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Question

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

The correct answer is

75

Understanding the Harvard Step Test and Physical Efficiency Index

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.

Calculating the Physical Efficiency Index (PEI)

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.

PEI Formula (Long Form - 5 minutes exercise):

The formula for calculating the Physical Efficiency Index for a 5-minute Harvard Step Test is:

\( \text{PEI} = \frac{\text{Duration of exercise in seconds} \times 100}{2 \times (\text{Sum of pulse counts in recovery periods})} \)

Applying the Harvard Step Test Data

Let's break down the information given in the question:

  • Duration of exercise = 5 minutes
  • Recovery pulse count 1 (1 to \(1\frac{1}{2}\) minutes after exercise) = 90 beats
  • Recovery pulse count 2 (2 to \(2\frac{1}{2}\) minutes after exercise) = 65 beats
  • Recovery pulse count 3 (3 to \(3\frac{1}{2}\) minutes after exercise) = 45 beats

Step-by-Step PEI Calculation

Follow these steps to calculate the Physical Efficiency Index:

  1. Convert the exercise duration to seconds.
  2. Sum the pulse counts from the three recovery periods.
  3. Plug the values into the PEI formula.

Step 1: Convert Exercise Duration to Seconds

Duration of exercise = 5 minutes

Since 1 minute = 60 seconds, the duration in seconds is:

\( 5 \text{ minutes} \times 60 \frac{\text{seconds}}{\text{minute}} = 300 \text{ seconds} \)

Step 2: Sum the Recovery Pulse Counts

The pulse counts are given for three specific 30-second intervals during recovery:

  • Interval 1 (1 to \(1\frac{1}{2}\) min): 90 beats
  • Interval 2 (2 to \(2\frac{1}{2}\) min): 65 beats
  • Interval 3 (3 to \(3\frac{1}{2}\) min): 45 beats

Sum of pulse counts = \( 90 + 65 + 45 \)

Sum of pulse counts = \( 200 \text{ beats} \)

Step 3: Calculate the Physical Efficiency Index (PEI)

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.

Interpreting the PEI Score

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.

Revision Table: Harvard Step Test PEI Calculation

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

Additional Information on Cardiovascular Fitness Tests

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:

  • VO\(_2\) max test: This is considered the gold standard, measuring the maximum amount of oxygen a person can use during intense exercise.
  • Cooper Run Test: Running as far as possible in 12 minutes.
  • Balke Test: A treadmill test with increasing incline or speed.
  • Queen's College Step Test: A simpler step test using a lower platform height and a shorter duration.
  • Rockport One-Mile Walk Test: Walking one mile as quickly as possible and measuring heart rate.

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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