Rotational Motion Lab Report: Exploring Torque and Inertia, Lab Reports of Physics

This lab report explores the principles of rotational motion, focusing on newtons second law of rotation. It investigates the relationship between torque, angular acceleration, and moment of inertia through experimental data. The report includes trials with varying driving pulley sizes and block positions to analyze their effects on angular velocity and rotational inertia. Key findings indicate that angular velocity increases with time, and torque is influenced by the driving pulley radius. The analysis also involves calculating inertia and interpreting graphs to understand the dynamics of rotational motion. Useful for students studying physics, particularly those learning about mechanics and rotational dynamics. It provides a practical example of applying theoretical concepts to experimental data, enhancing understanding of the underlying principles.

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2024/2025

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Lab 9: Rotation
By: Sydney Knight
The purpose of this lab was to experiment with why objects accelerate angularly using Newtonโ€™s Second
Law of Rotation. Also to explore the relationship between torque, angular acceleration, and moment of
inertia. A few technical terms you will see throughout the report will be torque, and angular acceleration,
moment of inertia. Torque is defined as a force that causes rotation. Angular acceleration is the rate of
change in angular velocity measures in radians per second. Lastly moment of inertia is when a rigid
object is freely rotating on a fixed axis and has a net torque acting on it when the object undergoes
angular acceleration. A summary of our findings state that in part one of the lab as time increased the
angular velocity did as well, no matter which driving pulley was used. However the larger the driving
pulley radius resulted in a higher torque, but overall all three driving pulley sizes had the same inertia.
The overall physics concept we used during this lab pertained to Newtonโ€™s Second Law of Rotation
which states that the angular acceleration is proportional to the net torque and inversely proportional to
the moment of inertia. Some equations that were useful during this lab were as follows:
๐‘Ž๐‘›๐‘”๐‘ข๐‘™๐‘Ž๐‘Ÿ ๐‘Ž๐‘๐‘๐‘’๐‘™๐‘’๐‘Ÿ๐‘Ž๐‘ก๐‘–๐‘œ๐‘› (๐›ผ) =โˆ†๐œ”
โˆ†๐‘ก๐‘–๐‘š๐‘’
๐‘ก๐‘œ๐‘Ÿ๐‘ž๐‘ข๐‘’ (๐’ฏ) = ๐‘Ÿ โˆ— ๐น
๐‘š๐‘œ๐‘š๐‘’๐‘›๐‘ก ๐‘œ๐‘“ ๐‘–๐‘›๐‘ก๐‘’๐‘Ÿ๐‘–๐‘Ž (๐ผ) = ๐‘Ÿ
๐›ผ
1: Trial with the small driving pulley
Angular Velocity vs Time
8
7
6
5
4
3
2
1
0
-1
0
y = 0.4003x + 0.4849
2 4 6 8 10 12 14 16 18
Time (sec)
Angular Velocity
pf3

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Download Rotational Motion Lab Report: Exploring Torque and Inertia and more Lab Reports Physics in PDF only on Docsity!

Lab 9: Rotation

By: Sydney Knight

The purpose of this lab was to experiment with why objects accelerate angularly using Newtonโ€™s Second

Law of Rotation. Also to explore the relationship between torque, angular acceleration, and moment of

inertia. A few technical terms you will see throughout the report will be torque, and angular acceleration,

moment of inertia. Torque is defined as a force that causes rotation. Angular acceleration is the rate of

change in angular velocity measures in radians per second. Lastly moment of inertia is when a rigid

object is freely rotating on a fixed axis and has a net torque acting on it when the object undergoes

angular acceleration. A summary of our findings state that in part one of the lab as time increased the

angular velocity did as well, no matter which driving pulley was used. However the larger the driving

pulley radius resulted in a higher torque, but overall all three driving pulley sizes had the same inertia.

The overall physics concept we used during this lab pertained to Newtonโ€™s Second Law of Rotation

which states that the angular acceleration is proportional to the net torque and inversely proportional to

the moment of inertia. Some equations that were useful during this lab were as follows:

๐‘Ž๐‘›๐‘”๐‘ข๐‘™๐‘Ž๐‘Ÿ ๐‘Ž๐‘๐‘๐‘’๐‘™๐‘’๐‘Ÿ๐‘Ž๐‘ก๐‘–๐‘œ๐‘› (๐›ผ)^ =

๐‘ก๐‘œ๐‘Ÿ๐‘ž๐‘ข๐‘’ (๐’ฏ)^ = ๐‘Ÿ โˆ— ๐น

๐‘š๐‘œ๐‘š๐‘’๐‘›๐‘ก ๐‘œ๐‘“ ๐‘–๐‘›๐‘ก๐‘’๐‘Ÿ๐‘–๐‘Ž (๐ผ)^ =

1: Trial with the small driving pulley

Angular Velocity vs Time

y = 0.4003x + 0. 2 4 6 8 10 12 14 16 18

Time (sec)

Angular

Velocity

y = 0.668x + 0.327 2 2: Trial with the medium sized driving pulley. y = 1.0245x + 0. 3: Trial with the large sized driving pulley.

When recording our data on the excel template the yellow cells were eventually used for our calculations

to determine inertia. We first used the yellow cells to create the graphs seen in figure one through three

that displays the change in angular velocity over time which gives us our angular acceleration. Once we

have the angular acceleration then torque can be found. Which that is found by using the mass that is on

the hook and multiplying it by the force of gravity which is 9.81 m/s^2 and then multiplying that by the

radius of the driving pulley used during that trial. Once that was calculated we could divide the torque by

the angular acceleration to get inertia. We got that the inertia for each trial were approximately

0.01207893 kg*m^2. Even though it seemed like most variables in part one were kept constant our

angular acceleration varied across the three trials. This was due the radius of the driving pulley. As you

see in the torque equation, if the radius was to increase then the torque increases, which decreases

angular acceleration.

Part 2

Angular

Velocity

Angular

Velocity

TIme (sec)

Angular Velocity vs. Time

TIme (sec)

Angular velocity vs Time