Calculating Revolutions in Non-Uniform Circular Motion

In summary, non-uniform circular motion is a type of motion where an object moves in a circular path at varying speeds. This is different from uniform circular motion, where the object moves at a constant speed along the path. Non-uniform circular motion is caused by a combination of centripetal and tangential forces, and it is related to acceleration since the object's velocity is constantly changing. Real-world examples of non-uniform circular motion include a car driving on a curved road, a satellite orbiting the Earth, and a ball being thrown in a curved path.
  • #1
darko21
6
0

Homework Statement


A car starts from rest on a curve with a radius of 190 m and accelerates at 1.20 m/s^2 . How many revolutions will the car have gone through when the magnitude of its total acceleration is 3.10 m/s^2 ?

Homework Equations


A^2=At^2 + Ac^2
Ac=v^2/r
x=(1/2)at^2
Vf=at

The Attempt at a Solution


3.1^2=1.2^2+Ac^2
Ac=2.85

2.85=v^2/190
v=23.304

23.304=1.2t
t=19.42

x=(1/2)(1.2)(19.42)^2
x=226 (wrong)
 
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  • #2
Did you forget to convert 226 m to the number of revolutions?
 
  • #3
LOL thanks!
 

1. What is non-uniform circular motion?

Non-uniform circular motion is a type of motion in which an object moves in a circular path at varying speeds. This means that the object's velocity, or speed and direction, changes as it moves along the circular path.

2. How is non-uniform circular motion different from uniform circular motion?

In uniform circular motion, the object moves at a constant speed along a circular path. In non-uniform circular motion, the object's speed changes as it moves along the circular path, meaning that its velocity is not constant.

3. What causes non-uniform circular motion?

Non-uniform circular motion is typically caused by a combination of centripetal force, which pulls the object towards the center of the circular path, and tangential force, which causes the object to speed up or slow down along the path.

4. How is non-uniform circular motion related to acceleration?

Since the object's velocity is constantly changing in non-uniform circular motion, it is also experiencing acceleration. This acceleration is caused by the changing direction of the object's velocity, as it moves along the circular path.

5. What are some real-world examples of non-uniform circular motion?

Examples of non-uniform circular motion in everyday life include a car driving around a curved road, a satellite orbiting around the Earth, or a ball being thrown in a curved path. In all of these cases, the object's speed and direction change as it moves along a circular path.

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