The voltage across a component is given by v = V0e-t/CR. Determine the time taken for voltage v to drop from an initial voltage V0 of 150 volts to 100 volts, if C = 5 x10-6 Farads and R = 40 kW. A room 10 m wide has a span roof which slopes 300 on one side and 350 on the other. Find the length of the roof slopes, correct to the nearest cm. A transmission line between two pylons hangs so that it’s height is describedby y = 30 cosh(x/30) metres. Determine correct to 4 significant figures the value of x when y = 60 m. The pressure loss p in a pipe is related to the flow rate Q by the equationP = KQn, where K and n are constants. If K = 190 x 103 determine the value for n when a flow rate of Q = 0.04 m3/s causes a pressure loss of 180 Pascals.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The voltage across a component is given by v = V₀e^-t/CR. Determine the time taken for voltage v to drop from an initial voltage V₀ of 150 volts to 100 volts, if C = 5 x10^-6 Farads and R = 40 kW.

A room 10 m wide has a span roof which slopes 30⁰ on one side and 35⁰ on the other. Find the length of the roof slopes, correct to the nearest cm.

A transmission line between two pylons hangs so that it’s height is described

by y = 30 cosh(x/30) metres. Determine correct to 4 significant figures the value of x when y = 60 m.

The pressure loss p in a pipe is related to the flow rate Q by the equation

P = KQⁿ, where K and n are constants. If K = 190 x 10³ determine the value for n when a flow rate of Q = 0.04 m³/s causes a pressure loss of 180 Pascals.

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The pressure loss p in a pipe is related to the flow rate Q by the
equation P = KQ^n
, where K and n are constants. If K = 190 x 10³
determine the value for n when a flow rate of Q = 0.04 m³/s
causes a pressure loss of 180 Pascals.

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