Introduction:

The least count of a spring balance is the smallest measurement that can be accurately read from the scale. It is an important parameter to consider when using a spring balance for measuring small forces. The least count is determined by the scale division and the number of divisions on the scale.

Steps to calculate the least count of a spring balance:

Step 1: Determine the scale division:

The scale division is the smallest division marked on the scale of the spring balance. It represents the minimum increment that can be read from the scale. For example, if the scale division is marked as 1 kg, it means that the spring balance can measure forces in increments of 1 kg.

Step 2: Count the number of divisions:

Count the total number of divisions on the scale of the spring balance. This includes all the major divisions and any subdivisions in between them. For example, if the scale has 10 major divisions and each major division has 10 subdivisions, the total number of divisions would be 100.

Step 3: Calculate the least count:

To calculate the least count, divide the scale division by the total number of divisions on the scale. This will give you the smallest measurement that can be accurately read from the scale. The formula for calculating the least count is:

Least count = Scale division / Total number of divisions

Example:

Let's consider an example where the scale division is 1 kg and there are 20 divisions on the scale.

Scale division = 1 kg
Total number of divisions = 20

Using the formula, we can calculate the least count as follows:

Least count = 1 kg / 20 = 0.05 kg

Therefore, the least count of the spring balance in this example is 0.05 kg.

Conclusion:

Calculating the least count of a spring balance is essential for obtaining accurate measurements. By determining the scale division and counting the number of divisions on the scale, we can easily calculate the least count. It is important to consider the least count while using a spring balance to ensure precise measurements of small forces.