Calculate the average power required by the electric motors

In summary, the conversation discusses three questions related to work and energy calculations. The first question involves finding the work done by a car traveling up a slope with a given mass and frictional resistance. The second question asks for the work done in overcoming friction along an inclined plane by a sliding body. The third question involves calculating the average power required by electric motors to transport a Swiss mountain railway car with a given mass from one point to another.
  • #1
shepwarp
7
0
I have three questions that I am pretty confused about:

1. A slope rises 15m veritcally for every 40m of its length (in horizontal direction). A car of mass 1.25t travels a distance of 150m up the slope at uniform speed. Find the work done if the frictional resistance is 40N.

2. A body of mass 0.3kg slides from rest down a plane inclined at 30 degrees to the horizontal. After sliding 30m down the plane it is found to have a speed of 10m/s. How much work has been done in overcoming friction along the plane?

3. A Swiss mountain railway car of the rack and pinion type leaves Zermatt (1608m above sea level) at 9:30am and completes the 9km journey to the Gurnergrat (3136m above sea level) at 10:15am. If the car and the passengers together have a mass of 45t, calculate the average power required by the electric motors (neglect friction).
 
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  • #2
Please show what you've tried.
 
  • #3
Never mind! I solved them. :smile:
 

1. How do you calculate the average power required by electric motors?

To calculate the average power required by electric motors, you need to know the motor's input power and its efficiency. You can then use the formula average power = input power x efficiency to calculate the average power required by the motor.

2. What is the difference between average power and maximum power for electric motors?

Average power refers to the average amount of power required by an electric motor to operate over a period of time. Maximum power, on the other hand, refers to the highest amount of power that an electric motor can produce at any given moment.

3. Why is it important to calculate the average power required by electric motors?

Calculating the average power required by electric motors is important because it helps in determining the energy consumption and operating costs of the motor. It also allows for proper sizing and selection of motors for specific applications, ensuring efficient and cost-effective operation.

4. What factors can affect the average power required by electric motors?

The average power required by electric motors can be affected by various factors such as the motor's load, speed, efficiency, and operating conditions. The type of motor and its design can also play a role in determining the average power required.

5. Can the average power required by electric motors change over time?

Yes, the average power required by electric motors can change over time. Factors such as wear and tear, changes in operating conditions, and variations in load can affect the average power required. Regular maintenance and monitoring can help ensure that the motor continues to operate at optimal levels.

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