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m indent math |
m →Example: Add ^ to indicate that its is 10 to the power. E.g. not 109 but 10 to the power 9 = 1 000 000 000 |
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Pete has just got himself a new freighter, a {{sh|Charon}}. The Charon has a mass of 1,200,000,000 kg and an inertia modifier of 0.02176875 (after adjustment for skills). Pete wants to know how long it takes for his ship to reach the speed needed to enter warp. Since this is 75% of the ship's top speed regardless of what that top speed actually is, he doesn't bother calculating it, but instead simplifies by substituting 0.75 and 1 for ''V'' and ''V<sub>max</sub>'' respectively. | Pete has just got himself a new freighter, a {{sh|Charon}}. The Charon has a mass of 1,200,000,000 kg and an inertia modifier of 0.02176875 (after adjustment for skills). Pete wants to know how long it takes for his ship to reach the speed needed to enter warp. Since this is 75% of the ship's top speed regardless of what that top speed actually is, he doesn't bother calculating it, but instead simplifies by substituting 0.75 and 1 for ''V'' and ''V<sub>max</sub>'' respectively. | ||
Time to Warp = 0.02176875 × 1.2 × | Time to Warp = 0.02176875 × 1.2 × 10^9 × 10^-6 × -ln (1 - 0.75 / 1) | ||
= 0.02176875 × 1.2 × | = 0.02176875 × 1.2 × 10^3 × -ln (1 - 0.75) | ||
= 0.02176875 × 1200 × -ln 0.25 | = 0.02176875 × 1200 × -ln 0.25 | ||
= 26.1225 × 1.38629436 | = 26.1225 × 1.38629436 | ||