A wheel, initially at rest, has a moment of inertia of 2 kg-m 2. If a torque of 30 N-m is applied on the wheel for 10 seconds, how far will the wheel have turned?     750 rad.     1500 rad.     3000 rad.     6000 rad. a) A bucket filled with water has a mass of 23 kg and is attached to a rope, which in turn is wound around a 5 cm radius cylinder at the top of a well. What torque does the weight of the water and bucket produce on the cylinder? ( g = 9.81 m/s 2)     33.7 N-m     17.0 N-m     11.3 N-m     22.6 N-m b) A 40 kg boy is standing on the edge of a stationary 30-kg platform that is free to rotate without friction. The boy tries to walk around the platform in a counterclockwise direction. As he does,     the platform doesn't rotate.     the platform rotates in a clockwise direction just fast enough so that the boy remains stationary relative to the ground.     the platform rotates in a clockwise direction while the boy goes around in a counterclockwise direction relative to the ground.     both go around with equal angular velocities but in opposite directions.

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Chapter1: Units, Trigonometry. And Vectors
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Please answer the question and its subquestions entirely! This is one question with two subquestions. According to the official Bartleby guidelines, I am alowed to have up to two subquestion!

 

1)

A wheel, initially at rest, has a moment of inertia of 2 kg-m 2. If a torque of 30 N-m is applied on the wheel for 10 seconds, how far will the wheel have turned?
   
750 rad.
   
1500 rad.
   
3000 rad.
   
6000 rad.

a)

A bucket filled with water has a mass of 23 kg and is attached to a rope, which in turn is wound around a 5 cm radius cylinder at the top of a well. What torque does the weight of the water and bucket produce on the cylinder? ( g = 9.81 m/s 2)
   
33.7 N-m
   
17.0 N-m
   
11.3 N-m
   
22.6 N-m
b)
A 40 kg boy is standing on the edge of a stationary 30-kg platform that is free to rotate without friction. The boy tries to walk around the platform in a counterclockwise direction. As he does,
   
the platform doesn't rotate.
   
the platform rotates in a clockwise direction just fast enough so that the boy remains stationary relative to the ground.
   
the platform rotates in a clockwise direction while the boy goes around in a counterclockwise direction relative to the ground.
   
both go around with equal angular velocities but in opposite directions.
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