2 diabetes and the strofing Author at the more back and forth. There 30 cm Lata be the distance between the centre of th

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2 diabetes and the strofing Author at the more back and forth. There 30 cm Lata be the distance between the centre of the dood where the rod attaches to the poo, and it be the angle formed in the diagram. One can showing the low of coin) that 2101 - 30900 co-- 2 * 30 Aculistise, which will be in seconda (a) Suppose the disploe at a constant speed, making two full revolution every cod. Pio ap Wha units should we being do dr (b) te implicit differentiation to relate ar 10 ar (c) When - 3/2, at what speed is the piston moving, and in what direction! (d) In a combustion engine, controlled explosions force the piston back towards the disc. If this piston were forced towards the disc at a speed of 5cm/s while w/3. how fat would be changing in that it

3. A 30cm rod is attached to a piston and the edge of a rotating diso. As the disc rotates, it forces the piston to move back and forth. The dise has radius 10cm. 30cm Lot be the distance between the centre of the disc and where the rod attaches to the piston, and let be the angle formed as in the diagram. One can show (using the law of conines) that +10% - 30 cos(-) - - 800 2.2.10 20. As usual, t is time, which will be in seconds de (a) Suppose the dise spins at a constant speed, making two full revolutions every second. Find What de units should we be using de dar (b) Use implicit differentiation to relate to dt dt (c) When 8 = 3/2, at what speed is the piston moving, and in what direction? (d) In a combustion engine, controlled explosions force the pistons back towards the dise. If this piston were forced towards the disc at a speed of 5cm/s while 0/3, how fast would be changing in that instant?