Max. Speed in Uniform Circular Motion Over Humpback Bridge: 45m Radius

AI Thread Summary
To determine the maximum speed of a car traveling over a humpback bridge with a radius of curvature of 45m, it is essential to analyze the forces acting on the car. The centripetal acceleration can be calculated using the formula F = mv²/r, where m is the mass of the car, v is the velocity, and r is the radius. The gravitational acceleration is given as g = 10 m/s², which plays a crucial role in maintaining contact between the car's wheels and the bridge. A free body diagram is recommended for visualizing the forces involved. Understanding these principles allows for the calculation of the maximum speed while ensuring the car remains in contact with the bridge.
Neil
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A question on circular motion i wasn't able to figure without knowing the mass of the body. Can anybody post the ans + procedure. Thanx

A car travels over a humpback bridge of radius of curvature 45m. Calculate the max. speed of the car if it's road wheels are to stay in contact with the bridge. Assume g=10ms-2
 
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What is the centripetal acceleration? :-)
 
Welcome Neil !
As you can see :
Neil said:
Can anybody post the ans
No. :mad:

Neil said:
...+ procedure.
It will be possible to provide you hints about that :approve:
 
You must assume that the car reached its maximum speed, therefore this speed being constant. Then use Tide's hint and the value given for g.
 
here is a hint, and its a BIG one, draw a free body diagram, and use this formula F = \frac{mv^2}{r}
 
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