P H Metres Water Level Figure 6 Figure 6 Shows The Cross Section Of A Water Wheel The Wheel Is Free To Rotate About A 1 (33.76 KiB) Viewed 246 times
P H Metres Water Level Figure 6 Figure 6 Shows The Cross Section Of A Water Wheel The Wheel Is Free To Rotate About A 2 (30.54 KiB) Viewed 246 times
P H metres - Water level Figure 6 Figure 6 shows the cross-section of a water wheel. The wheel is free to rotate about a fixed axis through the point C. The point P is at the end of one of the paddles of the wheel, as shown in Figure 6. I The water level is assumed to be horizontal and of constant height. The vertical height, H metres, of P above the water level is modelled by the equation H=3+4 cos (0.5t) - 2 sin (0.5t) where t is the time in seconds after the wheel starts rotating.
Using the model, find (b) (i) the maximum height of P above the water level, (ii) the value of t when this maximum height first occurs, giving your answer to one decimal place. (E In a single revolution of the wheel, P is below the water level for a total of T seconds. According to the model, (c) find the value of T giving your answer to 3 significant figures. (Solutions based entirely on calculator technology are not acceptable.) ( In reality, the water level may not be of constant height. (d) Explain how the equation of the model should be refined to take this into account. I (Total for question 11 marks
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