Experiment on the Relationship Between Radial Force and Velocity

Experiment Design:

1. Materials:
• Spinning cylinder (preferably with a constant radius)
• Timer or stopwatch
• Scale or force gauge
• Measuring tape or ruler
2. Procedure:

1. Set up the spinning cylinder in a stable position.

2. Measure the radius of the cylinder and record it.

3. Start with a low initial velocity to ensure safety and gradually increase it for each data point.

4. Measure the time it takes for the cylinder to complete one rotation (time for one revolution).

5. Calculate the velocity of the cylinder using the formula: v = circumference/time, where the circumference can be calculated using the equation: circumference = 2πr (r is the radius of the cylinder).

6. Measure the radial force exerted on the cylinder at each velocity using a scale or force gauge. Record the force values.

7. Repeat the above steps for at least six different velocities, ensuring a wide range of values.

3. Data Table:

Create a table to record the velocity (calculated from time and circumference) and the corresponding radial force at each velocity.

4. Result and Graph:

Based on the data collected, plot a graph of Force vs. Velocity. Analyze the relationship between the two variables.

5. Equation and Prediction:

Based on the graph, determine the equation that best represents the relationship between force and velocity. For example, if the graph appears to be linear, the equation could be in the form: Of force = m * Velocity + c.