What is the centripetal acceleration and force on a rotating bolt?

In summary, the conversation discusses solving for the velocity and acceleration of a rotating bolt using basic circle formulas and the equations F=ma and v=d/t. The final solution involves finding the rotational speed in rotations per second, multiplying it by the circumference of the bolt to find the velocity, and then using the centripetal acceleration formula to solve for acceleration. The person also mentions a mistake they made in their calculations and the importance of being organized when working on physics problems.
  • #1
Jrlinton
134
1

Homework Statement



https://www.physicsforums.com/attachments/bolt-png.106701/ [Broken]

Homework Equations


F=ma
v=d/t
centripetal accel=v^2/r
basic circle formulas

The Attempt at a Solution


Firstly to figure the rot/sec of the rod
2040/8= 255 rotations per second
Then multiplying the 255 rotations by the circumference of the bolt to find the velocity
2pi(.036m)= .226 m
.226*255=57.63 m/s
Using the centripetal acceleration formula to find acceleration
57.63^2/.226= 14695.65 m/s/s
Using F=ma
F=.032kg(14695.65 m/s/s)
F=470.26 N
 
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  • #2
Yeah I divided by the circumference instead of the radius in the acceleration formula. I guess I need to be more organized in my work.
57.68^2/.036=92416.18
F=92416.18(.032)=2957.32
 

1. What is the difference between force and centripetal force?

Force is a push or pull that causes an object to accelerate, while centripetal force is a specific type of force that acts towards the center of a curved path, keeping an object moving along that path.

2. How is centripetal force related to centripetal acceleration?

The centripetal force is directly proportional to the centripetal acceleration, meaning that as the force increases, so does the acceleration. This relationship is described by the equation F = ma, where F is the force, m is the mass of the object, and a is the centripetal acceleration.

3. What is the role of centripetal force in circular motion?

Centripetal force is essential in circular motion as it is responsible for keeping an object moving along a curved path and preventing it from flying off in a straight line. Without this force, objects would continue moving in a straight line, and circular motion would not be possible.

4. How does centripetal force affect the speed of an object in circular motion?

Centripetal force does not directly affect the speed of an object in circular motion. Instead, it influences the direction of the object's velocity, constantly changing its direction towards the center of the circle. This change in direction results in a continuous change in velocity, creating uniform circular motion.

5. Can an object in circular motion have a constant speed and changing velocity?

Yes, an object in circular motion can have a constant speed and changing velocity. This is because the speed of an object in circular motion is determined by its distance from the center of the circle and the time it takes to complete one full revolution. However, the velocity of the object is constantly changing as it continuously changes direction due to the centripetal force.

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