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:
- [tex]\boxed{\bold{W=\frac{F}{d}}}[/tex]
Replace and solve
- [tex]\boxed{\bold{W=\frac{15000\ N}{40\ m}}}[/tex]
- [tex]\boxed{\bold{W=600000\ J}}[/tex]
once the work is found, we proceed to find the power according to the formula:
- [tex]\boxed{\bold{P=\frac{W}{t}}}[/tex]
- [tex]\boxed{\bold{P=\frac{600000\ J}{50\ s}}}[/tex]
- [tex]\boxed{\boxed{\bold{P=12000\ W}}}[/tex]
The power of the crane is 12000 Watts.
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