A jet of liquid of cross-sectional area a str | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The mass of liquid striking the wall per unit time is given by $\frac{dm}{dt} = A \cdot v \cdot \rho$,where $A$ is the cross-sectional area,$v$ is

Vedclass · Accepted Answer

$2av^2ho \sin 	heta$

Vedclass · Answer

(A) The mass of liquid striking the wall per unit time is given by $\frac{dm}{dt} = A \cdot v \cdot ho$,where $A$ is the cross-sectional area,$v$ is the velocity,and $ho$ is the density.Since the jet makes an angle $	heta$ with the wall,the component of velocity normal to the wall is $v_n = v \sin 	heta$.The liquid rebounds elastically,meaning the normal component of velocity changes from $v \sin 	heta$ to $-v \sin 	heta$.The change in momentum per unit time (force) exerted by the wall on the liquid is $F = \frac{dp}{dt} = \frac{dm}{dt} \cdot \Delta v_n$.$F = (avho) \cdot (v \sin 	heta - (-v \sin 	heta)) = (avho) \cdot (2v \sin 	heta) = 2av^2ho \sin 	heta$.By Newton's third law,the force exerted by the liquid on the wall is equal in magnitude,so the normal force is $2av^2ho \sin 	heta$.

$A$ jet of liquid of cross-sectional area $a$ strikes a wall making an angle $\theta$ with the wall. The liquid strikes the wall with velocity $v$ and rebounds elastically. If the density of the liquid is $\rho$,the normal force on the wall is:

Similar Questions

An object is fitted in a hole at the base of a container as shown in the figure. The force due to the liquid on the object is (Assume no leakage of water,the volume of the object inside the container is $V$,and the density of the liquid is $\rho$):

$A$ horizontal right-angle pipe bend has a cross-sectional area of $10 \ cm^2$ and water flows through it at a speed of $20 \ m/s$. The force on the pipe bend due to the turning of water is ........ $N$.

$A$ tube of length $L$ is filled completely with an incompressible liquid of mass $M$ and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity $\omega$. The force exerted by the liquid at the other end is

$A$ jet of water having velocity $v = 10 \ m/s$ and stream cross-section $A = 2 \ cm^2$ hits a flat plate perpendicularly,with the water splashing out parallel to the plate. The plate experiences a force of ....... $N$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module