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An electric motor creates a tension of 4500 N in a hoisting cable and reels it in at the rate of 2 m/s. What is the power of the electric motor?

  • a)
    225W

  • b)
    15kW

  • c)
    9kW

  • d)
    900 W

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
An electric motor creates a tension of 4500 N in a hoisting cable and ...
F=4500N

v=2ms−1

The power of motor is given by

P=F.v

P=4500×2

P=9000W=9kW
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Most Upvoted Answer
An electric motor creates a tension of 4500 N in a hoisting cable and ...
Power=force x velocity
Power = 4500 x 2 = 9000 w
= 9 kw. Tension is also a force.
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Community Answer
An electric motor creates a tension of 4500 N in a hoisting cable and ...
To find the power of the electric motor, we can use the formula:

Power = Tension * Velocity

where Power is measured in watts (W), Tension is measured in newtons (N), and Velocity is measured in meters per second (m/s).

Given:
Tension = 4500 N
Velocity = 2 m/s

Substituting these values into the formula, we get:

Power = 4500 N * 2 m/s

Simplifying the equation, we have:

Power = 9000 N·m/s

Since 1 watt is equal to 1 N·m/s, we can convert the power to kilowatts (kW) by dividing it by 1000:

Power = 9000 N·m/s / 1000 = 9 kW

Therefore, the power of the electric motor is 9 kW.
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