3 part question about angular/tangential acceleration

In summary, the conversation is about a homework assignment due at midnight ET that involves finding the acceleration of a child sitting on a merry-go-round, the horizontal force of friction on the child, and the minimum coefficient of static friction needed to prevent slipping. The relevant formulas have not been taught by the teacher. The plan for arriving at a solution is not mentioned.
  • #1
mutecity44
1
0

Homework Statement



Hi all,
Assignment due at midnight ET, these are the last questions I'm missing
1. A merry-go-round makes one complete revolution in 15.7 s. A 53.1 kg child sits on the horizontal floor of the merry-go-round 4.3 m from the center. Find the child’s acceleration. The acceleration of gravity is 9.8 m/s^2 . Answer in units of m/s^2 .
2. Find the horizontal force of friction that acts on the child. Answer in units of N.
3. What minimum coefficient of static friction is necessary to keep the child from slipping?

Homework Equations

The Attempt at a Solution


Teacher did not attempt to teach us any relevant formulas for this unit. It's pretty sad.
 
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  • #2
mutecity44 said:

Homework Statement



Hi all,
Assignment due at midnight ET, these are the last questions I'm missing
1. A merry-go-round makes one complete revolution in 15.7 s. A 53.1 kg child sits on the horizontal floor of the merry-go-round 4.3 m from the center. Find the child’s acceleration. The acceleration of gravity is 9.8 m/s^2 . Answer in units of m/s^2 .
2. Find the horizontal force of friction that acts on the child. Answer in units of N.
3. What minimum coefficient of static friction is necessary to keep the child from slipping?

Homework Equations



The Attempt at a Solution


Teacher did not attempt to teach us any relevant formulas for this unit. It's pretty sad.
Hello mutecity44. Welcome to PF.

What's your plan for arriving at a solution?
 
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Likes Potatochip911

Related to 3 part question about angular/tangential acceleration

What is angular acceleration?

Angular acceleration is a measure of how quickly an object's angular velocity changes over time. It is the rate of change of angular velocity with respect to time.

What is tangential acceleration?

Tangential acceleration is the component of an object's acceleration that is tangent to its circular path. It is the rate of change of an object's tangential velocity with respect to time.

How are angular and tangential acceleration related?

Angular and tangential acceleration are related through a mathematical formula: α = r × a, where α is the angular acceleration, r is the radius of the circular path, and a is the tangential acceleration. This relationship shows that an object's angular acceleration is directly proportional to its tangential acceleration and the radius of its circular path.

What causes angular and tangential acceleration?

Angular and tangential acceleration are caused by a net force acting on an object that is moving in a circular path. This force, called centripetal force, is directed towards the center of the circular path and causes the object to accelerate both tangentially and angularly.

How are angular and tangential acceleration measured?

Angular acceleration is typically measured in units of radians per second squared (rad/s²), while tangential acceleration is measured in units of meters per second squared (m/s²). These measurements can be obtained through experiments or calculated using the appropriate formulas.

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