A `30m` deep well is having water upto `15 m`. An engine evacutes it in one hour . The power of the engine. If the diameter of the well is `4m` is

Options

A. `11.55 kW`
B. `1155 kW`
C. `25.10 kW`
D. `2310 kW`

Answer

A

Explanation

Mass of water, `m` volume xx density `= pi r^(2)l xx rho`
`= pi (2)^(2) xx 15 xx 1000 kg`
`h = (30 + 15)/(2) = 22.5m`
`p = (W)/(t) = (mgh)/(t) = (pi(2)^(2) xx 15 xx 1000 xx 9.8 xx 22.5)/(3600)`
`= 11.55 k W`