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Circular motion M2 Q not playing nicely - anyone able to sort it?
A car is on a roundabout of radius 50m. The coefficient of friction is 0.6. What is the greatest speed at which the car can safely negotiate if surface is horizontal (this bit's fine; it's [sqrt(30g)] or ~17.15).
Then it asks...
What is the maximum possible rate of increase of speed when v=10m/s?
...which is stumping me. Ought to be able to do it but think I've been staring at it too long now.
ps - the answer isn't "42" before anyone posits that one!
Where do I send my invoice to?
Thing is, that one I *can* answer... 😉
Conveniently ignoring loads of real world issues like body roll, reduced inner wheel grip and no limited slip diff, using the outer kerb for a little extra grip etc then
Work out the force required to go round the roundabout at 10m/s then take that away from the maximum grip to find out how much grip you have left for accelerating perpendicular to the radius. F=ma etc
