No quotes, as comments on several previous posts...
Climbing (and.or Mountaineering) is a discipline that like many others has taken words from other actrivities and redefined them to mean new things, which are understood by their practioners. Computing is probably the worst example of this!!
So, as a climber, "belay" is used in a few ways. As a noun, a belay is a solid anchor point, usally at the top of a climb that the climbing leader ties himself on to. The belay might be a number of devices placed in cracks in the rock, slings (loops of rope or textile tape) looped over rock spikes or previously placed "bolts" (another word redefined to mean devices like large rawlbolts, or resin anchors), etc., etc.
Belay is also used as a verb meaning to control the speed of a rope, usually because your partner is tied to the other end of it. This happens both when the leader is climbing, when they *are* simply tied into one end of the rope, but also when the "second" climbs.
From the second meaning is derived the name "belay device" which is used to describe a number of mechanical devices which are used to control the speed of a rope. Typically the belay device is attached to the climber's harness with a karabiner. Belay devices include automatic locking ones.
On the subject of rope, climbing shops often sell rope from the reel by the metre, so it is possible to obtain shorter lengths, however it's usually more economical to buy pre-cut lengths - they come in standard lengths, commonly from about 30 to 60 metres. Having said that, climbing rope is expensive, because it's designed to meet several demanding (and conflicting) roles: to be as light as possible, to be as strong as possible, to not absorb water, to be nice to handle, to resist abrasion, but most importantly to absorb impacts gradually when a climber falls off. The latter attribute is unlikely to be of importance in the OP's application, and hence makes climbing rope over specified for his use.
Graham (A climber :-) )