Calculate the power of an electric motor that | vedclass

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

Question

(A) Given: Mass $m = 800 \, kg$,height $h = 1500 \, cm = 15 \, m$,time $t = 20 \, s$,and acceleration due to gravity $g = 10 \, m s^{-2}$.The work don

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(A) Given: Mass $m = 800 \, kg$,height $h = 1500 \, cm = 15 \, m$,time $t = 20 \, s$,and acceleration due to gravity $g = 10 \, m s^{-2}$.The work done $W$ to lift the water is equal to the potential energy gained: $W = mgh$.Power $P$ is defined as the rate of doing work: $P = \frac{W}{t} = \frac{mgh}{t}$.Substituting the values: $P = \frac{800 	imes 10 	imes 15}{20}$.$P = \frac{120000}{20} = 6000 \, W$.Since $1 \, kW = 1000 \, W$,we have $P = 6 \, kW$.

Calculate the power of an electric motor that can lift $800 \, kg$ of water to store in a tank at a height of $1500 \, cm$ in $20 \, s$. $(g = 10 \, m s^{-2})$ (in $, kW$)

Similar Questions

Define average power.

What is power?

$A$ force of $10\, N$ moves a body with a constant speed of $2\, m s^{-1}$. Calculate the power of the body.

Calculate the electricity bill amount for the month of April if $4$ bulbs of $40 \, W$ for $5 \, hrs$, $4$ tube lights of $60 \, W$ for $5 \, hrs$, a $TV$ of $100 \, W$ for $6 \, hrs$, and a washing machine of $400 \, W$ for $3 \, hrs$ are used per day. The cost per unit is ₹ $1.80$.

$A$ man of mass $60 \, kg$ runs up a flight of $30$ steps in $40 \, s$. If each step is $20 \, cm$ high,calculate the power of the man.

Vedclass Test Series

Exam Paper Generator

Online Exam Module