A crane raises a load of $4 t o n n e s$ through a vertical height of $10 m$ in $50 s$ . Calculate the power of the crane in $k W$ . [ Take $g = 9.8 m s^{- 2}$ ]

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Solution

Step 1: Given data
Power, $P = ?$ ( To be calculated)
Time taken, $t = 50 s$
Mass, $m = 4 t o n n e s = 4 \times 1000 k g = 4000 k g$ [ $∵ 1 t o n n e = 1000 k g$ ]
Acceleration due to gravity, $g = 9.8 m s^{- 2}$
Magnitude of height, $h = 10 m$
Step 2: Calculating the power of the crane
$P o w e r (P) = \frac{W o r k d o n e (W)}{T i m e t a k e n (t)} \Rightarrow P = \frac{m \times g \times h}{t} \Rightarrow P = \frac{4000 k g \times 9.8 m s^{- 2} \times 10 m}{50 s} \Rightarrow P = 7840 W = 7.84 k W$
Hence, the power of the crane in $k W$ is $7.84 k W$

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A crane raises a load of 4tonnesthrough a vertical height of 10m in 50s. Calculate the power of the crane in kW. [ Take g=9.8ms-2]

A crane raises a load of $4 t o n n e s$ through a vertical height of $10 m$ in $50 s$ . Calculate the power of the crane in $k W$ . [ Take $g = 9.8 m s^{- 2}$ ]