Question

What centripetal force is required to cause a 12.0 kg object to complete seven revolutions
around a horizontal circle of radius 7.50 m in 24.0 s?

Answer 1

To calculate centripetal force, we can use the equation:
\[Centripetal Force = \frac{ Mass * Velocity ^{2} }{ Radius }\]
We are given the mass, and radius by the equation.
We are also told that the object must complete "seven revolutions" around the circle in 24 seconds, which will allow us to calculate the velocity of the object. The distance covered in 24 seconds is 7 times the circumference of the circle. You can use this to calculate the velocity of the circle.
Then, you can use the mass (kg), velocity (m/s), and radius (m) to calculate centripetal force.

Answer 2

Oh, ok thank you! I was confused because of the seven revolutions.

Answer 3

No problem! I think the piece of information about the revolutions is related to the velocity of the object, which should allow you to calculate velocity.

My only reservation is that I'm not sure whether the circular distance traveled can be used to calculate velocity as a tangent to the circle... Maybe they are the same or maybe you have to use one to calculate the other, but I'm not familiar enough with centripetal force to say for certain.

Answer 4

That's ok, thank you.