Circular Motion of Newton's Laws

In summary, the Earth rotates with a period of 24.0 hours and if its speed is increased, an object at the equator will have zero apparent weight when the normal force exerted on it is zero. To find the new period, we can use the formula T= 2(pie)sqrt(R/g). The question does not specify the radius, but it can be found using general knowledge. For part (b), it is asking for the factor by which the speed of the object would be increased when the planet is rotating at the higher speed.
  • #1
eunhye732
11
0
The Earth rotates about its axis with a period of 24.0 h. Imagine that the rotational speed can be increased. If an object at the equator is to have zero apparent weight,
(a) what must the new period be?
(b) by what factor would the speed of the object be increased when the planet is rotating at the higher speed? Note that the apparent weight of the object becomes zero when the normal force exerted on it is zero.

For part (a), I know that T= 2(pie)sqrt(R/g)
I was wondering how you find R.
And I don't understand what (b) is asking for.

Thanks!
ps: if this question has already been asked, I'm sorry! :rolleyes:
 
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  • #2
eunhye732 said:
I was wondering how you find R.

What circle does the object describe in 24 hrs ? What's its radius ?
(ok, correct, the data are NOT in the problem description ; they must be considered general culture :-)
 
  • #3
well, my teacher told me that it's suposed to be a numberical answer. Thanks anyways
 

FAQ: Circular Motion of Newton's Laws

What is circular motion?

Circular motion is the movement of an object along a circular path. This motion is characterized by a constant speed and a change in direction, which results in a continuous outward force known as centripetal force.

What are Newton's Laws of Motion?

Newton's Laws of Motion are three fundamental principles that describe the behavior of objects in motion. The first law, also known as the law of inertia, states that an object will remain at rest or in motion at a constant velocity unless acted upon by an external force. The second law relates the acceleration of an object to the applied force and its mass. The third law states that for every action, there is an equal and opposite reaction.

How do Newton's Laws apply to circular motion?

Newton's Laws are applicable to circular motion as they describe the forces involved in maintaining an object's circular path. The first law explains the tendency of an object to continue in its circular motion unless acted upon by an external force. The second law relates the centripetal force to the object's mass and the speed of its motion. The third law explains the reaction force that occurs when an object exerts a centripetal force on another object.

What is centripetal force?

Centripetal force is the inward force that keeps an object moving along a circular path. It is always directed towards the center of the circle and is responsible for continuously changing the direction of an object's motion. Centripetal force is essential in circular motion as it counteracts the object's tendency to move in a straight line.

What factors affect circular motion?

The factors that affect circular motion include the object's mass, speed, and the radius of the circular path. The greater the mass of the object, the more force is needed to keep it moving in a circular path. The speed of the object also affects the amount of centripetal force required, with higher speeds requiring greater force. The radius of the circular path also plays a role, as a smaller radius requires a greater centripetal force to maintain the object's motion.

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