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22-12-2020
Physics

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A bucket filled with water has a mass of 70kg and is hanging from a rope that is wound around a 0.054 m radius stationary cylinder. If the cylinder does not rotate and the bucket hangs straight down, what is the magnitude of the torque the bucket produces around the center of the cylinder?

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rafaleo84 rafaleo84

23-12-2020

Answer:

T = 37.08 [N*m]

Explanation:

We must remember that torque is defined as the product of a force by a distance. This distance is measured from the point of application of force to the center of rotation of the rotating body.

The force is equal to the product of mass by gravitational acceleration.

[tex]F=m*g\\F=70*9.81\\F=686.7[N][/tex]

Now the torque can be calculated:

[tex]T=F*r\\T=686.7*0.054\\T=37.08[N*m][/tex]

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