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

In summary, the conversation involves calculating the maximum speed of a car traveling over a humpback bridge without knowing the mass of the car. A hint is given to use a formula involving centripetal force and radius of curvature, and to draw a free body diagram.
  • #1
Neil
1
0
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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  • #2
What is the centripetal acceleration? :-)
 
  • #3
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:
 
  • #4
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.
 
  • #5
here is a hint, and its a BIG one, draw a free body diagram, and use this formula [tex] F = \frac{mv^2}{r} [/tex]
 

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

What is uniform circular motion?

Uniform circular motion is a type of motion in which an object moves along a circular path at a constant speed. This means that the object covers equal distances in equal time intervals, and its velocity is always tangent to the circle at any point.

What causes uniform circular motion?

In uniform circular motion, the object is constantly changing its direction, which means there must be a force acting on it. This force is known as centripetal force and it is directed towards the center of the circle, keeping the object in its circular path.

How is uniform circular motion different from linear motion?

In linear motion, an object moves in a straight line, while in uniform circular motion, the object moves along a circular path. In linear motion, the velocity of the object remains constant, while in uniform circular motion, the speed of the object remains constant, but the velocity changes as the direction changes.

What are some examples of uniform circular motion?

A common example of uniform circular motion is a car moving along a curved road at a constant speed. Other examples include a satellite orbiting around the Earth, a spinning top, or a merry-go-round.

How is uniform circular motion related to centripetal acceleration?

In uniform circular motion, the object is constantly changing its direction, which means it is constantly accelerating towards the center of the circle. This acceleration is known as centripetal acceleration and it is directed towards the center of the circle, just like the centripetal force.

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