March 15, 2018

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By Allan A MacRae

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For example, a hydraulic motor can accelerate or change its speed more quickly than an electric motor of the same torque rating (mainly because it has a far lower inertia). The response of a highperformance hydraulic system is usually measurable in terms of milliseconds with the permissible degree of oscillation closely restricted. Concepts of response are based on the subject of dynamics and this chapter summarises the linear dynamic analysis of 'first-order' and 'second-order' systems and explains their responses to 'step', 'ramp' and 'harmonic' inputs.

1% air present by volume if the average pressure is 250 bar or 3625 lb/in 2 . 5 mm wall thickness contains water of specific gravity 1 and bulk modulus 21 x 108 Njm 2 • Estimate the speed at which a 'water hammer' surge will travel along the pipe. ) 14 A rigid pipeline oflength 4 m containing oil has one end blocked and the other open. Estimate the frequency in hertz of a pressure wave in the pipe. ) 15 A continuously operating circuit has a pump driven by an electric motor with an adjustable relief valve to bleed excess oil through a water cooler 20 Hydraulic Systems Analysis to a tank.

2 shows a simple RC circuit, another first-order system as regards the voltage across the condenser. 2b or d82 82 +Tcrt=el a first-order equation as before with T( = RC) having the dimensions of time (in this case (volts/amperes) x (coulombs/volts) and coulombs equal ampere seconds). 3 illustrates a simple hydraulic device which can, under special circumstances, be regarded as a first-order system (see chapter 8 for more detailed analysis). A displacement ofthe input horizontally causes the valve to open admitting fluid to one side of the piston and exhausting fluid from the other, thereby moving the piston.

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An Introduction and response to the higher criticism of the Pentateuch by Allan A MacRae


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