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Essay Word Count Planner

Essay Word Count Planner calculates daily words, session time, and confidence for essays based on word count, days, and speed.

Formulas Used in Essay Word Count Planner

The calculator uses the following formulas to plan essay writing:

Daily Word Count:

\\[ W_d = \frac{W_t}{D} \\]

Time per Writing Session:

\\[ T_s = \frac{W_d}{S} \\]

Completion Confidence:

\\[ C_c = \min\left(100 \cdot \frac{H}{T_s \cdot H_{\text{max}}}, 100\right) \\]

Where:

  • \\( W_d \\): Daily word count (words/day)
  • \\( W_t \\): Total word count (words)
  • \\( D \\): Days available
  • \\( T_s \\): Time per writing session (hours)
  • \\( S \\): Writing speed (words/hour)
  • \\( C_c \\): Completion confidence (%)
  • \\( H \\): Daily writing hours
  • \\( H_{\text{max}} \\): Maximum reference daily hours (4 hours)

Example Calculations

Example 1: Short Essay, Few Days, Slow Writer, Limited Hours

Input: Total Word Count = 1000 words, Days Available = 2, Writing Speed = 200 words/hr, Daily Writing Hours = 1

\\[ W_d = \frac{W_t}{D} = \frac{1000}{2} = 500 \ \text{words/day} \\] \\[ T_s = \frac{W_d}{S} = \frac{500}{200} = 2.5 \ \text{hours} \\] \\[ C_c = \min\left(100 \cdot \frac{H}{T_s \cdot H_{\text{max}}}, 100\right) = \min\left(100 \cdot \frac{1}{2.5 \cdot 4}, 100\right) = 10 \ \% \\]

Result: Daily Word Count: 500 words/day, Time per Writing Session: 2.5 hours, Completion Confidence: 10%

Example 2: Medium Essay, Moderate Days, Average Writer, Moderate Hours

Input: Total Word Count = 2000 words, Days Available = 5, Writing Speed = 500 words/hr, Daily Writing Hours = 2

\\[ W_d = \frac{W_t}{D} = \frac{2000}{5} = 400 \ \text{words/day} \\] \\[ T_s = \frac{W_d}{S} = \frac{400}{500} = 0.8 \ \text{hours} \\] \\[ C_c = \min\left(100 \cdot \frac{H}{T_s \cdot H_{\text{max}}}, 100\right) = \min\left(100 \cdot \frac{2}{0.8 \cdot 4}, 100\right) = 62.5 \ \% \\]

Result: Daily Word Count: 400 words/day, Time per Writing Session: 0.8 hours, Completion Confidence: 62.5%

Example 3: Long Essay, Many Days, Fast Writer, Ample Hours

Input: Total Word Count = 5000 words, Days Available = 10, Writing Speed = 1000 words/hr, Daily Writing Hours = 4

\\[ W_d = \frac{W_t}{D} = \frac{5000}{10} = 500 \ \text{words/day} \\] \\[ T_s = \frac{W_d}{S} = \frac{500}{1000} = 0.5 \ \text{hours} \\] \\[ C_c = \min\left(100 \cdot \frac{H}{T_s \cdot H_{\text{max}}}, 100\right) = \min\left(100 \cdot \frac{4}{0.5 \cdot 4}, 100\right) = 100 \ \% \\]

Result: Daily Word Count: 500 words/day, Time per Writing Session: 0.5 hours, Completion Confidence: 100%

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