contestada

I spin a bucket of water over my head. The rope is length r, the tension on the rope is T, and the speed of the bucket is v. Which of the following gives the minimum (that is, least restrictive) condition ensuring that the water does not fall out of the bucket when it is straight over my head?

Respuesta :

onyebuchinnaji

The minimum condition ensuring that the water does not fall out of the bucket is centripetal force of the bucket must be equal to sum of tension on the rope and weight of the bucket [tex]( \frac{mv^2}{r} = T + mg )[/tex].

Tension on top of a vertical circle

The tension on top of a vertical circle is given as follows;

[tex]T = F_c - W\\\\T = \frac{mv^2}{r} - mg[/tex]

[tex]T + mg = \frac{mv^2}{r}[/tex]

where;

  • m is the mass of the bucket
  • T is the tension on the rope
  • r is the length of the rope forming radius of circular path
  • v is the speed of the bucket
  • g is acceleration due to gravity

Thus, the minimum condition ensuring that the water does not fall out of the bucket is centripetal force of the bucket must be equal to sum of tension on the rope and weight of the bucket.

Learn more about tension on vertical circle here: https://brainly.com/question/19904705

Otras preguntas