Explain why the water remains in the bucket instead of getting the teacher wet.?
A teacher fills a bucket half-way with water and attaches a thin rope to the bucket’s handle. The teacher swings the bucket in a circle above his head.
- 2 months ago
If anything has a force acting on it towards the center of a circular path equal to F, and it has a perpendicular constant velocity to that force in the plane of the circle equal to √(F•r/m) where r is the radius of the circular path and m is the mass of that thing, then it will move with a circular motion. Any speed less than that and the water will fall out the bucket.
- oubaasLv 72 months ago
Centrifugal force CF = m*g*V^2/r ...or m*g*ω^2*r
- D gLv 72 months ago
swinging the bucket gives the water velocity and the direction change caused by the rope pulling the bucket down give the water acceleration the gravity is also pulling down but the bucket is being pulled back by the rope but the water inside the bucket keepts trying to move striaight and that is why the water stays in .. you can see if the teacher holds the bucket over his head the water drops on him if the bucket is open downward because there is no motion of the water moviing up..
- JimLv 72 months ago
It's called acceleration.
Gravity is one type of acceleration, but this can be overcome by centripetal movement.
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- PhilomelLv 72 months ago
Really hard water !
- ignoramusLv 72 months ago
The question is very badly worded. It is highly ambiguous. When it says "swings the bucket in a circle above his head", does that mean that the circle is in a vertical plane, with the bucket actually upside down at the top of the circle, as the other two respondents seem to assume ?
OR does it mean that the bucket is being swung in a HORIZONTAL circle around the teacher's head? I lean towards this interpretation. But the answer is basically the same - CENTRIPETAL force to keep the bucket plus contents moving in a circle, instead of flying off at a tangent.
Motion in a circle requires a force towards the centre to keep the object, or whatever, constrained to move in the circle. This produces the apparent outward force (or centrifugal force in common parlance) which is how artificial gravity is produced, as in a rotating spacecraft - or in a spin dryer. It is the artificial gravity force which keeps the water in the bucket.
- ?Lv 72 months ago
I disagree with the wording of the other two answers. At the top the water is falling. But the bucket is being pulled down by the rope. As long as the bucket is accelerating at a greater rate than the water there is no relative downwards motion. If you permit the rope to go slack the results can be different and interesting. The bucket and water execute a parabolic (horizontal) motion drenching my students instead.
- Mr. SmartypantsLv 72 months ago
If the bucket is swinging fast enough, the water stays in the bucket through centrifugal force. Which is also what keeps the bucket at the end of the rope, rather than falling when it goes upside-down.
Centrifugal force is related to inertia. The water and the bucket are moving and want to keep moving in a straight line. This is an example of Newton's first law, that an object in motion tends to stay in motion unless acted on by an external force. In this case the external force is the rope. If the rope broke, the bucket full of water would want to fly off in a straight line, in whichever direction they were going at that instant.
- BarryLv 62 months ago
Centrifugal force keeps the water in the bucket. He gets wet when he gets tired.