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Question 1 (10 marks) The piston rod of the hydraulic cylinder gives A a constant vertical velocity vA for an interval of motion Roller B is confined to move in the horizontal guide. Determine the angular acceleration of link AB in
The hydraulic cylinder operates the toggle which closes the vertical gate against the pressure of fresh water on the opposite side. The gate is rectangular with a horizontal width of 2.0 m perpendlcular to the paper. For a depth h3.4 m of water, calculate the requlred oll pressure p whlch acts on the 135-mm-dlameter plston of the hydraullc cyllnder. 2.3 m 1.1 mt11 2.3 m 1.6 m Answer: p- MPa the tolerance is +/-2%
A child sleds down a frictionless hill with vertical drop h. At the bottom is a level stretch where the coefficient of friction is 0.27. If she slides 19 m across the level stretch, what's h? Express your answer with the appropriate units.
The Drop Tower is a ride at King’s Dominion where you are raised to a vertical height of 102 m. You are then released from rest and fall freely for 91 m. (ONLY SOLVE FOR PARTS D & E) a) For how long are you in free fall? b)How fast will you be going after falling for 91m. c) The final 11 m of the ride you begin slowing down, eventually coming to rest. Use your result from part b to...
The Drop Tower is a ride at King’s Dominion where you are raised to a vertical height of 102 m. You are then released from rest and fall freely for 91 m. a) For how long are you in free fall? answer--->(t=4.3 s) b) How fast will you be going after falling for 91 m? answer--> (v=42.23m/s) c) The final 11 m of the ride you begin slowing down, eventually coming to rest. Use your result from part 14b to...
An Olympic luge (sled) track has a vertical drop of 160 m and a length of 1600 m. A typical slider and her sled have a combined mass of 100 kg. Assume that she starts effectively from rest at the top of the track and reaches a final speed of 40 m/s (90 mph) at the bottom. 1. Find values for both the work done on her by gravity and the work done by non-conservative forces. 2. Assuming the only...
A skier starts down a 28 ∘ slope. After a vertical drop of 35 m , the slope temporarily levels out and then drops at 18 ∘ an additional 40 m vertically before leveling out again. The coefficient of kinetic friction on both slopes is 0.15, the level stretches is frictionless. a)What is the skier's speed on the higher level stretch? b)What is the skier's speed on the lower level stretch?
A hydraulic lift (similar to those used in automotive service stations) has two vertical cylinders, one the left, and one on the right, plus a connecting pathway between them on the bottom. The left cylinder contains a mass of 600kg (which acts like a piston, pushing downward), and has a cross sectional area of 800cm2. The piston on the right has a cross sectional area of 25cm2 and a negligible weight. If the apparatus is filled with oil (ρ =...
The vertical drop of water in a hydroelectric power plant is 155m (See figure below). Water flows through the plant and into the lower river at the rate of 425m/s. Assume the overall efficiency of the plant as 80%. Density of water d is equal to 1000kg/m3 Acceleration due to gravity g is equal to 9.81m/s2. Ignore the viscous losses in the flowing water. Dam Water Reservoir Hm Turbine Generator River Figure: Schematic diagram of the hydroelectric power plant (a)...
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The vertical drop of water in a hydroelectric power plant is 125m (See figure below). Water flows through the plant and into the lower river at the rate of 325m/s. Assume the overall efficiency n of the plant as 80%. Density of water d is equal to 1000kg/mº. Acceleration due to gravity g is equal to 9.81m/s2. Ignore the viscous losses in the flowing water. Dam Water Reservoir Hm Turbine Generator River Figure: Schematic diagram of...