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#29
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Re: Team 2526 - Propeller Propulsion Prototype.
You're right that a robot, by itself, would accelerate the same regardless of it's mass. Using Newton's second law and the formula for frictional force we have two equations:
Ff = m * a Ff = mu * N = mu * m * g Setting them equal, we get: m * a = mu * m * g ---> a = mu * g The masses cancel, showing that the maximum acceleration of the robot depends just on mu and g (which are both the same for everyone) The difference between driving with wheels and driving via fans is that the fans provide a pushing force that doesn't decrease with mass. So we just have Newtons second law: F(fan) = m * a ---> a = F(fan) / m In this case, acceleration does depend on mass. The lighter you make the robot, the faster it can accelerate. (It's a little more complicated than this because of the added mass of the trailer, but using a fan still allows you to decrease your overall mass but keep the same pushing force) |
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