Question

An electric pump rated at 1000W, takes 16 seconds to pump 100 kg of water out to a tank at a height of 10 m. what is the efficiency of the motor?​

Answer 1

`\boxed{\sf Efficiency \ of \ the \ motor = 62.5 \ \%}`

Given:

Input Power (
`\sf P_i`)= 1000 W

Mass (m) = 100 kg

Height (h) = 10 m

Time (t) = 16 s

To Find:

Efficiency of the motor

Step-by-step explanation:

`\sf \implies P_o = (100 * 10 * 10)/(16)`

`\sf \implies P_o = (10000)/(16)`

`\sf \implies P_o = \frac{ \cancel{16} * 625}{ \cancel{16}}`

`\sf \implies P_o = 625 \: W`

`\sf \implies Efficiency = \frac{625}{10 \cancel{00}} * \cancel{100}`

`\sf \implies Efficiency = (625)/(10)`

`\sf \implies Efficiency = 62.5 \: \%`

`\therefore`

Efficiency of the motor = 62.5 %