The formula to calculate the Velocity for Transmission of Maximum Power by Belt is:
\[ \text{Velocity of Belt} = \sqrt{\frac{\text{Maximum Tension of Belt}}{3 \times \text{Mass of Belt per Unit Length}}} \]
Where:
The Velocity for Transmission of Maximum Power by Belt is the rate at which the belt moves to transmit the maximum power possible.
Let's assume the following values:
Using the formula:
\[ \text{Velocity of Belt} = \sqrt{\frac{750}{3 \times 21}} \]
Evaluating:
\[ \text{Velocity of Belt} = 3.45032779671177 \text{ m/s} \]
The Velocity of Belt is 3.45032779671177 m/s.
| Maximum Tension of Belt (N) | Mass of Belt per Unit Length (kg) | Velocity of Belt (m/s) |
|---|---|---|
| 100 | 1 | 5.773502691896 |
| 100 | 2 | 4.082482904639 |
| 100 | 3 | 3.333333333333 |
| 100 | 4 | 2.886751345948 |
| 100 | 5 | 2.581988897472 |
| 100 | 6 | 2.357022603955 |
| 100 | 7 | 2.182178902360 |
| 100 | 8 | 2.041241452319 |
| 100 | 9 | 1.924500897299 |
| 100 | 10 | 1.825741858351 |
| 200 | 1 | 8.164965809277 |
| 200 | 2 | 5.773502691896 |
| 200 | 3 | 4.714045207910 |
| 200 | 4 | 4.082482904639 |
| 200 | 5 | 3.651483716701 |
| 200 | 6 | 3.333333333333 |
| 200 | 7 | 3.086066999242 |
| 200 | 8 | 2.886751345948 |
| 200 | 9 | 2.721655269759 |
| 200 | 10 | 2.581988897472 |
| 300 | 1 | 10.000000000000 |
| 300 | 2 | 7.071067811865 |
| 300 | 3 | 5.773502691896 |
| 300 | 4 | 5.000000000000 |
| 300 | 5 | 4.472135955000 |
| 300 | 6 | 4.082482904639 |
| 300 | 7 | 3.779644730092 |
| 300 | 8 | 3.535533905933 |
| 300 | 9 | 3.333333333333 |
| 300 | 10 | 3.162277660168 |
| 400 | 1 | 11.547005383793 |
| 400 | 2 | 8.164965809277 |
| 400 | 3 | 6.666666666667 |
| 400 | 4 | 5.773502691896 |
| 400 | 5 | 5.163977794943 |
| 400 | 6 | 4.714045207910 |
| 400 | 7 | 4.364357804720 |
| 400 | 8 | 4.082482904639 |
| 400 | 9 | 3.849001794598 |
| 400 | 10 | 3.651483716701 |
| 500 | 1 | 12.909944487358 |
| 500 | 2 | 9.128709291753 |
| 500 | 3 | 7.453559924999 |
| 500 | 4 | 6.454972243679 |
| 500 | 5 | 5.773502691896 |
| 500 | 6 | 5.270462766947 |
| 500 | 7 | 4.879500364743 |
| 500 | 8 | 4.564354645876 |
| 500 | 9 | 4.303314829119 |
| 500 | 10 | 4.082482904639 |
| 600 | 1 | 14.142135623731 |
| 600 | 2 | 10.000000000000 |
| 600 | 3 | 8.164965809277 |
| 600 | 4 | 7.071067811865 |
| 600 | 5 | 6.324555320337 |
| 600 | 6 | 5.773502691896 |
| 600 | 7 | 5.345224838248 |
| 600 | 8 | 5.000000000000 |
| 600 | 9 | 4.714045207910 |
| 600 | 10 | 4.472135955000 |
| 700 | 1 | 15.275252316520 |
| 700 | 2 | 10.801234497346 |
| 700 | 3 | 8.819171036882 |
| 700 | 4 | 7.637626158260 |
| 700 | 5 | 6.831300510640 |
| 700 | 6 | 6.236095644623 |
| 700 | 7 | 5.773502691896 |
| 700 | 8 | 5.400617248673 |
| 700 | 9 | 5.091750772173 |
| 700 | 10 | 4.830458915396 |
| 800 | 1 | 16.329931618555 |
| 800 | 2 | 11.547005383793 |
| 800 | 3 | 9.428090415821 |
| 800 | 4 | 8.164965809277 |
| 800 | 5 | 7.302967433402 |
| 800 | 6 | 6.666666666667 |
| 800 | 7 | 6.172133998484 |
| 800 | 8 | 5.773502691896 |
| 800 | 9 | 5.443310539518 |
| 800 | 10 | 5.163977794943 |
| 900 | 1 | 17.320508075689 |
| 900 | 2 | 12.247448713916 |
| 900 | 3 | 10.000000000000 |
| 900 | 4 | 8.660254037844 |
| 900 | 5 | 7.745966692415 |
| 900 | 6 | 7.071067811865 |
| 900 | 7 | 6.546536707080 |
| 900 | 8 | 6.123724356958 |
| 900 | 9 | 5.773502691896 |
| 900 | 10 | 5.477225575052 |
| 1000 | 1 | 18.257418583506 |
| 1000 | 2 | 12.909944487358 |
| 1000 | 3 | 10.540925533895 |
| 1000 | 4 | 9.128709291753 |
| 1000 | 5 | 8.164965809277 |
| 1000 | 6 | 7.453559924999 |
| 1000 | 7 | 6.900655593424 |
| 1000 | 8 | 6.454972243679 |
| 1000 | 9 | 6.085806194502 |
| 1000 | 10 | 5.773502691896 |