1. A rusty patched bumblebee Bombus affinis weighs 0.15 g, has a flight muscle mass of 45 mg, a total wing area of 0.8 cm?, and flaps its wings at 200 Hz. In this problem we will analyze its ability to hover in place. Assume that during the downstroke the wings generate a lifting force, but that no force is generated during the upstroke. A How far does the bee fall during each upstroke? (The downstroke pushes it back up by the same amount.) B How much force must the bee generate during each downstroke in order to hover? C Suppose that the wings swing through a 70 angle during the downstroke. Look up a picture of this insect and use the wing area to estimate the distance of the centre of the mass of the wing from the pivot point. D sing the information you've been given or have calculated, determine how much power the flight muscles have to provide in order to hover. E Assuming that the amount of weight a bee can carry is limited by the maximum power output of its flight muscles, estimate the maximum extra weight that the bee can carry. I a. wingbeat F= 200H2: 200 up & downstrike per sec 1 upstrolue - 200 20+ 2: 2.5 X 10 -3 t S = ut + z at 2 S = =( - 9.81) (2. 5x10 ) = - 3. 07x10 m bee falls 0.03 mm b. Flirt must allow bee to move up against gravity Flift = ung = 0.15 9 x 9. 81 = 1. 5 x 10-# kg x 9.81 = 1. 4715 x 10-3 C. bee wing looks similar to triangle looks thinner at the ends and move veiny close to pinot point . x = 0.8 x: 1 126 since wine is heavier closer to pivot point, I assume the centre of mass is around 0. tom away from pivot point = 0.004 m d. P = FV = IW 70 degrees angular velocity : co- ot = 488. 69 rad /s 2. 5x 10- 3