Question

A crane lifts a load of 15000N to a height 40m in 50 seconds. Calculate the power of the crane​

Answer 1

Answer:

P = 12000 W

Explanation:

General data:

• F = 15000 N
• d = 40 m
• t = 50 s
• P = ?

Work is force times unit of distance. So in order to calculate the power we must first calculate the work.

Formula:

• $\boxed{\bold{W=\frac{F}{d}}}$

Replace and solve

• $\boxed{\bold{W=\frac{15000\ N}{40\ m}}}$

• $\boxed{\bold{W=600000\ J}}$

once the work is found, we proceed to find the power according to the formula:

• $\boxed{\bold{P=\frac{W}{t}}}$

• $\boxed{\bold{P=\frac{600000\ J}{50\ s}}}$

• $\boxed{\boxed{\bold{P=12000\ W}}}$

The power of the crane is 12000 Watts.

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