Young's Modulus of a Metre Ruler
Anil Shrestha
IB Physics Labwork
FINDING YOUNG’S MODULUS OF WOODEN METRE RULER
INTRODUCTION: Young’s modulus is also known as tensile modulus. It is the measure of elasticity and it is a very important characteristic of a material. The formula of young’s modulus is stress by strain. In this experiment I am going to determine the young’s modulus (E) of wood from the period of oscillation of a loaded wooden ruler. Equation relating the period of oscillation t to the overhanging length l of the ruler is; T2=kl3/E
DESIGN:
To do this experiment I will following equipments; g-clamp,1metre wooden ruler, 50 gram of mass, tape, stop watch and materials to write. After getting all the required materials I will start to fix the materials. I will clamp the wooden ruler with the help of g-clamp. Using the tape I will attach the 50g mass at the end of the ruler. I will start the oscillations with the length of 95cm of the ruler and then 90cm, 85cm and gradually decreasing. I will then make a angle less than 150 by the ruler and release it. With the help of stop watch I will measure the time period required to complete 20 oscillations. I will use the same wooden ruler for doing the whole experiment so that the elasticity in my experiment does not change. I will measure the time period for 20 oscillations for every lengths and also use the 50 g mass in every length. The design of my lab experiment looks similar to the given picture.
G-clamp
Plastic scale
Wooden ruler
50g mass
DATA AND ANALYSIS:
Raw data: length(l) | time for 20 oscillations(t) /sec | ±0.10 /cm | t1 | t2 | t2 | t4 | tavg ± ∆tavg | 95.0 | 16.00 | 16.06 | 16.09 | 15.94 | 16.02 ± 0.15 | 90.0 | 14.47 | 14.37 | 14.41 | 14.50 | 14.44 ± 0.13 | 85.0 | 13.19 | 13.13 | 13.11 | 13.22 | 13.18 ± 0.09 | 80.0 | 12.19 | 12.09 | 12.19 | 12.22 | 12.17 ± 0.10 | 75.0 | 11.06 | 11.12 | 11.10 | 11.09 | 11.09 ± 0.06 | 70.0 | 10.06 | 10.00 | 9.95 | 10.09 | 10.03 ± 0.14 | 65.0 | 9.10 |
IB Physics Labwork
FINDING YOUNG’S MODULUS OF WOODEN METRE RULER
INTRODUCTION: Young’s modulus is also known as tensile modulus. It is the measure of elasticity and it is a very important characteristic of a material. The formula of young’s modulus is stress by strain. In this experiment I am going to determine the young’s modulus (E) of wood from the period of oscillation of a loaded wooden ruler. Equation relating the period of oscillation t to the overhanging length l of the ruler is; T2=kl3/E
DESIGN:
To do this experiment I will following equipments; g-clamp,1metre wooden ruler, 50 gram of mass, tape, stop watch and materials to write. After getting all the required materials I will start to fix the materials. I will clamp the wooden ruler with the help of g-clamp. Using the tape I will attach the 50g mass at the end of the ruler. I will start the oscillations with the length of 95cm of the ruler and then 90cm, 85cm and gradually decreasing. I will then make a angle less than 150 by the ruler and release it. With the help of stop watch I will measure the time period required to complete 20 oscillations. I will use the same wooden ruler for doing the whole experiment so that the elasticity in my experiment does not change. I will measure the time period for 20 oscillations for every lengths and also use the 50 g mass in every length. The design of my lab experiment looks similar to the given picture.
G-clamp
Plastic scale
Wooden ruler
50g mass
DATA AND ANALYSIS:
Raw data: length(l) | time for 20 oscillations(t) /sec | ±0.10 /cm | t1 | t2 | t2 | t4 | tavg ± ∆tavg | 95.0 | 16.00 | 16.06 | 16.09 | 15.94 | 16.02 ± 0.15 | 90.0 | 14.47 | 14.37 | 14.41 | 14.50 | 14.44 ± 0.13 | 85.0 | 13.19 | 13.13 | 13.11 | 13.22 | 13.18 ± 0.09 | 80.0 | 12.19 | 12.09 | 12.19 | 12.22 | 12.17 ± 0.10 | 75.0 | 11.06 | 11.12 | 11.10 | 11.09 | 11.09 ± 0.06 | 70.0 | 10.06 | 10.00 | 9.95 | 10.09 | 10.03 ± 0.14 | 65.0 | 9.10 |