Calculation of Revolutions

Given:
- Number of revolutions per unit of energy = 200 revolutions
- Current (I) = 50 Amps
- Voltage (V) = 200 V
- Power factor (PF) = 0.5
- Time (t) = 1 hour

We know that the power consumed by a load is given by the formula:
Power (P) = V * I * PF

Calculating the Power
Substituting the given values, we have:
P = 200 * 50 * 0.5
P = 5000 Watts

Calculating the Energy Consumed
Energy (E) = P * t
E = 5000 * 1
E = 5000 Watt-hours

Calculating the Number of Revolutions
Since the energy meter is designed to make 200 revolutions per unit of energy, we can calculate the number of revolutions made by it using the formula:
Number of Revolutions = Energy Consumed / (Revolutions per Unit of Energy)

Substituting the values, we have:
Number of Revolutions = 5000 / 200
Number of Revolutions = 25

Calculating the Percentage Error
Given that the actual number of revolutions made by the energy meter is 1200, we can calculate the percentage error using the formula:
Percentage Error = ((Actual Value - Expected Value) / Expected Value) * 100

Substituting the values, we have:
Percentage Error = ((1200 - 25) / 25) * 100
Percentage Error = 4700%

Explanation
The energy meter is designed to make 200 revolutions per unit of energy. However, when connected to the given load, it actually makes 1200 revolutions. This means that the energy meter is overcounting the number of revolutions by a significant amount. The percentage error calculated is 4700%, which indicates a large deviation from the expected value.

This discrepancy could be due to various factors such as inaccuracies in the energy meter's design, manufacturing defects, or calibration issues. It is important to note that such errors can affect the accuracy of energy measurements, leading to incorrect billing or inefficient energy usage tracking.

To ensure accurate energy measurements, energy meters should be periodically calibrated and tested by authorized agencies. Regular maintenance and calibration can help reduce errors and improve the overall accuracy of the energy meter readings.

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