for breakages in the connections. The tacho coil is a small generator coil on the end of the motor which provides a voltage proportional to the speed of the motor. This voltage is fed back to the speed control module to enable the machine to check the rotation, direction and speed of the motor. sometimes the screw holding it on has just come undone and it has fallen off or the outer casing has come adrift.
Spin problems may also be caused if the machine reckons the load is out of balance, rearrange the load. If problem persists could possibly be a fault in the out of balance detector switch or the suspension and damping system.
Repair and service your own washing machine. Go to www.2ndwave.co.uk/manual.html
dannyboy, January 2009