A subject performs exercise of 5 minutes on Harvard step test. His recovery pulse count after exercise for 1 to \(1\frac{1}{2}\) minutes is 90, 2 to \(2\frac{1}{2}\) minutes is 65 and 3 to \(3\frac{1}{2}\) minutes is 45. The physical efficiency index of the subject is
75
The Harvard Step Test is a widely used cardiovascular fitness test. It measures your aerobic fitness by assessing your recovery heart rate after a standardized exercise. The test involves stepping up and down onto a platform of a specific height at a set pace for a set duration. The results are used to calculate the Physical Efficiency Index (PEI).
The Physical Efficiency Index gives a score indicating how efficiently your heart recovers after strenuous exercise. A higher score generally indicates better cardiovascular fitness.
There are different formulas for the Harvard Step Test PEI depending on the duration of exercise. For the full 5-minute test, the long-form calculation is used. This formula considers the total duration of the exercise and the sum of the heart (pulse) beats counted during specific recovery periods.
The formula for calculating the Physical Efficiency Index for a 5-minute Harvard Step Test is:
\( \text{PEI} = \frac{\text{Duration of exercise in seconds} \times 100}{2 \times (\text{Sum of pulse counts in recovery periods})} \)
Let's break down the information given in the question:
Follow these steps to calculate the Physical Efficiency Index:
Duration of exercise = 5 minutes
Since 1 minute = 60 seconds, the duration in seconds is:
\( 5 \text{ minutes} \times 60 \frac{\text{seconds}}{\text{minute}} = 300 \text{ seconds} \)
The pulse counts are given for three specific 30-second intervals during recovery:
Sum of pulse counts = \( 90 + 65 + 45 \)
Sum of pulse counts = \( 200 \text{ beats} \)
Now, substitute the values into the PEI formula:
\( \text{PEI} = \frac{\text{Duration of exercise in seconds} \times 100}{2 \times (\text{Sum of pulse counts})} \)
\( \text{PEI} = \frac{300 \times 100}{2 \times 200} \)
\( \text{PEI} = \frac{30000}{400} \)
\( \text{PEI} = \frac{300}{4} \)
\( \text{PEI} = 75 \)
The Physical Efficiency Index of the subject is 75.
The PEI score provides an indication of cardiovascular fitness. The interpretation scale is generally as follows:
| PEI Score Range | Fitness Level |
|---|---|
| Below 50 | Poor |
| 50 - 59 | Low Average |
| 60 - 69 | Average |
| 70 - 79 | High Average |
| 80 - 89 | Good |
| 90 and above | Excellent |
Based on this scale, a PEI of 75 falls into the "High Average" fitness category.
| Component | Value from Question | Calculation/Notes |
|---|---|---|
| Exercise Duration | 5 minutes | Convert to seconds: \( 5 \times 60 = 300 \) seconds |
| Recovery Pulse 1 (1-1.5 min) | 90 beats | |
| Recovery Pulse 2 (2-2.5 min) | 65 beats | |
| Recovery Pulse 3 (3-3.5 min) | 45 beats | |
| Sum of Pulse Counts | \( 90 + 65 + 45 = 200 \) beats | |
| PEI Formula | \( \frac{\text{Duration (s)} \times 100}{2 \times \text{Sum of Pulses}} \) | |
| PEI Calculation | \( \frac{300 \times 100}{2 \times 200} = \frac{30000}{400} = 75 \) | |
| Final PEI Score | 75 |
Cardiovascular fitness, also known as cardiorespiratory fitness, is the ability of your heart, lungs, and blood vessels to supply oxygen to your muscles during prolonged physical activity. Various tests are used to measure it, including:
The Harvard Step Test is valuable because it requires minimal equipment and can be administered relatively easily to groups. It assesses how quickly the heart rate returns to normal after exercise, which is a key indicator of recovery efficiency and cardiovascular health.
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