- #1
lendav_rott
- 232
- 10
Homework Statement
The friction coefficient between the tires and the road is 0.6. What is the maximum velocity of the car without it sliding out of the turn. The radius of the curve is 80m. The curve is considered to be horizontal (as ridiculous as it may sound)
Homework Equations
F = ma
The Attempt at a Solution
Does the assignment imply that the centrifugal acceleration needs to overcome the gravitational acceleration?
If so then can I say that the centrifugal force has to be equal or less than the friction force between the tires and the road?
Fcf = ma = mv²/r
Ff = μmg cosα - but the road is horizontal so α is 0 and Ff = μmg
mv²/r = μmg
v²/r = μg => v = (μgr)^0.5 ≈ 21,7 (m/s)
Is this the correct assumption to be made? What exactly happens when the car starts sliding? Is that the same logic why water will stay in the bucket not fall out if you rotate the bucket quick enough?
This also made me think of the pilot training gadget - you know the centrifugal thing that creates overload. Does overload mean the centrifugal acceleration IS greater than the gravitational acceleration?
How would I determine the speed of the training device if I know the radius and that it would have to, say, create 5 times overload?
Does it mean that the person's weight is 5 times greater in relation to normal weight. eg. 5mg = m(g+a) ?
Last edited: