Torque crank and bucket question

In summary, the problem at hand involves determining the minimum force needed to raise a 70 kg bucket of water attached to a rope wound around a 0.035 m radius cylinder and a crank with a turning radius of 0.35 m. This is an equilibrium problem where a torque must be applied in the opposite direction of the tension exerted by the bucket to balance it out. A diagram provided in a related problem (#24) can help visualize the situation.
  • #1
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Homework Statement



A bucket filled with water has a mass of 70 kg and is attached to a rope that is wound around a 0.035 m radius cylinder. A crank with a turning radius of 0.35 m is attached to the end of the cylinder. What minimum force directed perpendicularly to the crank handle is required to raise the bucket?

Homework Equations



obviously torque = F * r * sin

The Attempt at a Solution



my problem here is i cannot accurately understand the diagram (there is no picture that goes along with it). i cannot tell which r value to use. if someone could clarify that i would appreciate it.
 
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  • #2
This is really an equilibrium problem: the bucket (via the rope) exerts a tension on the cylinder tending to make it turn one way; you (via the crank handle) have to exert a torque in the opposite direction to balance it out.

I was able to dig up a diagram that will help you visualize what's going on. Go to http://www.physics.utah.edu/~woolf/2010_rich/rev4.pdf and look at the diagram that accompanies problem #24.
 
  • #3


As a scientist, it is important to have accurate and clear information in order to solve a problem. In this case, a picture or diagram would be helpful in understanding the problem and determining which radius value to use. Without this information, it is difficult to provide a precise answer. In general, torque is calculated by multiplying the force applied by the distance from the axis of rotation. However, the specific values used for the radius will depend on the orientation and setup of the system. It would be helpful to have more context or information to fully understand the problem and provide a solution.
 

Related to Torque crank and bucket question

1. What is torque?

Torque is a measure of rotational force, or the tendency of a force to rotate an object around an axis. It is commonly represented as the product of the force and the distance from the axis of rotation.

2. How does torque relate to the crank and bucket question?

In the crank and bucket question, torque is used to determine the force needed to lift a bucket of water using a crank. The torque applied to the crank is equal to the force applied to the crank multiplied by the length of the crank arm.

3. What is the principle behind the torque crank and bucket question?

The principle behind the torque crank and bucket question is based on the law of conservation of energy. This states that the total energy in a closed system remains constant, and can be converted from one form to another. In this case, the potential energy of the water in the bucket is converted into the kinetic energy of the rotating crank.

4. How does the length of the crank arm affect the torque in the crank and bucket question?

The longer the crank arm, the greater the torque that can be applied to the crank. This is because the longer the crank arm, the greater the distance between the axis of rotation and the point where the force is applied, resulting in a larger torque value.

5. What factors can affect the torque produced in the crank and bucket question?

The torque produced in the crank and bucket question can be affected by several factors, including the force applied to the crank, the length of the crank arm, the weight of the bucket and its contents, and any friction or resistance in the system. Additionally, the angle at which the force is applied to the crank can also affect the torque produced.

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