Question

Pail of WaterSuppose you wish to whirl a pail full of water in a vertical circle at a constant speed without spilling any of its contents (even at the top of the circle!). If your arm is 0.70 m long (from shoulder to fist) and the distance from the handle to the surface of the water is 15.0 cm, what minimum speed is required?

Answer 1

Answer:

Velocity will be 2.886 m/sec  

Explanation:

We have given arm length = 0.70 m

And distance from the handle to surface = 15 cm =0.15 m

So total distance r = 0.70+0.15 = 0.85

We know that acceleration is given by $a=\frac{v^2}{r}$

Here acceleration is acceleration due to gravity so a=g

So $g=\frac{v^2}{r}$

$v=\sqrt{rg}=\sqrt{0.85\times 9.8}=2.886m/sec$

So velocity will be 2.886 m/sec