A rubber pipe with a diameter of 10 cm is connected to a nozzle 2 cm in diameter. Water flowing through the pipe at a speed of 0.6 ms $^{- 1}$ comes out like a jet through the nozzle. The backward force of the nozzle is about:

Question

A rubber pipe with a diameter of 10 cm is connected to a nozzle 2 cm in diameter. Water flowing through the pipe at a speed of 0.6 ms

^{- 1}

comes out like a jet through the nozzle. The backward force of the nozzle is about:

Toppr Admin · Accepted Answer

Diameter D of pipe -10cmDiameter d of nozzle -2cmVelocity of water v-0-6m-sReaction force-v-xD7-dmdt-xA0- -xA0- -xA0-rate of mass flow-gt-F-0-6-xD7-10222-xD7-0-052-xD7-0-6-xD7-1000-xD7-227-67-9N

A rubber pipe with a diameter of 10 cm is connected to a nozzle 2 cm in diameter. Water flowing through the pipe at a speed of 0.6 ms $^{- 1}$ comes out like a jet through the nozzle. The backward force of the nozzle is about:
7.7 N
67.9 N
zero
2.8 N

Diameter $D$ of pipe $= 10$ cm
Diameter $d$ of nozzle $= 2$ cm
Velocity of water $v = 0.6 m / s$
Reaction force $= v \times \frac{d m}{d t}$ (rate of mass flow)
$=> F = 0.6 \times \frac{10^{2}}{2^{2}} \times {0.05}^{2} \times 0.6 \times 1000 \times \frac{22}{7} = 67.9 N$

A rubber pipe with a diameter of 10 cm is connected to a nozzle 2 cm in diameter. Water flowing through the pipe at a speed of 0.6 ms−1 comes out like a jet through the nozzle. The backward force of the nozzle is about:7.7 N67.9 Nzero2.8 N

Diameter D of pipe =10cmDiameter d of nozzle =2cmVelocity of water v=0.6m/sReaction force=v×dmdt (rate of mass flow)=>F=0.6×10222×0.052×0.6×1000×227=67.9N

A rubber pipe with a diameter of 10 cm is connected to a nozzle 2 cm in diameter. Water flowing through the pipe at a speed of 0.6 ms $^{- 1}$ comes out like a jet through the nozzle. The backward force of the nozzle is about:
7.7 N
67.9 N
zero
2.8 N

Diameter $D$ of pipe $= 10$ cm
Diameter $d$ of nozzle $= 2$ cm
Velocity of water $v = 0.6 m / s$
Reaction force $= v \times \frac{d m}{d t}$ (rate of mass flow)
$=> F = 0.6 \times \frac{10^{2}}{2^{2}} \times {0.05}^{2} \times 0.6 \times 1000 \times \frac{22}{7} = 67.9 N$