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Water Copters

𝐹 = 𝑚 𝑎𝜕 𝑃

𝜕𝑡= 𝑚 𝑎

𝜕 𝑃

𝜕𝑡=0 ⟹ 𝑃 𝑧,𝜒 = 𝑃 𝑧,𝑎𝑖𝑟

𝑚𝜒𝑔 Δ𝑡 = 𝑚𝑎𝑖𝑟𝑣𝑎𝑖𝑟 = 𝜌𝑎𝑖𝑟𝐴𝜒𝑣𝑎𝑖𝑟 Δ𝑡 𝑣𝑎𝑖𝑟

𝑣𝑎𝑖𝑟2 =

𝑚𝜒𝑔

𝜌𝑎𝑖𝑟𝐴𝜒

Some reference

• 𝑣𝑤𝑎𝑡𝑒𝑟 = 6.5 𝑚𝑠𝑒𝑐 ~ 23 𝑘𝑚

ℎ𝑟

• 5K world record: 12:37.35 -> 𝑣𝑊𝑅 = 6.6 𝑚𝑠𝑒𝑐

• 800m ER: 1:41.91 -> 𝑣𝑊𝑅 = 7.92 𝑚𝑠𝑒𝑐

• 1000m WR: 2:11.96 -> 𝑣𝑊𝑅 = 7.57 𝑚𝑠𝑒𝑐

Water-Polo periods:

• 4 quarter game

• Each quarter = 8 minutes of actual play time.

• Time-outs: 2 minutes, 5 minutes half-time.

• 50-60 minutes of actual in-water time.

How much swimming is involved?

• Water polo swimming

• Swimming = Resting?!!

• At the MOST 30% of time.

Water polo violence

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