Spiral ladder and Inclined straight ladder，which is faster?
As shown in the figure, the swimming pool is equipped with rotating slides(left side) and inclined escalators(right side). It is known that both of them the total length of both slides is 20 meters and the height of is 12 meters. Tom and Jerry climb on the rotating slide ladder and straight inclined slide respectively. They bet on 100rmb, if one of them take less time to reach bottom of ladder, who win 100 rmb!
Assuming that the friction coefficient of the staircase and the sliding of the child are both 0.25, Do you think who will win ? Just for your reference, sketch picture of the rotating slide and the speed of the straight slide are as follows:
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1 solution
The different lies on Friction force，we need to find out which people is effect by Greater friction
which is the only thing to decide slipping speed .Refer to rotating slides(left side) include A and B Friction force A : Tangent direction come from weight of people: Friction force = u×m×g Friction force B : Tangent direction come from the Centripetal force，relate with R is radius of rotating slide
While for inclined escalators(right side)， only include Friction force A : Tangent direction