Question

water jet that leaves a nozzle at 60 m/s and flow rate of 120 kg/s is to be used to generate power by striking the bucket located on the perimeter of a wheel. Determine the power generation potential of this water jet.

Answer 1

★★Question:-

✓✓water jet that leaves a nozzle at 60 m/s and flow rate of 120 kg/s is to be used to generate power by striking the bucket located on the perimeter of a wheel. Determine the power generation potential of this water jet.

★★Given:-

• Velocity of the water jet $(v)=60m/s$

• Mass flow rate of the water$(m)=120kg/s$

★★concept:-

• The kinetic energy is a form of energy that is associated with the velocity of an object.

• The water jet that leaves the nozzle has high velocity and it possesses only kinetic energy and no other form energy like potential energy due to the available head of the water.

• This kinetic energy is used to generate power by striking the buckets located on the perimeter of a wheel.

★★Explanation:-

The power generation potential of the water jet:-

$\boxed{\boxed{{P=\frac{1}{2}m{V}^{2}}}}$

According to question,

$P=\frac{1}{2}m{V}^{2}$

$P=\frac{1}{2}×(120kg/s)×{(60m/s)}^{2}$

$P=216000W$

$\boxed{\boxed{{Power=216kW}}}$✓✓