Calculating Power Requirements for an Escalator

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In summary, the conversation discusses a problem involving 20 people with a total mass of 1200kg being lifted up an incline. The solution involves calculating the weight, force, work, and power using various equations. Another approach using conservation of energy is also mentioned as a more efficient solution.
  • #1
Le_Anthony
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Homework Statement


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Homework Equations


W=Fx*d
P=W/Δt

The Attempt at a Solution


Shot in the dark but, 20 people with 60 kg mass=1200kg total mass. Weight=1200kg*9.8m/s^2=11760N. Force component along the incline is 11760N*sin(30)=5880N. Work=5880N* 10m=58800J.(The 10m was found from trig function of the angle 30). Power=58800J/60sec=980W.

Answer is 980 watts?
 
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  • #2
Hi Le_Anthony. You're solution looks fine.

You could also have gone with a conservation of energy approach, finding the change in gravitational potential energy for the 20 people being raised 5 m, thus skipping the force calculations.
 
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gneill said:
Hi Le_Anthony. You're solution looks fine.

You could also have gone with a conservation of energy approach, finding the change in gravitational potential energy for the 20 people being raised 5 m, thus skipping the force calculations.

Ahhhh i see. That saves a lot of time actually. I will do that on my test this friday. Thanks!
 

1. How is the power required by an escalator calculated?

The power required by an escalator is calculated by multiplying the force needed to move the escalator with the speed at which it moves. This can be represented by the equation: Power = Force x Speed.

2. What factors affect the power required by an escalator?

The power required by an escalator is affected by several factors including the weight of the passengers, the speed at which the escalator is moving, the angle of inclination, and the friction between the moving parts.

3. What is the average power required by an escalator?

The average power required by an escalator varies depending on the size, speed, and usage of the escalator. Generally, an escalator can require anywhere between 10 to 50 kilowatts of power.

4. How does the power required by an escalator affect its energy consumption?

The power required by an escalator directly affects its energy consumption. The higher the power required, the more energy is needed to operate the escalator. This is why it is important to optimize the power required by an escalator to reduce energy consumption and costs.

5. Can the power required by an escalator be reduced?

Yes, the power required by an escalator can be reduced through various methods such as using energy-efficient motors, adjusting the speed and inclination, and reducing the weight of the escalator. Regular maintenance and proper usage can also help reduce the power required by an escalator.

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