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 Pascal

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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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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