Centripetal Acceleration lab graph

In summary, the conversation is discussing a lab where a string with a stopper and weights is spun at a constant angular velocity. The calculations involve graphing centripetal acceleration vs. angular velocity and using the equation F=ma, with the force being equal to weight. The question is whether or not centripetal acceleration is equal to acceleration due to gravity. The expert clarifies that centripetal acceleration is determined by velocity and radius, and has no relation to gravitational force.
  • #1
sarujin
14
0
I have a lab that needs a graph, and my calculations seem logical, but I need some affirmation. In this lab we spun a string with a stopper attached at one end and some weights at the other end. We had to keep a part of the string at the same point while spinning and therefore it moved at a constant angular velocity, right? ( http://www.richardson.k12.tx.us/schools/phs/staff/academ/klindsay/Web/lindsay/Pre-AP/MomRot/Lab%20Circ%20Mot.htm ) is the lab, if you need more explanation of the lab. In our calculations we have to graph Centripetal Acceleration vs. omega, the angular velocity. Using the equation F = ma... the force is weight (pulling on the stopper spinning), which is mg. Then mg = ma, then g = a.

In other words, if something is going at a constant velocity around your head in a circle and not falling, centripetal acceleration equals acceleration due to gravity?

Thanks!
 
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  • #2
If centripetal acceleration equals acceleration due to gravity, then it would stay where it was, in a circle (because its centripetal acceleration)?
 
  • #3
Originally posted by sarujin
In other words, if something is going at a constant velocity around your head in a circle and not falling, centripetal acceleration equals acceleration due to gravity?

a = v^2/r

centripital acceleration has absolutely nothing to do with gravitational force.
 

1. What is centripetal acceleration?

Centripetal acceleration is the acceleration that an object experiences when it is moving in a circular path. It is always directed towards the center of the circle and is caused by a force called centripetal force.

2. How is centripetal acceleration calculated?

Centripetal acceleration can be calculated using the formula a = v^2/r, where a is the centripetal acceleration, v is the velocity of the object, and r is the radius of the circular path.

3. What is the purpose of a centripetal acceleration lab?

The purpose of a centripetal acceleration lab is to demonstrate the relationship between centripetal acceleration, velocity, and radius, and to provide a hands-on way for students to understand and apply the concept of centripetal acceleration.

4. How is centripetal acceleration measured in a lab?

In a lab, centripetal acceleration can be measured using a device called a centripetal force apparatus, which consists of a rotating arm, a weight hanger, and a timer. The acceleration can be calculated by measuring the radius and the velocity of the rotating arm and using the formula a = v^2/r.

5. What does the graph in a centripetal acceleration lab represent?

The graph in a centripetal acceleration lab represents the relationship between centripetal acceleration and the radius of the circular path. It should show a directly proportional relationship, with the acceleration increasing as the radius decreases.

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