Hey, guys. So now that you understand the basics of uniform circular motion and centripetal forces, occasionally, you're going to have problems where you have objects that are traveling not in a horizontal plane, but rather in a vertical plane. A classic example of this is a roller coaster that goes around in a loop de loop. What I'm going to show you in this video is that we're actually going to solve these problems the exact same way using the same exact equations. There's just a couple of things that are different. For example, we have some other forces to consider like
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Vertical Centripetal Forces: Study with Video Lessons, Practice Problems & Examples
In vertical circular motion, such as a roller coaster loop, the speed varies due to gravitational force (mg) affecting acceleration. Centripetal acceleration (ac) is calculated using the equation
Vertical Centripetal Forces
Video transcript
Suppose a 1,800-kg car passes over a bump in a roadway that follows the arc of a circle of radius 20m. What
force does the road exert on the car as the car moves over the top of the bump if the car moves at a constant 9 m/s?
Do you want more practice?
More setsHere’s what students ask on this topic:
What is centripetal acceleration in vertical circular motion?
Centripetal acceleration in vertical circular motion is the acceleration that keeps an object moving in a circular path. It is directed towards the center of the circle. The formula to calculate centripetal acceleration (
where
How do you calculate the normal force at the bottom of a vertical loop?
To calculate the normal force (
where
Why does speed vary in vertical circular motion?
In vertical circular motion, the speed varies due to the influence of gravitational force (
How do you calculate the normal force at the top of a vertical loop?
To calculate the normal force (
where
What are the key differences between horizontal and vertical circular motion?
The key differences between horizontal and vertical circular motion are:
- Gravitational Force: In vertical circular motion, gravity affects the speed and forces acting on the object, while in horizontal circular motion, gravity does not influence the centripetal force directly.
- Speed Variation: In vertical circular motion, the speed varies due to gravitational force, whereas in horizontal circular motion, the speed is typically constant.
- Force Calculations: In vertical circular motion, you need to account for gravitational force when calculating normal force and centripetal force, while in horizontal circular motion, calculations are simpler as gravity is perpendicular to the motion.
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