Mass and Rotation Be able to use the rotational dynamics apparatus to measure the moment of inertia of a meterstick. Or, given data on a meterstick such as the radius/diameter of a pulley, and a table of data (e.g., hanging mass and corresponding angular acceleration), determine the moment of inertia of the meterstick and its mass. Use equilibrium considerations to relate masses, their positions, and the system's center of mass. SAMPLE You are measuring the moment of inertia and mass of a meterstick, as in lab. In this case, the pulley attached to the meterstick has a radius of 2.00 cm, different from the value in lab. The following values are obtained for the hanging mass and the angular acceleration. m Trial Total mass hanging from cord 30.0 grams 50.0 grams 70.0 grams 90.0 grams 1 2 3 4 Angular Acceleration of meterstick 0.392 rad/sec² 0.653 rad/sec² 0.913 rad/sec² 1.17 rad /sec² For each of the four trials, calculate the torque exerted on the disk. (Be sure to show your work.) Carefully construct a large graph of torque vs. angular acceleration, and from the slope determine the moment of inertia of the disk. Include units! (final answer: 0.0151 kg m²) From the results of your experiment, what is the mass of the meterstick? (final answer: 181 g) Now imagine that we balance the meterstick on a pivot point by placing a 160 gram weight 18.0 cm from the "0 cm" end of the meterstick. Using your value of the meterstick mass, determine the position of the pivot point. Be specific! (final answer: pivot point is 35.0 cm from the "0 cm" end of the meterstick.)
Mass and Rotation Be able to use the rotational dynamics apparatus to measure the moment of inertia of a meterstick. Or, given data on a meterstick such as the radius/diameter of a pulley, and a table of data (e.g., hanging mass and corresponding angular acceleration), determine the moment of inertia of the meterstick and its mass. Use equilibrium considerations to relate masses, their positions, and the system's center of mass. SAMPLE You are measuring the moment of inertia and mass of a meterstick, as in lab. In this case, the pulley attached to the meterstick has a radius of 2.00 cm, different from the value in lab. The following values are obtained for the hanging mass and the angular acceleration. m Trial Total mass hanging from cord 30.0 grams 50.0 grams 70.0 grams 90.0 grams 1 2 3 4 Angular Acceleration of meterstick 0.392 rad/sec² 0.653 rad/sec² 0.913 rad/sec² 1.17 rad /sec² For each of the four trials, calculate the torque exerted on the disk. (Be sure to show your work.) Carefully construct a large graph of torque vs. angular acceleration, and from the slope determine the moment of inertia of the disk. Include units! (final answer: 0.0151 kg m²) From the results of your experiment, what is the mass of the meterstick? (final answer: 181 g) Now imagine that we balance the meterstick on a pivot point by placing a 160 gram weight 18.0 cm from the "0 cm" end of the meterstick. Using your value of the meterstick mass, determine the position of the pivot point. Be specific! (final answer: pivot point is 35.0 cm from the "0 cm" end of the meterstick.)
Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter10: Rotation Of A Rigid Object About A Fixed Axis
Section: Chapter Questions
Problem 10.3OQ: A wheel is rotating about a fixed axis with constant angular acceleration 3 rad/s2. At different...
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Question
Transcribed Image Text:Mass and Rotation
Be able to use the rotational dynamics apparatus to measure the moment of inertia
of a meterstick. Or, given data on a meterstick such as the radius/diameter of a pulley,
and a table of data (e.g., hanging mass and corresponding angular acceleration),
determine the moment of inertia of the meterstick and its mass. Use equilibrium
considerations to relate masses, their positions, and the system's center of mass.
SAMPLE
You are measuring the moment of inertia and mass of a meterstick, as in lab. In this case,
the pulley attached to the meterstick has a radius of 2.00 cm, different from the value in
lab. The following values are obtained for the hanging mass and the angular acceleration.
www
……….………
……………………
Trial Total mass hanging from cord
1
2
3
4
30.0 grams
50.0 grams
70.0 grams
90.0 grams
m
For each of the four trials, calculate the torque exerted on the disk. (Be sure to show your
work.) Carefully construct a large graph of torque vs. angular acceleration, and from the
slope determine the moment of inertia of the disk. Include units!
(final answer: 0.0151 kg m²)
From the results of your experiment, what is the mass of the meterstick?
(final answer: 181 g)
Angular Acceleration of meterstick
0.392 rad/sec²
0.653 rad /sec²
0.913 rad/sec²
1.17 rad /sec²
Now imagine that we balance the meterstick on a pivot point by placing a 160 gram
weight 18.0 cm from the "0 cm" end of the meterstick. Using your value of the
meterstick mass, determine the position of the pivot point. Be specific!
(final answer: pivot point is 35.0 cm from the "0 cm" end of the meterstick.)
160 g
x=?? cm
↓
x=18.0 cm
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