What maximum power must the motor provide?

In summary, the loaded ore car with a mass of 950 kg is pulled up a mine shaft at an angle of 30.0° by a cable connected to a winch. The car accelerates uniformly to a speed of 2.20 m/s in 12.0 s and continues at constant speed. The power required for the winch motor to maintain this constant speed is 10.2 kW, with a maximum power of 10.6 kW. The total energy transferred out of the motor by work by the time the car reaches the end of the 1,250 m track is 5.82 MJ. In order to calculate the power, the force exerted by the cable must be determined using the equation
  • #1
stupif
99
1
1. A loaded ore car has a mass of 950 kg and rolls on rails with negligible friction. It starts from rest
and is pulled up a mine shaft by a cable connected to a winch. The shaft is inclined at 30.0°
above the horizontal. The car accelerates uniformly to a speed of 2.20 m/s in 12.0 s and then
continues at constant speed. (a) What power must the winch motor provide when the car is
moving at constant speed? (b) What maximum power must the motor provide? (c) What total
energy transfers out of the motor by work by the time the car moves off the end of the track,
which is of length 1 250 m?
( Ans : (a) 10.2 kW (b) 10.6 kW (c) 5.82 MJ )

2，power = (mass x acceleration x distance)/ time
= (950kg x (2.2/12=0.183m/s^2) x distance )/ 12s

how to find the distance??



The Attempt at a Solution

 
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  • #2


I'm not sure which part you are attempting to solve. Starting with part a, what's the force exerted by the cable? What power must it exert?
 
  • #3


i am finding this answer (a) What power must the winch motor provide when the car is
moving at constant speed?
 
  • #4


So answer my question: What force is exerted by the cable? And how does force relate to power?
 
  • #5


pulling force...power = workdone / time, workdone = force x distance
 
  • #6


stupif said:
pulling force...power = workdone / time, workdone = force x distance
OK, so what's the pulling force?
 
  • #7


dont know
 
  • #8


stupif said:
dont know
You'll have to figure it out. Hint: constant speed.
 

1. What is the maximum power that the motor must provide?

The maximum power that the motor must provide is the amount of energy it is required to deliver in a given amount of time. It is measured in watts (W) or horsepower (hp) and is an important factor in determining the efficiency and capacity of a motor.

2. How is the maximum power of a motor determined?

The maximum power of a motor is determined by several factors, including the type and size of the motor, the load it will be driving, and the desired speed and torque. It can also be calculated by multiplying the motor's voltage and current ratings.

3. Why is the maximum power of a motor important?

The maximum power of a motor is important because it determines the motor's ability to perform its intended function. It also affects the motor's efficiency, heat generation, and overall lifespan. Choosing a motor with the correct maximum power is crucial for optimal performance and longevity.

4. How does the maximum power of a motor affect its efficiency?

The maximum power of a motor is directly related to its efficiency. Motors that are operating at or near their maximum power will generate more heat and require more energy, resulting in lower efficiency. On the other hand, choosing a motor with a maximum power that exceeds the necessary requirements may lead to higher costs and unnecessary energy consumption.

5. Can the maximum power of a motor be increased?

In most cases, the maximum power of a motor is determined by its design and cannot be increased. However, some motors may have adjustable settings that allow for a slight increase in maximum power. It is important to consult the manufacturer's specifications and guidelines before attempting to modify a motor's maximum power.

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