I have whirlpool washer that only fills half way with water on the rinse cycle. Fills fine on wash.

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If it doesn't fill for the rinse, I would say that the cold inlet valve has failed. Check that the cold tap is turned on and check when the machine fills for the wash cycle and see if it is taking hot or cold water. You will probably find that it is filling only with hot water. A local spares store should have the valve you need.

So when the cycle first starts, it will fill and agitate and spin. But then on the rinse cycle it stops?

There are 2 inlet valves 1 for hot water and 1 for cold. Sounds like your hot water valve is either faulty or the hot water valve to it is off. The machine normally fills with hot water as it doesn't have a heating element to heat the water and fills with the cold water to rinse

You probably have a cold inlet valve with restricted flow, either because the filter on the inlet valve is clogged or because the cold valve is failing......If you wash on "warm" you have both hot and cold water mixed. On rinse there is probably only cold water used....Check water flow for HOT and COLD settings and you'll probably see the difference...Good luck...Nomess

This assumes that you have a basic Kenmore / Whirlpool top load, direct drive, neutral drain (it doesn't spin until the pump removes most of the water) machine.

First, see the Sears parts site for your washer:
http://www.searspartsdirect.com/partsdirect/index.action

Enter your model number (###.#######) and you'll see a list of major sub-components with diagrams and parts.

Following is a Whirlpool / Kenmore service manual for top load, direct drive washers.

https://secured.whirlpool.com/Service/SrvTechAdm.nsf/2cd44500d572193285256a45004fd9d6/f7e2147fa98b28cf85257122007475cb/$FILE/L-55.pdf

Initial thoughts are that the Timer is worn / broken.

Here is a description of how to gain access to the console on these washers where you may be able to test the timer. (See the Whirlpool service manual for testing)

http://www.american-appliance.com/catalog/newsdesk_info.php?newsPath=16&newsdesk_id=131

Are you on well water? turn off the cold water to the washer and clean the screen filter out. do not leave filter out.
the machine probably has a cold only final rinse so it won't work properly.

When the washer initially fills for the wash, is it only hot water entering the drum? Try switching the water temperature between hot and cold as it fills. If any of them show little or no water getting through, it sounds too easy but check to make sure water supply taps are on, and that the cold/hot fill hoses aren't reversed. Remove the fill hoses and check any of the screen filters for blockage (in the hoses and in the inlet water valve). When the machine stops and waits to fill but all you hear is a hum, it sounds like there is power going to the valve but water is not able to get through it.
Good luck!

that is either a problem with the timer , or with the cold water hose at the back of the machine, see the following:



I quote from : The cycle doesn't advance

The cycle doesn't advanceWhen the cycle doesn't advance, it's probably the timer or a cold-water supply problem:

It'sthe timer, if your washing machine fills with water and beginsagitating, but the timer never advances--or if the washer is in a spincycle and the timer won't advance. Then you need to replace the timer.

Itmay be a cold-water supply problem, if the washing machine fills withwater, agitates, drains, and spins, but then doesn't fill with rinsewater. See There's no cold water.