Artificial Gravity: Washing Machine Drum (27 cm, 4.1 rev/s)

In summary, the question asks for the strength of artificial gravity on clothes in a washing machine with a radius of 27 cm and spinning at 4.1 rev/s. The formula used is Ar = v^2/r and the attempted solution involved converting units to m and m/s. However, the answer must be expressed as a multiple of g (9.8m/s^2). Further clarification or showing of work may be needed to find the correct solution.
  • #1
cstout
37
0

Homework Statement



If a washing machine's drum has a radius of 27 cm and spins at 4.1 rev/s, what is the strength of the artificial gravity to which the clothes are subjected? Express your answer as a multiple of g.

Homework Equations



Ar= v2/r

The Attempt at a Solution



I tried converting the radius to m and the rev/s to m/s but that didn't work, I'm not sure what else I could try to solve this problem.
 
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  • #2
cstout said:

Homework Statement



If a washing machine's drum has a radius of 27 cm and spins at 4.1 rev/s, what is the strength of the artificial gravity to which the clothes are subjected? Express your answer as a multiple of g.

Homework Equations



Ar= v2/r

The Attempt at a Solution



I tried converting the radius to m and the rev/s to m/s but that didn't work, I'm not sure what else I could try to solve this problem.
If you did it this way, that is the correct way to get the radial acceleration, but then you must express it as a multiple of g, where g=9.8m/s^2. Please show your work; you might have made a math error, or misunderstood the 'g' thing.
 
  • #3


I would first clarify the question by asking for more information. The term "artificial gravity" is not commonly used in scientific terminology, so I would ask for a definition or explanation of what is meant by it in this context. Additionally, I would ask for clarification on what is meant by "strength" of the artificial gravity. Is it referring to the magnitude of the force or the acceleration experienced by the clothes in the drum?

Assuming that the question is asking for the acceleration experienced by the clothes, I would use the formula Ar = v^2/r to calculate the centripetal acceleration. Using the given values, the acceleration would be 77.69 m/s^2. This can be converted to multiples of g by dividing by the acceleration due to gravity (9.8 m/s^2), giving a result of approximately 7.93 g.

However, this calculation assumes that the clothes are constantly in contact with the drum and experiencing the full centripetal force. In reality, the clothes would likely be moving around and not experiencing the full force at all times. Additionally, the force experienced by the clothes would also depend on their distance from the center of rotation. Without more information about the specific conditions and assumptions, it is difficult to accurately determine the "strength" of the artificial gravity in this scenario.
 

Related to Artificial Gravity: Washing Machine Drum (27 cm, 4.1 rev/s)

1. How does artificial gravity work in a washing machine drum?

Artificial gravity in a washing machine drum is achieved through centripetal force. As the drum rotates at a high speed, the clothes inside are pushed towards the outer edges of the drum, creating a centrifugal force that is equal and opposite to the centripetal force. This centrifugal force creates the sensation of gravity for the clothes, keeping them pressed against the walls of the drum and allowing for a thorough wash.

2. What is the size of the washing machine drum that can generate artificial gravity?

The size of the washing machine drum required to generate artificial gravity depends on the speed of rotation. In this case, with a speed of 4.1 revolutions per second, the drum size would need to be 27 cm in diameter. However, this can vary depending on the desired level of artificial gravity and the weight of the items inside the drum.

3. Is it safe to use artificial gravity in a washing machine?

Yes, it is safe to use artificial gravity in a washing machine as long as the machine is properly designed and maintained. The speed of rotation should be carefully controlled to ensure the clothes are not damaged and the machine does not vibrate excessively. It is important to follow all safety instructions provided by the manufacturer when using a washing machine with artificial gravity.

4. Can artificial gravity be used in other applications besides washing machines?

Yes, artificial gravity can be used in various applications such as space stations, centrifuges for astronaut training, and rotating habitats for long-term space travel. It can also be used in amusement park rides, simulators, and other scientific experiments to simulate the effects of gravity.

5. How does artificial gravity affect the washing machine's energy consumption?

Artificial gravity does not have a significant impact on a washing machine's energy consumption. The main factor that affects energy usage is the size of the load and the type of wash cycle selected. However, it is important to note that the higher the speed of rotation, the more energy will be required to maintain it. Therefore, careful consideration must be given to the design of the washing machine to balance energy efficiency and the desired level of artificial gravity.

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