In determining the type of projector, and its needed brightness(lumen), the size of the screen and the amount of light on the screen will have to be taken into consideration.
While I'd like to give the church a direct answer (like "3000 lumen"), it would be inaccurate to guess. There are additional math and light meter readings that are needed to answer this question, and we do not have those variables. A consultant or qualified design/build firm with the necessary metering equipment and mathematical equations is required to accurately detail the exact needs of the church in our examples.
SUMMARY
I applaud this church for asking questions instead of spending foolishly. They are asking with limited knowledge and need the help of a professional to know what are the right questions to ask, and, more importantly, what it will take to provide a solution for them.
Over and over again in my work with churches, I find these same types of questions. The answers are found through educating the churches in their technology purchases. The more information they have to make informed decisions, the better stewards they will be with God's money.
I wish this stuff were simpler. The facts speak for themselves: to do it right, you must take all of the factors into consideration and look at it as you would a new building program. To do less would be poor stewards of the money God entrusts to you.
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Experiencing Worship, The Study