The principles that you will examine in this lab can be illustrated by studying a falling bucket. Imagine a frictionless pulley in the shape of a solid cylinder of unknown mass M and radius 0.125 m that is used to draw water from a well. A bucket of mass 1.5 kg is attached to a cord wrapped around the cylinder. The bucket starts from rest at the top of the well and falls for 2.5 s before hitting the water at a distance of 6 m below the top of the well. Neglect the mass of the cord.
The principles that you will examine in this lab c
-What is the linear acceleration of the falling bucket?
Hint: remember that h=(1/2)at^2 ? a=2h/t^2
-What is the angular acceleration of the rotating pulley?
-What is the tension in the cord?
-What is the value of the torque that is applied to the pulley by the bucket hanging on the cord? Use the tension from the previous question.
-Find the moment of inertia of the rotating pulley using the torque and the angular acceleration.
-Calculate the mass of the pulley using the moment of inertia.
-What is the change in the potential energy of the bucket from the top of the well to the water level?
-What is the linear velocity of the falling bucket just as it hits the water?
-What is the angular velocity of the rotating pulley just as the falling bucket hits the water?Use the relation between the angular velocity and the linear velocity.
-What is the angular momentum of the rotating pulley just as the falling bucket hits the water?Use the moment of inertia and the angular velocity of the pulley.
-What is the kinetic energy of the falling bucket just as it hits the water?
-What is the kinetic energy of the rotating pulley just as the falling bucket hits the water?
-What is the total kinetic energy of the falling bucket and the rotating pulley just as the falling bucket hits the water?Give your answer to 3 sig figs.
-Is the total kinetic energy smaller than, equal to, or larger than the magnitude of the potential energy change?Ignore small differences in the least significant digit.
KE is smaller than ?PE
KE is equal to ?PE
KE is larger than ?PE
-If the pulley were not frictionless, would the total kinetic energy be smaller than, equal to, or larger than the magnitude of the potential energy change?
KE would be smaller than ?PE
KE would be equal to ?PE
KE would be larger than ?PE
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The principles that you will examine in this lab can be illustrated by studying a falling bucket. Im...
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