Question

You swing a bucket of water in a vertical circle of radius 1.9 m.

What speed must the bucket have if it is to complete the circle without any water spilling?

Answer 1

$\huge\mathbb{\orange{QUESTION-}}$

You swing a bucket of water in a vertical circle of radius 1.9 m. What speed must the bucket have if it is to complete the circle without any water spilling?

$\huge\mathbb{\orange{SOLUTION-}}$

$\large\underline{\underline{\sf Given:}}$

• Radius of circle (r) = 1.9m

$\large\underline{\underline{\sf To\:Find:}}$

• Speed must the bucket have if it is to complete the circle without any water spilling (v).

$\large\underline{\underline{\sf Formula\:Used:}}$

$\large{\boxed{\sf Centripetal\: Acceleration (a_c)=\dfrac{v^2}{r}}}$

Minimum centripetal acceleration is g = 9.8m/s²

$\implies{\sf v^2=1.9×9.8 }$

$\implies{\sf v^2=18.62 }$

$\implies{\sf v=\sqrt{18.62} }$

$\implies{\bf \red{ v=4.31\:m/s} }$

$\huge\mathbb{\orange{ANSWER-}}$

Speed must the bucket have if it is to complete the circle without any water spilling is ${\bf \red{4.31\:m/s}}$

Answer 2

$\huge{\bold{\red{\star{\pink{Heya!}}}}}$

Speed must the bucket have if it is to complete the circle without any water spilling is 4.31 m/s