Question

5.57 • Stay Dry! You tie a cord to a pail of water and swing the pail in a vertical circle of radius 0.600 m. What minimum speed must you give the pail at the highest point of the circle to avoid spilling water?

Answer 1

Answer:

The minimum speed of pail is 2.42 m/s.

Explanation:

Given that,

Radius = 0.600 m

We need to calculate the minimum speed of pail

Using centripetal force

$F=\dfrac{mv^2}{r}$

$mg=\dfrac{mv^2}{r}$

$v=\sqrt{gr}$

Where, v = speed

r = radius

g = acceleration due to gravity

Put the value into the formula

$v =\sqrt{0.600\times9.8}$

$v=2.42\ m/s$

Hence, The minimum speed of pail is 2.42 m/s.