Federal University of Lafia Practical Physics Results

Federal University of Lafia Practical Physics Results

Experiment Overview

• Subject: 100 Level Practical Physics
• Focus: Measuring time for oscillations at various heights

Results Table

• Measured Parameters: Height (Sp) in cm and Time for 10 Oscillations in seconds.

Time Measurements for 10 Oscillations

• Height (Sp) in cm:

  • 5.00
  • 10.00
  • 15.00
  • 20.00
  • 25.00
  • 30.00
  • 35.00
  • 40.00

• Time (s) for each respective height:

  • Height 5.00 cm: 15.79, 15.64, 15.70 → Mean Period = 1.570 s
  • Height 10.00 cm: 15.59, 15.58, 15.59 → Mean Period = 1.559 s
  • Height 15.00 cm: 15.39, 15.45, 15.40 → Mean Period = 1.542 s
  • Height 20.00 cm: 15.11, 15.14, 15.13 → Mean Period = 1.513 s
  • Height 25.00 cm: 15.16, 15.14, 15.15 → Mean Period = 1.3.5 s
  • Height 30.00 cm: 14.59, 15.07, 14.83 → Mean Period = 1.483 s
  • Height 35.00 cm: 16.04, 16.27, 16.18 → Mean Period = 1.618 s
  • Height 40.00 cm: 17.30, 17.04, 17.47 → Mean Period = 1.749 s

Data Analysis

• Additional Calculations:
  • Height (h) in cm
  • Height Squared (h²) in cm²
  • Height times Period Squared (hT²) in cm·s²

Calculated Results

• Calculated Values:

Graphical Representation

• Task: Plot a graph of $hT^2$ against $h^2$.
• Objective: Determine the slope of the graph.

Key Concepts

• Mean Period (T): Time taken for one complete oscillation, calculated by dividing the total time by the number of oscillations.
• Slope of the Graph: Represents the rate of change of $hT^2$ with respect to $h^2$, which may relate to physical properties of the oscillating system being studied (e.g., pendulum behavior).

Mathematical Implications

• The formula to calculate the slope ($m$) between two points on a line is given by:
  $m = \frac{y<em>2 - y</em>1}{x<em>2 - x</em>1}$
  where $(x1, y1)$ and $(x2, y2)$ are the coordinates of two points on the graph plotted from the experimental results.