The voltage across a component is given by v = V 0 e -t/CR . Determine the time taken for voltage v to drop from an initial voltage V 0 of 150 volts to 100 volts, if C = 5 x10 -6 Farads and R = 40 kW....

• 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.