Home
Class 11
PHYSICS
A bucket containing 4 kg of water , is t...

A bucket containing 4 kg of water , is tied to a rope of length 2.5 m and rotated in a vertical circle in such a way that the water in upside down position What is the speed of the bucket at (a) highest point and (b) lowest point of its circular path ? Take ` g= 10 m//s ` .

Text Solution

Verified by Experts

Here , ` m = 4 kg , l= r = 2.5 m `
In the upside down position water does not spill Therefore
` upsilon_(H) = sqrt(gr ) = sqrt( 10 xx 2.5) = 5 ms^(-1) `
Also ` upsilon_(L) = sqrt(5 gr ) = sqrt(5 xx 10 xx 2.5 ) = 11.2 ms^(-1) ` .
Promotional Banner

Similar Questions

Explore conceptually related problems

A bucket of water tied to one end of a rope of length 3 m is rotated in a vertical circle about the other end in such a way that water in it dows not spill . Calculate the minimum velocity of the bucket at which this happens .

A bucket full of water is rotated in a vertical circle of radius R. If the water does not split out, the speed of the bucket at topmost point will be

A bucket containing water is tied to one end of a rope of length 2.5 m and rotated about the other end in a vertical circle so that water does not spill even when bucet is upside down . What is the maximum velocity of the bucket at which this happens ? How many rotations per minute is it making g = 10 m//s^(2) .

A bucket full of water is tied at the end of rope of length 1.6 m. It is rotated in vertical circle with constant speed around the other end . What should be the minimum speed of bucket so that water does not spill out at the highest position of the water circle?

A bucket containing water is tied to one end of a rope 5 m long and it is rotated in a vertical circle about the other end. Find the number of rotations per minute in order that the water in the bucket may not spill. ( Ans: n=13.37 rpm)

A particle of mass 100 g is moving in a vertical circle of radius 2 m The particle is just looping the loop . What is the speed of the particle and tension in the string at the highest point of the circular path ? . (g =10 ms^(-2)) .

A particle of mass m is fixed to me one end of a light right rod of length l and rotated in a vertical circular path about its other end. The minmum speed of the particle at its highest point must be

A stone of mass 100 g attached to a string of length 50 cm is whirled in a vertical circle by giving it a velocity of 7 m/s at the lowest point. Find the velocity at the highest point .

A stone of 1 kg tied up with 10/3 m long string rotated in a vertical circle. If the ratio of maximum and minimum tension in string is 4 then speed of stone at highest point of circular path will be ( g = 10 ms^2)